A new APN function which is not equivalent to a power mapping

Abstract

A new almost perfect nonlinear function (APN) on the finite field GF(2^10) which is not equivalent to any of the previously known APN mappings is constructed. This is the first example of an APN mapping which is not equivalent to a power mapping.

to appear in IEEE Transactions on Information Theory

Cited by in corpus (17)

• On the c-differential uniformity of certain maps over finite fields
• New Instances of Quadratic APN Functions
• Non-Boolean almost perfect nonlinear functions on non-Abelian groups
• Functions of degree 4e that are not APN infinitely often
• Linearly Self-Equivalent APN Permutations in Small Dimension
• An Infinite Family of Quadratic Quadrinomial APN Functions
• A Few More Quadratic APN Functions
• Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials
• Polynomial functions of degree 20 which are APN infinitely often
• The number of almost perfect nonlinear functions grows exponentially
• A new large class of functions not APN infinitely often
• Two characterizations of crooked functions
• Bounds on the degree of APN polynomials The Case of $x^{-1}+g(x)$
• On the Fourier Spectra of the Infinite Families of Quadratic APN Functions
• Fourier Spectra of Binomial APN Functions
• Self-embeddings of Hamming Steiner triple systems of small order and APN permutations
• On Some Properties of Quadratic APN Functions of a Special Form