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• W2792143328 abstract "We provide a new property, called Non-Type-Preserving, for a mixing layer which guarantees protection against algebraic attacks based on the imprimitivity of the group generated by the round functions. Our main result is to present necessary and sufficient conditions on the structure of the binary matrix associated to the mixing layer, so that it has this property. Then we show how several families of linear maps are Non-Type-Preserving, including the mixing layers of AES, GOST and PRESENT. Finally we prove that the group generated by the round functions of an SPN cipher with addition modulo a power of 2 as key mixing function is primitive if its mixing layer satisfies this property. Moreover we generalise the definition of a GOST-like cipher using a Non-Type-Preserving matrix as mixing layer and we show, under the only assumption of invertibility of the S-Boxes, that the corresponding group is primitive." @default.
• W2792143328 created "2018-03-29" @default.
• W2792143328 creator A5030996302 @default.
• W2792143328 creator A5058540975 @default.
• W2792143328 date "2018-03-02" @default.
• W2792143328 modified "2023-09-27" @default.
• W2792143328 title "Type-Preserving Matrices and Security of Block Ciphers" @default.
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• W2792143328 hasPublicationYear "2018" @default.
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