Planar functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_n\)

DOI10.1006/jabr.1999.8071zbMath0966.05008OpenAlexW2055567020MaRDI QIDQ1975156

Victor Tan, Ka Hin Leung, Siu Lun Ma

Publication date: 20 November 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8071

zbMATH Keywords

difference setsplanar function

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (6)

On \((mn,n,mn,m)\) relative difference sets with \(\operatorname{gcd}(m,n)=1\) ⋮ Divisible designs and semi-regular relative difference sets from additive Hadamard cocycles ⋮ The shift action on 2-cocycles. ⋮ Relative \((pn,p,pn,n)\)-difference sets with \(GCD(p,n)=1\) ⋮ Zero-difference balanced functions with applications ⋮ On the nonexistence of semi-regular relative difference sets

Cites Work

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• Planar functions, relative difference sets, and character theory
• Planar functions and related group algebras
• On a paper of Dembrowski and Ostrom
• On a class of almost perfect sequences
• Finite geometry and character theory
• On the existence of square dot-matrix patterns having a specific three-valued periodic-correlation function

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