ON GOLAY SEQUENCES

被引：6
|
作者：
KOUNIAS, S
KOUKOUVINOS, C
SOTIRAKOGLOU, K
机构：
[1] Department of Mathematics, University of Thessaloniki, Thessaloniki
来源：
DISCRETE MATHEMATICS | 1991年 / 92卷 / 1-3期
关键词：
D O I：
10.1016/0012-365X(91)90279-B
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Golay sequences are two binary (+1, -1) sequences with nonperiodic autocorrelation function zero. These sequences have a wide range of applications in constructing orthogonal designs and Hadamard matrices, in coding theory, in multislit spectrometry and in surface acoustic wave devices. In this paper we develop an algorithm for constructing such sequences. We prove that Golay sequences of length n = 2 . 7(2t) do not exist and we give new proofs of some known results. In particular we show there are no Golay sequences of length 98. We conjecture that there are no Golay sequences of length 2 . q2t where q is not the sum of two integer squares.
引用
收藏
页码：177 / 185
页数：9
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