Characterizations of bent and almost bent function on \({\mathbb{Z}}_p^2\)

DOI10.1007/s00373-010-0980-3zbMath1262.11081OpenAlexW2043217677MaRDI QIDQ659720

Xiyong Zhang, Hua Guo, Zong Sheng Gao

Publication date: 24 January 2012

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-010-0980-3

zbMATH Keywords

Gauss sumbent functionrelative difference setalmost-bent function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Orthogonal arrays, Latin squares, Room squares (05B15) Gauss and Kloosterman sums; generalizations (11L05)

Cites Work

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• Near bent functions on a hyperplane
• Polynomial addition sets and polynomial digraphs
• Nonlinear functions in abelian groups and relative difference sets.
• Linearized polynomials and permutation polynomials of finite fields
• Relative difference sets, planar functions, and generalized Hadamard matrices
• \(p\)-ary and \(q\)-ary versions of certain results about bent functions and resilient functions
• On perfect nonlinear functions