A sharp exponent bound for McFarland difference sets with \(p=2\)

DOI10.1006/jcta.1997.2808zbMath0883.05022OpenAlexW2093853472MaRDI QIDQ1374198

Bernhard Schmidt, Siu Lun Ma

Publication date: 23 February 1998

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

Full work available at URL: https://doi.org/10.1006/jcta.1997.2808

zbMATH Keywords

McFarland difference setsexistence for abelian difference sets

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Subgroups of abelian groups (20K27)

Related Items

Relative \((p^a, p^b, p^a, p^{a-b})\)-difference sets: A unified exponent bound and a local ring construction, On abelian \((2^{2m+1}(2^{m - 1}+1),2^{m}(2^{m}+1),2^{m})\)-difference sets, Nonexistence results on Chen and Davis-Jedwab difference sets

Cites Work

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• Nonexistence results on Chen and Davis-Jedwab difference sets
• Difference sets in abelian groups of \(p\)-rank two
• The structure of the abelian groups containing McFarland difference sets
• Character sums and difference sets
• A family of difference sets in non-cyclic groups