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Scott Rickard. Searching for Costas arrays using periodicity properties. In Institute of Mathematics and its Applications, 2004.
Costas arrays are permutation matrices with ideal auto-ambiguity properties; No two of the the N choose 2 line segments between pairs of 1’s in the matrix have the same slope and length. This paper presents a search technique based on the periodicity properties of the existing construction techniques which finds previously unknown Costas arrays for N = 29, N = 36, and N = 42. These are the first ’new’ Costas arrays to be determined in nearly 20 years, excepting those found by exhaustive search for N = 25.
@inproceedings{rickard04searching,
AUTHOR = {Scott Rickard},
TITLE = {Searching for Costas arrays using periodicity properties},
BOOKTITLE = IMA,
YEAR = 2004,
ABSTRACT = {Costas arrays are permutation matrices with ideal
auto-ambiguity properties; No two of the the {N}
choose 2 line segments between pairs of 1’s in the
matrix have the same slope and length. This paper
presents a search technique based on the periodicity
properties of the existing construction techniques
which finds previously unknown Costas arrays for
{N} = 29, {N} = 36, and {N} = 42. These are the first
’new’ Costas arrays to be determined in nearly 20
years, excepting those found by exhaustive search
for {N} = 25.},
bib2html_pubtype = {Conference Papers},
bib2html_rescat = {Generation Methods},
bib2html_dl_pdf = "http://www.costasarrays.org/costasrefs/rickard04searching.pdf",
}
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