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

J. A. Armario; D. L. Flannery

doi:10.1007/s10801-020-00971-2

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

J. A. Armario
, D. L. Flannery

Mathematics

University of Sevilla

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	15-25
Number of pages	11
Journal	Journal of Algebraic Combinatorics
Volume	55
Issue number	1
DOIs	https://doi.org/10.1007/s10801-020-00971-2
Publication status	Published - Feb 2022

Keywords

Array
Autocorrelation
Butson Hadamard matrix
Cocycle
EW matrix
Golay pairs
Merit factor
Quasi-orthogonal
Sequence

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10.1007/s10801-020-00971-2

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abstract = "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.",

keywords = "Array, Autocorrelation, Butson Hadamard matrix, Cocycle, EW matrix, Golay pairs, Merit factor, Quasi-orthogonal, Sequence",

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KW - Array

KW - Autocorrelation

KW - Butson Hadamard matrix

KW - Cocycle

KW - EW matrix

KW - Golay pairs

KW - Merit factor

KW - Quasi-orthogonal

KW - Sequence

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

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Keywords

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