Quasi-orthogonal cocycles, optimal sequences and a conjecture of Littlewood

被引：0
|
作者：
Armario, J. A. [1 ]
Flannery, D. L. [2 ]
机构：
[1] Univ Seville, Dept Matemat Aplicada 1, Avda Reina Mercedes S-N, Seville 41012, Spain
[2] Natl Univ Ireland Galway, Sch Math Stat & Appl Math, Galway H91 TK33, Ireland
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2022年 / 55卷 / 01期
关键词：
Cocycle; Quasi-orthogonal; Sequence; Array; Autocorrelation; Merit factor; Golay pairs; Butson Hadamard matrix; EW matrix; DIFFERENCE SETS; BINARY;
D O I：
10.1007/s10801-020-00971-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A quasi-orthogonal cocycle, defined over a group of order congruent to 2 modulo 4, is naturally analogous to an orthogonal cocycle (i.e., one defined over a group of order divisible by 4, and whose display matrix is Hadamard). Here we extend the theory of quasi-orthogonal cocycles in new directions, using equivalences with various optimal binary and quaternary sequences.
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页码：15 / 25
页数：11
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