Paper 2010/255 Original: eprint.iacr.org/2010/255 ↗
Automorphism group of the set of all bent functions
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.
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2010-05-04: last updated
- 2010-05-04: published
- Short URL
- https://ia.cr/2010/255
- License
- https://creativecommons.org/licenses/by/4.0/
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},
url = {https://eprint.iacr.org/2010/255}
}