Title :
A new APN function which is not equivalent to a power mapping
Author :
Edel, Yves ; Kyureghyan, Gohar ; Pott, Alexander
Author_Institution :
Mathematisches Inst., Univ. Heidelberg, Germany
Abstract :
A new almost-perfect nonlinear function (APN) on F(210) 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.
Keywords :
Walsh functions; cryptography; nonlinear functions; transforms; APN function; almost-perfect nonlinear function; finite field; power mapping; Additives; Algebra; Boolean functions; Cryptography; Discrete Fourier transforms; Fourier transforms; Galois fields; Geometry; Linearity; Vectors; Almost-perfect nonlinear (APN) function; Boolean function; finite field;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.862128
