### Addendum to On the Generalized Linear Equivalence of Functions over Finite Fields''

Marco Macchetti

##### Abstract

In this paper we discuss the example of APN permutation introduced in the paper On the Generalized Linear Equivalence of Functions over Finite Fields'', presented at Asiacrypt 2004. We show that the permutation given there is indeed classically linearly equivalent to a power monomial. More in general, we show that no new class of APN functions can be discovered starting from permutation polynomials of the type used in the paper, and applied on the APN monomial $x^3$.

Note: In this revised addendum we withdraw one claim of the original paper.

Available format(s)
Category
Foundations
Publication info
Published elsewhere. Not published elsewhere
Keywords
boolean functionsAPN functions
Contact author(s)
macchett @ elet polimi it
History
2005-05-10: revised
See all versions
Short URL
https://ia.cr/2004/347

CC BY

BibTeX

@misc{cryptoeprint:2004/347,
author = {Marco Macchetti},
title = {Addendum to On the Generalized Linear Equivalence of Functions over Finite Fields''},
howpublished = {Cryptology ePrint Archive, Paper 2004/347},
year = {2004},
note = {\url{https://eprint.iacr.org/2004/347}},
url = {https://eprint.iacr.org/2004/347}
}

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