Rotation symmetry in algebraically generated cryptographic substitution tables

Vincent Rijmen,Paulo S. L. M. Barreto,Décio L. Gazzoni Filho

Information Processing Letters（2008）

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摘要

Using some elementary properties of normal bases, we are able to show that bijective substitution tables generated from power maps or exponentiations over finite fields are linear equivalent to rotation-symmetric S-boxes. In the other direction, we show that rotation-symmetric S-boxes can always be described as a sum of power maps over finite fields.

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关键词

bijective substitution table,cryptographic substitution table,elementary property,finite field,rotation symmetry,normal base,rotation-symmetric s-boxes,power map,linear equivalent,s box,cryptography,sums of powers

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