Relative \((p^a, p^b, p^a, p^{a-b})\)-difference sets: A unified exponent bound and a local ring construction

DOI10.1006/ffta.1999.0254zbMath0947.05011OpenAlexW2474927973MaRDI QIDQ1971062

Bernhard Schmidt, Siu Lun Ma

Publication date: 22 June 2000

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1999.0254

zbMATH Keywords

exponentrelative difference setslocal principal ideal rings

Mathematics Subject Classification ID

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

Related Items (5)

On \((mn,n,mn,m)\) relative difference sets with \(\operatorname{gcd}(m,n)=1\) ⋮ Proof of a conjecture on semiregular relative difference sets in \(\mathbb {Z}_{p^2} \times \mathbb {Z}_{p^2}\) ⋮ Relative \((pn,p,pn,n)\)-difference sets with \(GCD(p,n)=1\) ⋮ On the nonexistence of semi-regular relative difference sets ⋮ On the groups of units of finite commutative chain rings.

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