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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.
A construction of perfect maps, Le., periodic r X u binary arrays in which each n X m binary matrix appears exactly once, is given. A similar construction leads to arrays in which only the zero n X m matrix does not appear and to a construction in which only a few n X m binary matrices do not appear. A generalization to the nonbinary case is also given. The constructions involve an interesting problem in shift register theory. We give the solution for almost all the cases of this problem.
@ARTICLE{etzion88constructions,
AUTHOR = "Tuvi Etzion",
TITLE = "Constructions for perfect maps and pseudo-random arrays",
JOURNAL = "IEEE Transactions on Information Theory",
VOLUME = 34,
NUMBER = 5,
PAGES = {1308--1316},
MONTH = Sep,
YEAR = 1988,
ABSTRACT = {A construction of perfect maps, Le., periodic r X u binary
arrays in which each n X m binary matrix appears exactly once, is given. A
similar construction leads to arrays in which only the zero n X m matrix
does not appear and to a construction in which only a few n X m binary
matrices do not appear. A generalization to the nonbinary case is also
given. The constructions involve an interesting problem in shift register
theory. We give the solution for almost all the cases of this problem.},
bib2html_pubtype = {Conference Papers},
bib2html_rescat = {Generation Methods},
bib2html_dl_pdf ="http://www.costasarrays.org/costasrefs/etzion88constructions.pdf",
}
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