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By Robshaw M. J.

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Instead of two-key triple encryption, Merkle and Hellman propose using three independent keys k1, k2 and k3 and encrypting a message block m by Ek1 (Dk2 (Ek3 (m))), denoted as the EDE3 mode. This still allows for backward compatibility since putting k1 = k2 = k3 makes the triple encryption 48 Block Ciphers equivalent to single encryption. There are still further open questions about triple encryption in general, such as how EEE compares to EDE? Does one compromise security for the sake of backward compatibility?

Chabaud and S. Vaudenay. Links between di erential and linear cryptanalysis. In Advances in Cryptology | Eurocrypt '94, Lecture Notes in Computer Science, Berlin. Springer-Verlag. To appear. [27] D. Chaum and J. Evertse. Cryptanalysis of DES with a reduced number of rounds, sequences of linear factors in block ciphers. C. Williams, editor, Advances in Cryptology | Crypto '85, volume 218 of Lecture Notes in Computer Science, pages 192{211, New York, 1986. Springer-Verlag. [28] D. Coppersmith. The real reason for Rivest's phenomenon.

4 Other modes Partly in response to the short-comings of DES in OFB mode, Brassard [20] mentions that Die has proposed an additional mode of use termed the counter mode. This di ers from the OFB mode of use in the way the input for the next encryption is determined; instead of taking some of the output from the previous encryption Die suggests encrypting the number i + IV (mod264 ) for the ith block where IV is some initialization value. Preneel [125] describes many other ways of introducing feedback to de ne new modes of use each having their own characteristics, their own advantages and their own shortcomings.

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