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.
Cite
@article{arxiv.math/0506420,
title = {A new APN function which is not equivalent to a power mapping},
author = {Yves Edel and Gohar Kyureghyan and Alexander Pott},
journal= {arXiv preprint arXiv:math/0506420},
year = {2016}
}
Comments
to appear in IEEE Transactions on Information Theory