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Planar functions and related group algebras

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Publication:1204418
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DOI10.1016/0021-8693(92)90092-ZzbMath0769.20010OpenAlexW1968578968MaRDI QIDQ1204418

Yutaka Hiramine

Publication date: 29 March 1993

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90092-z


zbMATH Keywords

groupsplanar functionsemi-field planes


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Reflection groups, reflection geometries (51F15)


Related Items (5)

The combinatorics of binary arrays ⋮ Divisible designs and semi-regular relative difference sets from additive Hadamard cocycles ⋮ Planar functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_n\) ⋮ Relative \((pn,p,pn,n)\)-difference sets with \(GCD(p,n)=1\) ⋮ Zero-difference balanced functions with applications




Cites Work

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  • On planar functions
  • Planes of order \(n\) with collineation groups of order \(n^ 2\)
  • On the existence of square dot-matrix patterns having a specific three-valued periodic-correlation function




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