Analysis on security of a class of unbalanced Feistel ciphers
Wang Nian-ping
Abstract
Wang Nian-ping
Abstract
To evaluate the security of a class of unbalanced Feistel cipherst,he security analysis against differential and lin-ear attacks is investigated deeply using enumeration method.If the round function is bijectivet,hen the number of active round function for 3,4,6,8,10,2r(r≥3)-round ciphers is not less than 1,1,3,4,5r,respectively.So the upper bounds of maxi-mum differential and linear characteristic probabilities for 2r(r≥3)-round ciphers are pr and qr respectively if maximum differ-ential and liner approximation probabilities for round function are p and q.
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To evaluate the security of a class of unbalanced Feistel cipherst,he security analysis against differential and lin-ear attacks is investigated deeply using enumeration method.If the round function is bijectivet,hen the number of active round function for 3,4,6,8,10,2r(r≥3)-round ciphers is not less than 1,1,3,4,5r,respectively.So the upper bounds of maxi-mum differential and linear characteristic probabilities for 2r(r≥3)-round ciphers are pr and qr respectively if maximum differ-ential and liner approximation probabilities for round function are p and q.
Key concepts: Mathematics, Enumeration, Class (philosophy), Differential (mechanical device), Block cipher, Linear cryptanalysis, Function (biology), Combinatorics