Pseudorandomness and Maximum Average of Dierential Probability of Block Ciphers with Spn-structures like E2

نویسندگان

  • Makoto Sugita
  • Kazukuni Kobara
  • Hideki Imai
چکیده

This paper introduces a new estimation method of Luby-Racko 's pseudorandomness and maximum average of di erential probability of block ciphers with SPN(Substitution and Permutation Network)structures like E2. In this paper, we analyze the pseudorandomness of the SPN-structure and E2-like transformations and show that this can be easily calculated by simple matrix calculation, and clarify that the linear transformation used in E2 o ers good pseudorandomness. Moreover, we examine the maximum average of the di erential probability of the SPN-structure. We show that this can be calculated recursively by a novel calculation method and con rm that the linear transformation used in E2 o ers good immunity for di erential attacks when used in the 4-round SPN-structure. keywords. E2, E2-like transformation, SPN-structure, maximum average of di erential probability, pseudorandomness

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تاریخ انتشار 1999