Menon–Hadamard Difference Sets Obtained from a Local Field by Natural Projections

DOI10.1007/978-3-319-17729-8_20zbMath1329.05034OpenAlexW2338682967MaRDI QIDQ3466764

Mieko Yamada

Publication date: 25 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17729-8_20

zbMATH Keywords

Galois ringlocal fieldformal groupMenon-Hadamard difference set\(p\)-adic logarithm function

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Cites Work

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• Constructions of partial difference sets and relative difference sets using Galois rings
• Proof of a conjecture on Hadamard 2-groups
• A survey of partial difference sets
• \(p\)-adic numbers: An introduction.
• Constructions of nested partial difference sets with Galois rings
• Modular and \(p\)-adic cyclic codes
• Difference sets over Galois rings with odd extension degrees and characteristic an even power of 2
• Constructions of partial difference sets and relative difference sets using Galois rings. II
• New partial difference sets in \(\mathbb{Z}_{p^2}^t\) and a related problem about Galois rings
• A convolutional-like approach to \(p\)-adic codes

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