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  3. Information Processing Systems
  4. 6(104)'2012
  5. Vectorial boolean functions application in substitutions generation for symmetric cryptographic transformation

Vectorial boolean functions application in substitutions generation for symmetric cryptographic transformation

A.V. Kazimirov, R.V. Olejnikov
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The descriptions of the vectorial Boolean functions as well as criteria for substitutions and a new method for S-box generation for the cipher GOST 28147-89 with optimal computational complexity are given. The method provides substitutions that belong to different affine classes, with nonlinearity 4, minimum degree 3, 4-uniform and without fixed points.
Keywords: vectorial Boolean functions, substitutions, block ciphers, GOST 28147-89