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Paper: Automorphism group of the set of all bent functions

Authors:
Natalia Tokareva
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URL: http://eprint.iacr.org/2010/255
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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.
BibTeX
@misc{eprint-2010-23156,
  title={Automorphism group of the set of all bent functions},
  booktitle={IACR Eprint archive},
  keywords={foundations / bent function; automorphism; affine transform},
  url={http://eprint.iacr.org/2010/255},
  note={ tokareva@math.nsc.ru 14733 received 4 May 2010},
  author={Natalia Tokareva},
  year=2010
}