Cryptology ePrint Archive: Report 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.

Category / Keywords: foundations / bent function; automorphism; affine transform

Date: received 4 May 2010

Contact author: tokareva at math nsc ru

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Version: 20100504:144915 (All versions of this report)

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