Automorphism group of the set of all bent functions

Natalia Tokareva

Abstract

Boolean function in even number of variables is called {\it bent} if it is at the maximal possible Hamming distance from the class of all affine Boolean functions. We have proven that every isometric mapping of the set of all Boolean functions into itself that transforms bent functions into bent functions is a combination of an affine transform of coordinates and an affine shift.

Available format(s)
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
bent functionautomorphismaffine transform
Contact author(s)
tokareva @ math nsc ru
History
Short URL
https://ia.cr/2010/255

CC BY

BibTeX

@misc{cryptoeprint:2010/255,
author = {Natalia Tokareva},
title = {Automorphism group of the set of all bent functions},
howpublished = {Cryptology ePrint Archive, Paper 2010/255},
year = {2010},
note = {\url{https://eprint.iacr.org/2010/255}},
url = {https://eprint.iacr.org/2010/255}
}

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