Rotation symmetry in algebraically generated cryptographic substitution tables
Information Processing Letters（2008）
Abstract
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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Key words
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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