Generalized almost perfect nonlinear binomials and trinomials over fields of prime-square order

DOI10.1016/j.ffa.2023.102185OpenAlexW4322716201MaRDI QIDQ2701055

Christof Beierle

Publication date: 27 April 2023

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

Full work available at URL: https://arxiv.org/abs/2207.04087

zbMATH Keywords

Mersenne primebinomialalgebraic degreetrinomialGAPN

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06) Boolean functions (06E30)

Cites Work

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• Almost perfect and planar functions
• Dimensional dual hyperovals associated with quadratic APN functions
• Three new classes of generalized almost perfect nonlinear power functions
• New generalized almost perfect nonlinear functions
• A generalization of APN functions for odd characteristic
• On monomial generalized almost perfect nonlinear functions
• A new class of generalized almost perfect nonlinear power function
• Monomial Generalized Almost Perfect Nonlinear Functions
• On Upper Bounds for Algebraic Degrees of APN Functions

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