A generalization of APN functions for odd characteristic

DOI10.1016/j.ffa.2017.05.001zbMath1409.94888arXiv1612.00580OpenAlexW3104021212MaRDI QIDQ2401957

Masamichi Kuroda, Shuhei Tsujie

Publication date: 5 September 2017

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

Full work available at URL: https://arxiv.org/abs/1612.00580

zbMATH Keywords

finite fieldAPN functionalgebraic degreeGold functiondual arcEA-equivalent

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Combinatorial aspects of finite geometries (05B25)

Related Items (6)

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 ⋮ Monomial Generalized Almost Perfect Nonlinear Functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dimensional dual hyperovals associated with quadratic APN functions
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• APN functions in odd characteristic
• Codes, graphs, and schemes from nonlinear functions
• Handbook of Finite Fields
• New classes of almost bent and almost perfect nonlinear polynomials
• On Almost Perfect Nonlinear Functions Over$mmb F_2^n$
• New families of almost perfect nonlinear power mappings
• On Almost Perfect Nonlinear Permutations
• Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)

This page was built for publication: A generalization of APN functions for odd characteristic