On the Security of Nested SPN Cipher against the Differential and Linear Cryptanalysis(Special Section on Cryptography and Information Security)

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概要

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• We extend the theorem by Hong et al. which gives the upper bounds of the maximum average differential and linear hull probabilities (MADP and MALHP) for SPN block cipher with optimal or quasi-optimal diffusion layers, to the case of nested SPN (NSPN) cipher. Applying the extended theorem to two NSPN ciphers, Hierocrypt-3 of 128-bit block and Hierocrypt-L1 of 64-bit block, we estimated that MADP and MALHP for 2-round Hierocrypt-3 are bounded by 2^-96, and that those for 2-round Hierocrypt-L1 are bounded by 2^-48. The extended theorem is also applied to AES, and found that MADP and MALHP are bounded by 2^-96 for its 4-round reduced model. The last result outperforms the best previous result 2^-92 for 10-round by Keliher et al.

• 社団法人電子情報通信学会の論文
• 2003-01-01

著者

• SHIMIZU Hideo

  Toshiba Corporation

• KAWAMURA Shinichi

  Toshiba Corporation

• Sano Fumihiko

  Toshiba Si Technology Center:yokohama National University

• Ohkuma Kenji

  Toshiba Corporate R & D Center

• Kawamura Shinichi

  Toshiba Corporate R & D Center

• Shimizu Hideo

  Toshiba Corporate R & D Center

関連論文

• BS-CPA: Built-In Determined Sub-Key Correlation Power Analysis
• Toward the Fair Anonymous Signatures : Deniable Ring Signatures(Signatures,Cryptography and Information Security)
• On the Security of Nested SPN Cipher against the Differential and Linear Cryptanalysis(Special Section on Cryptography and Information Security)
• Provably Secure Multisignatures in Formal Security Model and Their Optimality
• BS-CPA : Built-In Determined Sub-Key Correlation Power Analysis

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