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This work presents recent developments in hashing algorithm§design. Hashing is the process of creating a short digest§(i.e., 64 bits) for a message of arbitrary length, for exam-§ple 20 Mbytes. Hashing algorithms were first used for sear-§ching records in databases; they are central for digital si-§gnature applications and are used for authentication without§secrecy. Covering all practical and theoretical issues§related to the design of secure hashing algorithms the book§is self contained; it includes an extensive bibliography on§the topic.