Relative \((pn,p,pn,n)\)-difference sets with \(GCD(p,n)=1\)

DOI10.1007/s10801-008-0124-5zbMath1203.05021OpenAlexW2075068568MaRDI QIDQ1016144

Tao Feng

Publication date: 4 May 2009

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-008-0124-5

zbMATH Keywords

group ringrelative difference setsemi-regular relative difference set

Mathematics Subject Classification ID

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

Related Items (5)

On automorphism groups of divisible designs acting regularly on the set of point classes ⋮ On \((mn,n,mn,m)\) relative difference sets with \(\operatorname{gcd}(m,n)=1\) ⋮ On self-orthogonal group ring codes ⋮ On the nonexistence of semi-regular relative difference sets ⋮ Difference matrices related to Sophie Germain primes \(p\) using functions on the fields \(F_{2p+1}\)

Cites Work

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• Semi-regular relative difference sets with large forbidden subgroups
• Planar functions, relative difference sets, and character theory
• Planar functions and related group algebras
• On \((p^ a,p^ b,p^ a,p^{a-b})\)-relative difference sets
• New families of semi-regular relative difference sets
• Finite geometry and character theory
• Relative \((p^a, p^b, p^a, p^{a-b})\)-difference sets: A unified exponent bound and a local ring construction
• Planar functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_n\)
• Cyclic difference sets
• \(p\)-ary and \(q\)-ary versions of certain results about bent functions and resilient functions
• Constructions of semi-regular relative difference sets

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