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Modular sequences and modular Hadamard matrices

✍ Scribed by Shalom Eliahou; Michel Kervaire

Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 227 KB
Volume: 9
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.1007

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✦ Synopsis

Abstract

For every n divisible by 4, we construct a square matrix H of size n, with coefficients ± 1, such that H · H^t^ ≡ nI mod 32. This solves the 32‐modular version of the classical Hadamard conjecture. We also determine the set of lengths of 16‐modular Golay sequences. © 2001 John Wiley & Sons, Inc. J Combin Designs 9: 187–214, 2001

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