Automorphism group of the set of all bent functions

Natalia Tokareva

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Paper 2010/255

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.

Metadata

Available format(s): PDF PS
Category: Foundations
Publication info: Published elsewhere. Unknown where it was published
Keywords: bent function automorphism affine transform
Contact author(s): tokareva @ math nsc ru
History: 2010-05-04: received
Short URL: https://ia.cr/2010/255
License: 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}
}