On non-pseudorandomness from block ciphers with provable immunity against linear cryptanalysis

Weakness of a block cipher, which has provable immunity against linear cryptanalysis, is investigated. To this end, the round transformation used in MISTY, which is a data encryption algorithm recently proposed by M. Matsui from Mitsubishi Electric Corporation, is compared to the round transformation of DES from the point of view of pseudorandom generation. An important property of the MISTY cipher is that, in terms of theoretically provable resistance against linear and differential cryptanalysis, which are the most powerful cryptanalytic attacks known to date, it is more robust than the Data Encryption Standard or DES. This property can be attributed to the application of a new round transform in the MISTY cipher, which is obtained by changing the location of the basic round-function in a transform used in DES. Cryptographic roles of the transform used in the MISTY cipher are the main focus of this paper. Our research reveals that when used for constructing pseudorandom permutati..