CostasArrays.org: Costas Array related publications

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• Generation Methods • Enumeration Results • Signal Processing • Number Theory • Other • Unspecified •

Generation Methods

• James Beard. Costas Array Generator Polynomials in Finite Fields. In Proceedings of the 42nd Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2008.
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• Konstantinos Drakakis. Higher Dimensional Generalizations of the Costas Property. In Proceedings of the 42nd Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2008.
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• Konstantinos Drakakis and Scott Rickard. Costas Permutations in the Continuum. In Proceedings of the 42nd Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2008.
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• Konstantinos Drakakis and Scott Rickard. On the Generalization of the Costas Property in the Continuum. Advances in Mathematics of Communications, 2(2):113–130, 2008.
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• Ken Taylor, Konstantinos Drakakis, and Scott Rickard. Generated, Emergent, and Sporadic Costas Arrays. In The IMA International Conference on Mathematics in Signal Processing, Cirencester, December 2008.
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• Solomon Golomb and Guang Gong. The Status of Costas Arrays. IEEE Transactions on Information Theory, 53(11):4260–4265, November 2007.
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• Konstantinos Drakakis. A review of Costas arrays. Journal of Applied Mathematics, 2006:Article ID 26385, 32 pages, 2006.
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• Konstantinos Drakakis, Rod Gow, and Scott Rickard. On the parity populations of Welch-constructed Costas arrays. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Konstantinos Drakakis, Rod Gow, and Liam O'Carroll. On some properties of Costas arrays generated via finite fields. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Solomon Golomb. The Status of Costas Array Construction. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Rod Gow. A Regularity Property of Golomb-Costas Arrays. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Oscar Moreno and Solomon Golomb. A new optimal double periodical construction of one target two-dimensional arrays. In IEEE International Symposium on Information Theory (ISIT), Chicago, USA, 2004.
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• Scott Rickard. Searching for Costas arrays using periodicity properties. In Institute of Mathematics and its Applications, 2004.
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• Chieh-Fu Chang and Mark Bell. Frequency-Coded Waveforms for Enhanced Delay-Doppler Resolution. IEEE Transactions on Information Theory, 49(11):2960–2971, November 2003.
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• Wensong Chu and Solomon Golomb. A new recursive construction for optical orthogonal codes. IEEE Transactions on Information Theory, 49(11):3072–3076, November 2003.
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• Oscar Moreno, Dorothy Bollman, and Li Yuchun. Exhaustive Search for Costas-Type Sequences for Multi-Target Recognition. In Proceedings of the The Ninth IEEE Workshop on Future Trends of Distributed Computing Systems (FTDCS ’03), March 2003.
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• James Beard. Costas arrays, properties and generators. In IEEE AES Regional Meeting, New Jersey, USA, October 2002.
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• Oscar Moreno and Solomon Golomb. Optical Orthogonal Codes and Multi-Target Costas and Sonar Arrays. In IEEE International Symposium on Information Theory (ISIT), Lausanne, Switzerland, 2002.
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• Scott Rickard. The quest for Costas arrays. In IEEE AES Regional Meeting, New Jersey, USA, October 2002.
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• Jianquan Ouyang. A general algorithm for Costas arrays. Natural Science Journal, Xiangtan Univ., 21(1):27–29, 1999.
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• Oscar Moreno, Zhen Zhang, Vijay Kumar, and Victor Zinoviev. New constructions of optimal cyclically permutable constant weight codes. IEEE Transactions on Information Theory, 41(2):448–455, Jan 1995.
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• Solomon Golomb. The T4 and G4 Constructions for Costas Arrays. IEEE Transactions on Information Theory, 38(4):1404–1406, July 1992.
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• B. Popovic. New Constructions of Costas Sequences. Electronics Letters, 25(1):40–41, January 1989.
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• Tuvi Etzion. Constructions for perfect maps and pseudo-random arrays. IEEE Transactions on Information Theory, 34(5):1308–1316, September 1988.
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• Hans Luke. Sequences and arrays with perfect periodic correlation. IEEE Transactions on Aerospace and Electronic Systems, 24(3):287–294, May 1988.
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• Weita Chang. A remark on the definition of Costas arrays. In Proceedings of the IEEE, pp. 522–523, April 1987.
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• Richard Games. An Algebraic Construction Of Sonar Sequences Using M-Sequences. Society for Industrial and Applied Mathematics Journal on algebraic and discrete methods, 8(4):753–761, October 1987.
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• Luo Huang. On constructions for Costas arrays. Fujian Shifan Daxue Xuebao Ziran Kexue Ban, pp. 17–22, 1986.
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• Solomon Golomb. Algebraic Constructions For Costas Arrays. Journal Of Combinatorial Theory Series A, 37(1):13–21, 1984.
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• Solomon Golomb and Herbert Taylor. Constructions and Properties of Costas Arrays. Proceedings of the IEEE, 72(9):1143–1163, September 1984.
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Enumeration Results

• Konstantinos Drakakis, Scott Rickard, James Beard, Rodrigo Caballero, Francesco Iorio, Gareth O'Brien, and John Walsh. Results of the Enumeration of Costas Arrays of Order 27. IEEE Transactions on Information Theory, 54(10):4684–4687, 2008.
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• Scott Rickard and John Healy. Stochastic Search for Costas Arrays. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Scott Rickard, Edward Connell, Frank Duignan, and Aidan Wade. The enumeration of Costas Arrays of size 26. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Jong-Seon No, Hong-Yeop Song, and Tor Helleseth, editors. Singly Periodic Costas Arrays are equivalent to polygonal path Vatican squares, pp. 45–62, Springer, 2003.
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• Oscar Moreno. On the existence and number of Costas arrays. Preprint, 2002.
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• Guyanying Bu. On the equivalence problem of Costas arrays. Natural Science Journal, Xiangtan Univ., 20(1):29–33, 1998.
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• John Robinson. Golomb rectangles as folded rulers. IEEE Transactions on Information Theory, 43(1):290–293, January 1997.
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• Yixian Yang. New Costas arrays with small cross-coincidences and new truncated Costas optical orthogonal codes. Chinese Journal of Electronics, 6(3):54–62, July 1997.
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• Yi Yang, Xin Niu, and Cheng Xu. Counter example of truncated Costas optical orthogonal codes. IEEE Transactions on Communications, 45(6):640–643, June 1997.
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• Oscar Moreno and Svetislav Maric. Classes of Costas and sonar sequences for multiple-target recognition. In Proceedings of the Thirty-Fourth Annual Allerton Conference on Communication, Control, and Computing, pp. 703–706, October 1996.
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• Oscar Moreno, Pei Pei, and John Ramírez. A parallel algorithm for the enumeration of Costas sequences. In Proceedings of the Seventh Society for Industrial and Applied Mathematics Conference (SIAM) on Parallel Processing for Scientific Computing, pp. 255–260, San Francisco, CA, USA, February 1995.
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• Joon-Sung Bae and Eun-Soo Kim. Two-dimensional optical code division multiple access (CDMA) system using the Costas Array. In Society of Photo-optical Instrumentation Engineers (SPIE) Proceedings, Volume 2297, Photonics for Processors, Neural Networks and Memories II, pp. 298–308, San Diego, California, July 1994.
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• Miroslav Dukic and Jovan Zatkalik. Doppler mismatched filters with periodical sequences in spread spectrum communication systems . In International Symposium on Spread Spectrum Techniques and Applications, pp. 539–543, Oulu, Finland, July 1994.
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• Solomon Golomb and Oscar Moreno. On periodicity properties of Costas Arrays and a conjecture on permutation polynomials. In IEEE International Symposium on Information Theory, pp. 361, Trodheim, Norway, June 1994.
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• Svetislav Maric, Ivan Seskar, and Edward Titlebaum. On Cross-Ambiguity Properties of Welch-Costas Arrays When Applied in SS/FH Multiuser Radar and Sonar Systems. IEEE Transactions on Aerospace and Electronic Systems, 30(4):489–493, October 1994.
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• Sanjay Mehta and Edward Titlebaum. Optimum Costas-like decompositions of Costas arrays for channel characterization and communications. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 321–324, Adelaide, Australia, April 1994.
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• Hong Song and Solomon Golomb. Generalised Welch-Costas sequences and their application to Vatican arrays. In Finite fields: theory, applications and algorithms. 2nd international conference, 1994.
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• Curtis Brown, Michal Cenki, Richard Games, Joseph Rushanan, Oscar Moreno, and Pei Pei. New enumeration results for Costas arrays. In IEEE International Symposium on Information Theory, pp. 405, January 1993.
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• Oscar Moreno, Richard Games, and Herbert Taylor. Sonar sequences from Costas arrays and the best known sonar sequences with up to 100 symbols. IEEE Transactions on Information Theory, 39(6):1985–1987, November 1993.
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• Oscar Moreno. A shifting property of some Costas sequences. Ars Combinatoria, 33:157–160, June 1992.
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• Stephen Cohen and Gary Mullen. Primitive elements in finite fields and Costas arrays. Applicable Algebra in Engineering Communication Computing, 2(1):143–154, 1991.
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• David Drumheller and Edward Titlebaum. Cross-Correlation Properties of Algebraically Constructed Costas Arrays. IEEE Transactions on Aerospace and Electronic Systems, 27(1):2–10, January 1991.
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• Tuvi Etzion. Combinatorial designs derived from Costas arrays. Discrete Mathematics, 93(2--3):143–154, November 1991.
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• Fred Nathanson. Radar Design Principles (2nd edition), SciTech Publishing, 1991. Does not mention Costas arrays in the index. Refered to in the Levanon Radar Signals book.
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• Mao Le. On Golomb's conjecture. Journal of Combinational Theory Series A, 54(2):304–308, 1990.
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• Oscar Moreno and José Sotero. Computational approach to conjecture A of Golomb. In Congressus Numerantium, pp. 7–16, 1990.
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• Weita Chang and Kent Scarbrough. Costas Arrays with Small Number of Cross-Coincidences. IEEE Transactions on Aerospace and Electronic Systems, 25(1):109–112, January 1989.
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• Fan Chung, Jawad Salehi, and Victor Wei. Optical orthogonal codes: Design, analysis and applications. IEEE Transactions on Information Theory, 35(3):595–604, May 1989.
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• Fu Li. A theorem about a conjecture of Golomb's. Dongbei Shida Xuebao, pp. 9–12, 1989.
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• J. Silverman, V. Vickers, and James Mooney. On the Number of Costas arrays as a function of array size. In Proceedings of the IEEE, pp. 851–853, July 1988.
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• Avraham Freedman and Nadav Levanon. Any Two N x N Costas Arrays Must Have at Least One Common Ambiguity Sidelobe if N>3 - A Proof. In Proceedings of the IEEE, pp. 1530–1531, October 1985.
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Signal Processing

• Konstantinos Drakakis and Rod Gow. Two Experimental Pearls in Costas Arrays. In Proceedings of the 42nd Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2008.
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• Konstantinos Drakakis. Three challenges in Costas Arrays. Ars Combinatorica, 89:167–182, 2008.
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• Konstantinos Drakakis, John Healy, and Scott Rickard. A Stochastic analysis approach in the Search for Costas Arrays. International Journal of Applied Mathematics and Engineering Sciences, 2(1):73–88, January-June 2008.
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• Konstantinos Drakakis. Data Mining and Costas Arrays. Turkish Journal of Electrical Engineering & Computer Sciences, 15(1):67–76, March 2007.
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• Mark Sterling, Edward Titlebaum, Xiaoxiao Dong, and Mark Bocko. An adaptive spread-spectrum data hiding technique for digital audio. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Philadelphia, PA, USA, March 2005.
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• James Beard, Jon Russo, Keith Erickson, Michael Monteleone, and Mike Wright. Combinatoric Collaboration on Costas Arrays and Radar Applications. In IEEE Radar Conference, pp. 260–265, Philadelphia, Pennsylvania, USA, April 2004.
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• Solomon Golomb and Guang Gong. Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar, pp. 415–422, Cambridge University Press, 2004.
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• Nadav Levanon and Eli Mozeson. Radar Signals, pp. 74–99, Wiley-IEEE, 2004.
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• Mark Bocko. Data hiding in digital audio files. In IEEE Signal Processing Society, Rochester chapter, March 2003.
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• Darko Kirovski and Henrique Malvar. Spread-Spectrum Watermarking of Audio Signals. IEEE Transactions on Signal Processing, 51(4):1020–1033, April 2003.
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• Nadav Levanon and Mark Bell. Nullifying ACF grating lobes in stepped frequency train of LFM pulses. IEEE Transactions on Aerospace and Electronic Systems, 39(11):694–703, April 2003.
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• Eli Mozeson and Nadav Levanon. Removing autocorrelation sidelobes by overlaying orthogonal coding on any train of identical pulses. IEEE Transactions on Aerospace and Electronic Systems, 39(2):583–603, April 2003.
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• Phillip Pace. Detecting and Classifying Low Probability of Intercept Radar, pp. 173–177, Artech House, 2003.
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• Dennis Ward Ricker. Echo Signal Processing, pp. 252–259, Springer, 2003.
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• Jonathan Su and Bernd Guru. Power-spectrum condition for energy-efficient watermarking. IEEE Transactions on Multimedia, 4(4):551–560, 2002.
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• Lie-Liang Yang and Lajos Hanzo. Residue number system assisted fast frequency-hopped synchronous ultra-wideband spread-spectrum multiple-access: A design alternative to impulse radio. IEEE Journal on Selected Areas in Communications, 20(9):1652–1663, December 2002.
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• Solomon Golomb. Construction of signals with favourable correlation properties, pp. 159–194, Springer, 1999.
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• Oscar Moreno, Solomon Golomb, and Carlos Corrada. Extended sonar sequences. IEEE Transactions on Information Theory, 43(6):1999–2005, November 1997.
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• Aleksa Zejak, Igor Simic, and Miroslav Dukic. Frequency hopping mismatched filter for sonar and radar applications. In IEEE 4th International Symposium on Spread Spectrum Techniques and Applications Proceedings, pp. 877–881, Mainz, Germany, September 1996.
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• Carl Baum, Abdelghani Daraiseh, and Krishnan Ralakrishnan. Adaptive erasure generation for coded frequency-hop communications with partial-band interference and fading. In IEEE Military Communications Conference (MILCOM), Clemson,SC,USA, November 1995.
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• Svetislav Maric, Mark Hahm, and Edward Titlebaum. Construction and performance analysis of a new family of optical orthogonal codes for CDMA fiber-optic networks. IEEE Transactions on Communication Theory, 43(2-4 pt 1):485–489, February-apr 1995.
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• Tomas Novosad. Frequency hopping patterns based on finite geometry. In IEEE Military Communications Conference (MILCOM), pp. 325–329, San Diego, CA, USA, November 1995.
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• Tetsuo Mabuchi, Ryuji Kohno, and Hideki Imai. Multiuser detection scheme based on canceling cochannel interference for MFSK/FH-SSMA system. IEEE Journal on Selected Areas in Communications, 12(4):539–604, May 1994.
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• Jerome Bellegarda, Svetislav Maric, and Edward Titlebaum. The Hit Array - A Synthesis Tool for Multiple-access Frequency Hop Signals. IEEE Transactions on Aerospace and Electronic Systems, 29(3):624–635, July 1993.
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• Kyungwhoon Cheun and Wayne Stark. Optimal selection of Reed–Solomon code rate and the number of frequency slots in asynchronous FHSS-MA network. IEEE Transactions on Communications, 41(2):307–311, February 1993.
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• Scott Rickard. Large Sets of Frequency Hopped Waveforms with Nearly Ideal Orthogonality Properties. Master's Thesis, MIT,1993.
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• Edward Titlebaum. Frequency and time-hop coded signals for use in radar and sonar systems and multiple access communications systems. In Proceedings of the 27th Asilomar Conference on Signals, Systems and Computers, pp. 1096–1100, November 1993.
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• Svetislav Maric and Edward Titlebaum. A Class of Frequency Hopped Codes with Nearly Ideal Characteristics for use in Multiple-Access Spread-Spectrum Communications and Radar and Sonar Syatems. IEEE Transactions on Communication Theory, 40(9):1442–1446, September 1992.
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• Edward Titlebaum and Sanjay Mehta. Hit arrays: a tool for signal design for Wigner distribution functions for frequency hop codes. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 129–132, San Francisco, CA, March 1992.
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• Jerome Bellegarda and Edward Titlebaum. Amendment to `Time Frequency Hop Codes Based Upon Extended Quadratic Congruences'. IEEE Transactions Aerospace Electronic Systems, 27(1):167–172, January 1991.
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• Kyungwhoon Cheun and Wayne Stark. Probability of error in frequency-hop spread spectrum multiple-access communication systems with noncoherent reception. IEEE Transactions on Communications, 39(9):1400–1410, September 1991.
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• Wing Kwong, Philippe Perrier, and Paul Prucnal. Performance comparison of asynchronous and synchronous code division multiple-access techniques for fiber-optic local area networks. IEEE Transactions on Communications, 39(11):1625–1634, November 1991.
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• Sanjay Mehta and Edward Titlebaum. A new method for measurement of the target and channel scattering functions using Costas arrays and other frequency hop signals. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 1337–1340, Toronto, May 1991.
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• Jerome Bellegarda. Congruential Frequency Hop Signals for Multi-User Environments: A Comparative Analysis. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 2903–2906, Albuquerque, New Mexico, USA, 1990.
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• Manjunath Hegde and Wayne Stark. Capacity of Frequency-Hop Spread-Spectrum Multiple-Access Communication Systems. IEEE Transactions on Communications, 38(7):1050–1059, July 1990.
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• J.Baden and M. Cohen. Optimal peak sidelobe filters for biphase pulse compression . In IEEE International Radar Conference, pp. 249–252, Arlington, VA, USA, May 1990.
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• Jules Jaffe, Philippe Cassereau, and Donna Glassbrenner. Code Design and Performance Characterization for Code Multiplexed Imaging. IEEE Transactions on Acoustics, Speech, and Signal Processing, 38(8):1321–29, August 1990.
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• Jerome LeMieux and Franklin Ingels. Analysis of Frequency Shift Keying (FSK)/ Phase Shift Keying(PSK) modulated radar signals using Costas arrays and complementary Welti codes. In IEEE International Radar Conference, pp. 589–594, Arlington, VA, USA, May 1990.
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• Svetislav Maric and Edward Titlebaum. Frequency Hop Multiple Access Codes Based Upon the Theory of Cubic Congruences. IEEE Transactions on Aerospace and Electronic Systems, 26(6):1036–1039, November 1990.
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• Liam O'Carroll, D. Davies, C. Smyth, James Dripps, and P. Grant. A study of Auto- and Cross-Ambiguity Surface Performance for Discretely Coded Waveforms. IEE Proceedings, 137F(5):362–370, October 1990.
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• Edward Titlebaum and Svetislav Maric. Multiuser sonar properties for Costas array frequency hop coded signals. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 2727–2730, Albuquerque, New Mexico, USA, April 1990.
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• Patrick Donohoe and Franklin Ingels. Ambiguity function properties of frequency-hopped radar/sonar signals. In SOUTHEASTCON '89 Proceedings. Energy and Information Technologies in the Southeast, pp. 85–89, April 1989.
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• Sang Kim and Wayne Stark. Optimum rate Reed-Solomon coding for frequency-hopped spread-spectrum multiple-access channels. IEEE Transactions on Communications, 37(2):138–144, February 1989.
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• Jerome Bellegarda and Edward Titlebaum. Time-Frequency Hop Codes Based Upon Extended Quadratic Congruences. IEEE Transactions on Aerospace and Electronic Systems, 24(6):726–742, November 1988. Amendment to this paper published in 1991
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• Jules Jaffe, Donna Glassbrenner, and Philippe Cassereau. Incoherent coding techniques and performance characterization for multibeam sonar systems. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 2709–2712, Billerica,MA,USA, 1988.
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• B. Sklar. Digital Communications, pp. 447–448, Prentice-Hall, 1988.
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• Edward Titlebaum and Jerome Bellegarda. Auto and Cross-Ambiguity Bounds for Multiple Access Frequency Hop Codes Based on Costas Arrays. In Proceedings of the 22nd Annual Conference on Information Science Systems, pp. 813–814, March 1988.
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• Avraham Freedman and Nadav Levanon. Staggered Costas Signals. IEEE Transactions on Aerospace and Electronic Systems, 22(6):695–702, November 1986.
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• Timothy Healy. Coding and decoding for code division multiple user communication. IEEE Transactions on Communications, 33(4):310–316, April 1985.
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• Steven Kay and Faye Boudreaux-Bartels. On the Optimality of the Wigner Distribution for Detection. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 1017–1020, Tampa, Florida,USA, 1985.
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• John Robinson. Golomb rectangles. IEEE Transactions on Information Theory, 31(6):781–787, November 1985.
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• Kai-Bor Yu and Siuling Cheng. Signal Synthesis from Wigner Distribution. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 1037–1040, Tampa, Florida,USA, 1985.
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• John Costas. A Study of Detection Waveforms Having Nearly Ideal Range-Doppler Ambiguity Properties. In Proceedings of the IEEE, pp. 996–1009, August 1984.
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• Evaffelos Geraniotis and Michael Pursley. Error probabilities for slowfrequency-hopped spread-spectrum multiple-access communications over fading channels. IEEE Transactions on Communications, 30(5):996–1009, 1982.
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• Russell Mersereau and Thomas Seay. Multiple Access Frequency Hopping Patterns with Low Ambiguity. IEEE Transactions on Aerospace and Electronic Systems, AES-17(4):571–578, July 1981.
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• Edward Titlebaum. Time-Frequency Hop Signals Part I: Coding Based Upon the Theory of Linear Congruences. IEEE Transactions on Aerospace and Electronic Systems, AES-17(4):490–493, July 1981.
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• John Costas. Project Medior – A medium-oriented approach to sonar signal processing. Lockheed Martin Marine Systems and Sensors, 1966.
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• Mischa Schwartz, William Bennett, and Seymour Stein. Communication systems and techniques. In Communication systems and techniques, pp. 813–814, March 1966.
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• John Costas. Synchronous Communications. In Proceedings of the IEEE, December 1956. Republished in same journal in Vol 90, no. 8, August 2002 as classic paper
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Number Theory

• Konstantinos Drakakis. On the Hops Present in Costas Permutations. In The IMA International Conference on Mathematics in Signal Processing, Cirencester, December 2008.
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• Konstantinos Drakakis, Rod Gow, and Scott Rickard. Parity Properties of Costas Arrays Defined via Finite Fields. Advances in Mathematics of Communications, 1(3):323–332, August 2007.
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• Jong-Seon No, Hong-Yeop Song, and Tor Helleseth, editors. Pairs of m-sequences with a size-valued crosscorrelation, pp. 1–16, Springer, 2003.
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• Oscar Moreno, John Ramirez, Edusmildo Orozco, and Dorothy Bollman. Faster Backtracking Algorithms for the Generation of Symmetry-Invariant Permutations. Journal of Applied Mathematics, 2002.
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• Hong-Yeop Song and jun Lee. On (n,k)-sequences. Discrete Applied Mathematics, 105:183–192, 2000.
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• Man Siu. The combinatorics of binary arrays. Journal of statistical planning and inference, pp. 103–113, July 1997.
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• Herbert Taylor. The CRC Handbook of Combinatorial Designs, pp. 256–260, CRC Press, 1996.
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• Herbert Taylor. Costas arrays, pp. 256–260, CRC Press, 1996.
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• Solomon Golomb. The use of combinatorial structures in communication signal design. Applications of combinatorial mathematics, pp. 59–78, 1994.
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• Dieter Jungnickel. Finite fields. Structure and arithmetics. Bibliographisches Institute, 1993.
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• Paul Erdos, Ronald Graham, Imre Ruzsa, and Herbert Taylor. Bounds For Arrays of Dots with Distinct Slopes or Lengths. Combinatorica, 12:39–44, 1992.
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• Yan Chang and Qing Kang. A representation of nonzero elements in finite field. Science China Series A, 34(6):641–649, 1991.
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• Tuvi Etzion. Hamiltonian decomposition of K-N-Star, patterns with distinct differences, and Tuscan squares. Discrete mathematics, pp. 259–276, 1991.
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• F. Bennett, B. Du, and L. Zhu. On the existence of (v,7,1)-perfect Mendelsohn designs. Discrete Mathematics, pp. 221–239, 1990.
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• Tuvi Etzion, Solomon Golomb, and Herbert Taylor. Tuscan-K squares. Advancements in Applied Mathematics, pp. 164–174, 1989.
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• Oscar Moreno. On The Existence Of A Primitive Quadratic Of Trace-1 Over GF($p^m$). Journal Of Combinatorial Theory Series A, 51:104–110, May 1989.
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• Oscar Moreno. On the existence of a primitive quadrative of trace 1/GF. Journal of Combinational Theory Series A, pp. 104–110, 1989.
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• Solomon Golomb and E. Posner. Rook Domains, Latin Squares, Affine Planes and Error-Distributing Codes. IEEE Transactions on Information Theory, pp. 196–208, July 1964.
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• Irving Reed and Solomon Golomb. Polynomial codes over certain finite fields. Joint Society of Industrial and Applied Mathematics Journal, 8(2):300–304, June 1960.
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Other

• Konstantinos Drakakis. Costas Arrays and the Extension of Lambert's Function on Finite Fields. Applied Mathematical Sciences, 17(3):846–851, 2009.
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• Bill Correll. A Closed Form Expression for the Number of Costas Arrays of Arbitrary Order. In Conference Record of the 41st Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, November 2008.
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• Jim Devlin and Scott Rickard. Accelerated Costas Array Enumeration Using FPGAs. In Proceedings of the 42nd Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2008.
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• Konstantinos Drakakis, Rod Gow, and Scott Rickard. Distance Vectors in Costas Arrays. In Proceedings of the 42nd Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2008.
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• Konstantinos Drakakis, Scott Rickard, and Rod Gow. Interlaced Costas Arrays Do Not Exist. Mathematical Problems in Engineering, 2008.
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• James Beard. Generating Costas Arrays to Order 200. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Mark Bell and Chieh-Fu Chang. Frequency Coded Waveforms for Adaptive Waveform Radar. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Konstantinos Drakakis. Data mining and Costas arrays. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Svetislav Maric and Oscar Moreno. Using Costas Arrays to Construct Frequency Hop Patterns for OFDM Wireless Systems. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Oscar Moreno and Solomon Golomb. A New Optimal Double Periodical Construction of one Target Two-Dimensional Arrays. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Oscar Moreno, Reza Omrani, and Svetislav Maric. A New Construction of Multiple Target Sonar and Extended Costas Arrays with Perfect Correlation. In Proceedings of the 40th Annual Conference on Information Sciences and Systems, Princeton, NJ, USA, March 2006.
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• Wensong Chu and Charles Colbourn. Sequence Designs of Ultra-Wideband Impulse Radio With Optimal Co-relation Properties. IEEE Transactions on Information Theory, 50(10):2402–2408, October 2004.
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• Nadav Levanon and Eli Mozeson. Orthogonal Train of Modified Costas Pulses. Department of Electrical Engineering, Tel Aviv University, 2004.
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• Oscar Moreno, Daniel Ayala, Addis Pérez, and Francisco Revelles. Extended Costas Arrays, Quasi-Costas Arrays and Extended Quasi-Costas Arrays. 2002. Powerpoint presentation
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• Oscar Moreno, Solomon Golomb, and Svetislav Maric. Costas Sequences for Multiple Targets. In IEEE International Symposium on Information Theory (ISIT), pp. 242, Lausanne, Switzerland, June 2002.
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• Oscar Moreno and Svetislav Maric. A new family of frequency-hop codes. IEEE Transactions on Communications, 48(8):241, August 2000.
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• Moe Win and Robert Scholtz. Ultra-wide bandwidth time-hopping spread-spectrum impulse radio for wireless multiple-access communications. IEEE Transactions on Communications, 48(4):679–691, April 2000.
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• Brian Chen and Gregory Wornell. Achievable performance of digital watermarking systems. In IEEE International Conference on Multimedia Computing and Systems, pp. 13–18, Florence, Italy, 1999.
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• Oscar Moreno. Survey of Results on signal patterns for locating one or multiple patterns, pp. 353–369, Springer, 1999.
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• Roman Talyansky, Tuvi Etzion, and Ron Roth. Efficient code constructions for certain two-dimensional constraints. IEEE Transactions on Information Theory, 45(2):2173–2181, 1999.
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• Jin Goh and Svetislav Maric. The capacities of frequency-hopped code-division multiple-access channels. IEEE Transactions on Information Theory, May 1998.
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• Jiann-Ching Guey and Mark Bell. Diversity waveforms sets for delay-Doppler imaging. IEEE Transactions on Information Theory, pp. 1504–1522, July 1998.
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• Chris Heegard and Stephen Wicker. Turbo Coding, pp. 52–55, Springer, 1998.
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• Abdel-Ghani Daraiseh and Carl Baum. New results on the performance of linear block codes with type-I hybrid ARQ protocol. In IEEE Vehicular Technology Conference, pp. 1533–1537, Arizona,USA, 1997.
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• Abdel-Ghani Daraiseh and Carl Baum. Exact performance analysis of linear block codes in frequency-hop spread spectrum communication systems. IEEE Transactions on Information theory, 43(6):1993–1999, 1997.
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• Zoran Kostic, G. Pavlovic, and Edward Titlebaum. Cyclical coincidence arrays and exact PDFs representing interference for some CDMA systems. European Transactions on Telecommunications, 8(2):149–54, March-apr 1997.
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• Oscar Moreno, Svetislav Maric, and Carlos Corrada. A Class of frequency hop codes using only three frequencies. In IEEE International Symposium on Information Theory, pp. 127, Ulm, Germany, 1997.
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• Oscar Moreno and Svetislav Maric. A Class of Frequency Hop Codes with Nearly Ideal Characteristics for Multiple-target Recognition. In IEEE International Symposium on Information Theory (ISIT), Ulm, Germany, 1997.
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• Alexander Vardy, Mario Blaum, Paul Siegel, and Glenn Sincerbox. Conservative arrays:multidimensional modulation codes for holographic recording. IEEE Transactions on Information Theory, 42(1):227–230, January 1996.
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• Zhenghua Ye. Permutation polynomials over the residue class ring Z/(m) and Costas arrays. Natural Science Journal, Xiangtan Univ., 18(2), 1996.
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• Carl Baum and Michael Pursley. A decision-theoretic approach to the generation of side information in frequency-hop multiple-access communications. IEEE Transactions on Communications, 43(2,3,4):1768–1777, February 1995.
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• Chris Mitchell. Aperiodic and semi-periodic perfect maps. IEEE Transactions on Information Theory, 41(1):88–95, Jan 1995.
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• Guu-Chang Yang and Thomas Fuja. Optical Orthogonal Codes with unequal auto and cross-correlation constraints. IEEE Transactions on Information Theory, 41(1):96–106, Jan 1995.
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• Kenneth Paterson. Perfect maps. IEEE Transactions on Information Theory, 40(3):743–753, May 1994.
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• Dongdai Lin and Mulan Liu. Structure and properties of linear recurring m-arrays. IEEE Transactions on Information Theory, 39(5):1758–1762, September 1993.
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• Darel Linebarger and Ioannis Tollis. Difference bases and sparse sensor arrays. IEEE Transactions on Information Theory, 39(2):716–721, March 1993.
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• Svetislav Maric, Zoran Kostic, and Edward Titlebaum. A New Family of Optical Code Sequences for Use in Spread-Spectrum Fiber-optic Local Area Networks. IEEE Transactions on Communications, 41(8):1217–1221, August 1993.
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• Hong-Yeong Song, Irving Reed, and Solomon Golomb. On the nonperiodic cyclic equivalence classes of Reed-Solomon codes. IEEE Transactions on Information Theory, 39(4):1431–1434, 1993.
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• Zhen Zhang. A note on arrays of dots with distinct slopes. Combinatorica, 13:127–128, 1993.
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• Dan Ashlock. The Costas invariant on graphs. In Proceedings of the twenty-third Southeastern international conference on combinatorics, graph theory, and computing., Boca Ranton, FL, USA, February 1992.
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• Carl Baum and Michael Pursley. Bayesian methods for erasure insertion in frequency-hop communications with partial-band interference. IEEE Transactions on Communications, 40(7):1404–1406, July 1992.
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• Darel Linebarger. A fast method for computing the coarray of sparse linear arrays. IEEE Transactions on Antennas and Propagation, 40(9):1109–1112, September 1992.
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• Q. Nguyen, Laszlo Gyorfi, and James Massey. Constructions of binary constantweight cyclic codes and cyclically permutable codes. IEEE Transactions on Information Theory, 38(3):940–949, May 1992.
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• Tomas Novosad. Binary Sequences for CDMA Based on Finite Geometry. In IEEE Second International Symposium on Spread Spectrum Techniques and Applications, pp. 59–62, Yokohama, Japan, 1992.
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• Dennis Ricker. The Doppler sensitivity of large TW phase modulated waveforms. IEEE Transactions on Signal Processing, 40(10):2406–2413, 1992.
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• Guu-Chang Yang and T. Puja. Optical orthogonal codes with unequal auto- and cross-correlations constraints. In Conference on Information Sciences and Systems, pp. 86–90, Princeton, New Jersey, USA, 1992.
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• Jerome Bellegarda and Edward Titlebaum. The Hit Array: An Analysis Formalism for Multiple Access Frequency Hop Coding. IEEE Transactions on Aerospace and Electronic Systems, 27(1):30–39, January 1991.
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• Solomon Golomb. Radar Signal Patterns from Combinatorial Designs, pp. 1–39, Cambridge University Press, 1991.
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• Edward Titlebaum, Svetislav Maric, and Jerome Bellegarda. Ambiguity Properties of Quadratic Congruential Coding. IEEE Transactions Aerospace Electronic Systems, 27(1):18–29, January 1991.
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• Habing Chung and Vijay Kumar . Optical orthogonal codes - new bounds and an optimal construction. IEEE Transactions on Information Theory, 36(4):866–873, July 1990.
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• Alex Lam and Dilip Sarwate . Time-hopping and frequency-hopping multiple-access packet communications. IEEE Transactions on Communications, 38(6):875–888, June 1990.
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• David Pearson, Unnikrishna Pillai, and Youngjik Lee . An algorithm for near-optimal replacement of sensor elements. IEEE Transactions on Information Theory, 36(6):1280–1284, November 1990.
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• James Shearer. Some new optimum Golomb rulers. IEEE Transactions on Information Theory, 36(1):183–184, January 1990.
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• Sabah Alquaddoomi and Robert Scholtz. On the nonexistence of Barker arrays and related matters. IEEE Transactions on Information Theory, 35(5):1048–1057, September 1989.
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• Svetislav Maric, Edward Titlebaum, and Zoran Kostic. Address assignment for multiple-access systems based upon the theory of congruence equations. In Proceedings of the IEEE, GLOBECOM, pp. 283–287, 1989.
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• Frans Willems. Universal data compression and repetition times. IEEE Transactions on Information Theory, 35(1):54–58, January 1989.
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• Jules Jaffe and Philippe Cassereau. Multibeam Imaging using Spatially Variant Isonification. Journal of the Acoustical Society of America, 83(4):1458–1464, April 1988.
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• Vijay Kumar. On the existence of square dot-matrix patterns having a specific three-valued periodic correlation function.. IEEE Transactions on Information Theory, 34(2):271–277, March 1988.
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• R. Gagliardi, J. Robbins, and Herbert Taylor. “Acquisition sequences in PPM communications". IEEE Transactions on Communications, 33(5):738–744, September 1987.
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• Istvan Vajda and Goran Einarsson. Code acquisition for a frequency-hopping system. IEEE Transactions on Communications, 35(5):566–568, May 1987.
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• Philippe Cassereau and Jules Jaffe. Frequency Hopping Patterns for Simultaneous Multiple-Beam Sonar Imaging. In IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 1704–1707, April 1986.
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• Donald Knuth. Efficient balanced codes. IEEE Transactions on Communications, 32(1):51–53, January 1986.
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• Paul Prucnal, Mario Santaro, and Ting Fan. Spread spectrum fiber-optic local area network using optical processing. IEEE Journal of Lightwave Technology, 4(5):547–554, May 1986.
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• E. Vertatschitsch and S. Haykin. Nonredundant arrays. In Proceedings of the IEEE, 1986.
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• S. Ma. A Note on Binary Arrays with a Certain Window Property. IEEE Transactions on Information Theory, 30(5):774–775, September 1984.
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• Robert Scholtz and Llyod Welch. GMW sequences. IEEE Transactions on Information Theory, 30(3):548–553, May 1984.
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• Max Costa. Writing on Dirty Paper. IEEE Transactions on Information Theory, 29(3):439–441, May 1983.
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• Don Johnson. The application of spectral estimation methods to bearing estimation problems. In Proceedings of the IEEE, pp. 1018–1028, September 1982.
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• Oscar Moreno, Solomon Golomb, and Herbert Taylor. Two-dimensional synchronization patterns for minimum ambiguity. IEEE Transactions on Information Theory, 28:600–664, 1982.
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• John Olsen, Robert Scholtz, and Lloyd Welch. Bent-Function Sequences. IEEE Transactions on Information Theory, 28(6):858–864, 1982.
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• Harrison Rowe. Bounds on the number of signals with restricted crosscorrelation. IEEE Transactions on Communications, 30(5):966–974, 1982.
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• S. Lang, C. Duckworth, and I. McClellan. Array design for MEM and MLM array processing. In Proceedings of the IEEE, pp. 145–148, Atlanta, GA, USA, 1981.
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• U. Timor. Improved decoding scheme for frequency-hopped multilevel FSK system. Bell Systems Technical Journal, 59(10):1839–1855, December 1980.
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• Jacob Ziv and Abraham Lempel. Compression of individual sequences via variable rate coding. IEEE Transactions on Information Theory, pp. 530–536, September 1978.
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• Gary Bloom and Solomon Golomb. Applications of numbered undirected graphs. In Proceedings of the IEEE, pp. 562–570, 1977.
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• N. Mendelsohn. Perfect cyclic designs. Discrete Mathematics, 20:63–68, 1977.
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• Jessie Macwilliams and Neil Sloane. Pseudo-random sequences and arrays. In Proceedings of the IEEE, 1976.
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• Abraham Lempel and Haim Greenberger. Families of sequences with optimal Hamming correlation properties. IEEE Transactions on Information Theory, pp. 90–94, January 1974.
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• Russell Mersereau and Thomas Seay. The Design of Multiple Access Frequency Hopping Patterns. Lincoln Laboratory Technical Note 1974-32, September 1974.
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• Tamiya Nomura, Hiroshi Miyakawa, Hideki Imai, and Akira Fukuda. A theory of two-dimensional linear recurring arrays. IEEE Transactions on Information Theory, pp. 775–785, November 1972.
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• I. Reed and C. Wolverton. The systematic selection of cyclically equivalent codes. IEEE Transactions on Information Theory, pp. 304–307, March 1972.
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• Andrew Cohen, Jerrold Heller, and Andrew Viterbi. A new coding technique for asynchronous multiple access communication. IEEE Transactions on Communications, pp. 849–855, October 1971.
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• Thomas Gaarder. Scattering Function Estimation. IEEE Transactions on Information Theory, 14(5):684–693, September 1968.
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• Alan Moffet. Minimum-redundancy linear arrays. IEEE Transactions on Antennas and Propagation, 16(2):172–175, 1968.
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• Llyod Spafford. Optimum Radar Signal Processing in Clutter. IEEE Transactions on Information Theory, 14(5):734–743, September 1968.
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• Charles Stutt and Lloyd Spafford. A 'Best' Mismatched Filter Response for Radar Clutter Discrimination. IEEE Transactions on Information Theory, 14(2):280–287, March 1968.
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• W. Blau. Synthesis of ambiguity functions for prescribed responses. IEEE Transactions on Aerospace and Electronic Systems, 3:656–663, 1967.
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• John Robinson and Arthur Bernstein. A class of binary recurrent codes with limited error propagation. IEEE Transactions on Information Theory, 13(1):106–113, January 1967.
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• Basil Gordon. On the existence of perfect maps. IEEE Transactions on Information Theory, pp. 486–487, 1966.
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• E. Kelly and P. Wishner. Matched-filter theory for high-velocity, accelerating targets. IEEE Transactions on Military Electronics, pp. 56–69, January 1965.
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• Selmer Johnson. A new upper bound for error-correcting codes. IEEE Transactions on Information Theory, pp. 203–207, April 1962.
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• I.S. Reed and R.M. Stewart. Note on the existence of perfect maps.. IRE Transactions on Information Theory, pp. 10–12, January 1962.
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• R. Bose. An affine analogue of Singer’s theorem. Journal of the Indian Mathematical Society, 6:1–15, 1942.
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Unspecified

• Zheng Ye, Jian Ouyang, and Rong He. 53X53 Costas arrays. Natural Science Journal - Xiangtan Univ., 17(4):120–122, 1995.
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• John Costas. Medium constraints on sonar design and performance. Technical Report Class 1 Rep. R65EMH33, GE Co., 1965. a synopsis of this report appeared in the Eascon. Conv. Rec., 1975, pp. 68A--68L
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