The anti-field-descent method

DOI10.1016/j.jcta.2015.11.005zbMath1328.05030OpenAlexW2190682929MaRDI QIDQ899493

Bernhard Schmidt, Ka Hin Leung

Publication date: 28 December 2015

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2015.11.005

zbMATH Keywords

circulant Hadamard matricesBarker sequencescyclotomic integers

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

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Cites Work

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• New restrictions on possible orders of circulant Hadamard matrices
• A new restriction on the lengths of Golay complementary sequences
• Necessary conditions for Menon difference sets
• Characters and cyclotomic fields in finite geometry
• The field descent method
• Character sums and difference sets
• Cyclotomic integers and finite geometry
• Wieferich pairs and Barker sequences, II
• On a conjecture of R.M. Robinson about sums of roots of unity.
• On Binary Sequences