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Linear-Differential Cryptanalysis for SPN Cipher Structure and AES

Linear-Differential Cryptanalysis for SPN Cipher Structure and AES
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摘要 A new attack on block ciphers is introduced, which is termed linear-differential cryptanalysis. It bases the combining of linear cryptanalysis and differential cryptanalysis, and works by using linear-differential probability (LDP). Moreover, we present a new method for upper bounding the maximum linear-differential probability (MLDP) for 2 rounds of substitution permutation network (SPN) cipher structure. When our result applies to 2-round advanced encryption standard(AES), It is shown that the upper bound of MLDP is up to 1.68×2^-19, which extends the known results for the 2-round SPN. Furthermore, when using a recursive technique, we obtain that the MLDP for 4 rounds of AES is bounded by 2^-73. A new attack on block ciphers is introduced, which is termed linear-differential cryptanalysis. It bases the combining of linear cryptanalysis and differential cryptanalysis, and works by using linear-differential probability (LDP). Moreover, we present a new method for upper bounding the maximum linear-differential probability (MLDP) for 2 rounds of substitution permutation network (SPN) cipher structure. When our result applies to 2-round advanced encryption standard(AES), It is shown that the upper bound of MLDP is up to 1.68×2^-19, which extends the known results for the 2-round SPN. Furthermore, when using a recursive technique, we obtain that the MLDP for 4 rounds of AES is bounded by 2^-73.
出处 《Wuhan University Journal of Natural Sciences》 CAS 2007年第1期37-40,共4页 武汉大学学报(自然科学英文版)
基金 Supported by the National Natural Science Foun-dation of China(60503010) and the Foundation of National Laboratory for Modern communications(51436030105DZ0105)
关键词 linear-differential cryptanalysis substitution permutation network advanced encryption standard (AES). linear-differential cryptanalysis substitution permutation network advanced encryption standard (AES).
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参考文献5

  • 1Shannon C E.Communication Theory of Secrecy System[].The Bell System Technical Journal.1949
  • 2Spark S,,Sung H,,Lee S.Improving the Upper Bound on the Maximum Differential and Maximum Linear Hull Probabil- ity for SPN Structures and AES[].Fast Software Encryp- tion—FSE Lecture Notes in Computer Science.2003
  • 3Daemen J.FIPS 197, The Advanced Encryption Standard (AES)[].Federal information processing standard.2001
  • 4Chun K,,Kim S,,Lee S, et al.Differential and Linear Crypt- analysis for 2-Round SPNs[].Information Processing Let- ter.2003
  • 5Kang J,,Hong S,,Lee S.Practical and Provable Security Against Differential and Linear Cryptanalysis for Substitu- tion-Permutation Networks[].ETRI Journal.2001

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