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LINEAR PROVABLE SECURITY FOR A CLASS OF UNBALANCED FEISTEL NETWORK 被引量:3

LINEAR PROVABLE SECURITY FOR A CLASS OF UNBALANCED FEISTEL NETWORK
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摘要 A structure iterated by the unbalanced Feistel networks is introduced. It is showed that this structure is provable resistant against linear attack. The main result of this paper is that the upper bound of r-round (r≥2m) linear hull probabilities are bounded by q^2 when around function F is bijective and the maximal linear hull probabilities of round function F is q. Application of this structure to block cipher designs brings out the provable security against linear attack with the upper bounds of probabilities. A structure iterated by the unbalanced Feistel networks is introduced. It is showed that this structure is provable resistant against linear attack. The main result of this paper is that the upper bound of r-round (r≥2m) linear hull probabilities are bounded by q^2 when around function F is bijective and the maximal linear hull probabilities of round function F is q. Application of this structure to block cipher designs brings out the provable security against linear attack with the upper bounds of probabilities.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2005年第4期401-406,共6页 高校应用数学学报(英文版)(B辑)
基金 Supported by the fund of National Laboratory for Modern Communications (5143603ZDS0601),the outstanding youth science foundation of Henan (0312001800).
关键词 unbalanced Feistel networks provable security against linear attack linear hull probabilities upper bound. unbalanced Feistel networks, provable security against linear attack, linear hull probabilities ,upper bound.
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  • 1M Matsui, Linear cryptanalysis method for DES ciper, Advances in Cryptology-Eurocrypt'93,Berlin: Springer- Verlag, 1993, 386-397.
  • 2M Kanda, Y Takashima, T Matsumoto, A strategy for constructing fast round function with practical security against differential and linear cryptanalysis, Selected Areas in Cryptography,Lecture Notes of Computer Science 1556, Springer-Verlag, 1999, 264-279.
  • 3M Kanda, Practical security evaluation against differential and linear attacks for Feistel ciphers with SPN round function, Selected Areas in Cryptography, Lecture Notes of Computer Science 2012, Springer-Verlag, 2000, 324-338.

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