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In this paper attacks on double block length hash functions using a block cipher are considered. We present attacks on all double block length hash functions of hash rate 1, that is, hash functions where in each round the block cipher is used twice, s.t. one encryption is needed per message block. In particular, our attacks break the Parallel-DM presented at Crypto'93[3].

New attacks on all double block length hash functions of hash rate 1, including the Parallel-DM