An Algebraic Approach to Circulant Column Parity Mixers

ePrint Report: An Algebraic Approach to Circulant Column Parity Mixers

Robert Christian Subroto

Column Parity Mixers, or CPMs in short, are a particular type of linear maps, used as the mixing layer in permutation-based cryptographic primitives like Keccak-f (SHA3) and Xoodoo. Although being successfully applied, not much is known regarding their algebraic properties. They are limited to invertibility of CCPMs, and that the set of invertible CCPMs forms a group. A possible explanation is due to the complexity of describing …

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