Three new classes of generalized almost perfect nonlinear power functions

DOI10.1016/j.ffa.2018.06.011zbMath1423.94119OpenAlexW2884252953MaRDI QIDQ1654506

Zhengbang Zha, Zhizheng Zhang, Lei Hu

Publication date: 8 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.06.011

zbMATH Keywords

almost perfect nonlinear functiondifferential uniformityalgebraic degree

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60)

Related Items (6)

On monomial generalized almost perfect nonlinear functions ⋮ A new class of generalized almost perfect nonlinear power function ⋮ Further constructions and characterizations of generalized almost perfect nonlinear functions ⋮ A new class of generalized almost perfect nonlinear monomial functions ⋮ Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order ⋮ New generalized almost perfect nonlinear functions

Cites Work

• The weight distribution of a class of \(p\)-ary cyclic codes
• A triple-error-correcting cyclic code from the Gold and Kasami-Welch APN power functions
• A few more quadratic APN functions
• Reversed Dickson polynomials over finite fields
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• APN functions in odd characteristic
• CCZ equivalence of power functions
• On Almost Perfect Nonlinear Functions Over$mmb F_2^n$
• Two Classes of Quadratic APN Binomials Inequivalent to Power Functions
• New families of almost perfect nonlinear power mappings
• Monomial Generalized Almost Perfect Nonlinear Functions
• Unnamed Item

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