On Almost Perfect Nonlinear Functions Over$mmb F_2^n$

Pierre Berger, Thierry; Canteaut, Anne; Charpin, Pascale; Laigle-Chapuy, Yann

doi:10.1109/tit.2006.880036

Public

On Almost Perfect Nonlinear Functions Over$mmb F_2^n$

Shared by NobleBlocks on Aug 29, 2006 • 12:00 AM UTC

Authors:

Thierry Pierre Berger

Anne Canteaut

Pascale Charpin

Abstract

We investigate some open problems on almost perfect nonlinear (APN) functions over a finite field of characteristic $2$ . We provide new characterizations of APN functions and of APN permutations by means of their component functions. We generalize some results of Nyberg (1994) and strengthen a conj...

Subject

Conjecture

Quadratic equation

Nonlinear system

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