The most common way of constructing a hash function (e.g., SHA-1) is to iterate a compression function on the input message, The compression function is usually designed from scratch or made out of a block-cipher. In this paper, we introduce a new security notion for hash-functions, stronger than collision-resistance. Under this notion, the arbitrary length hash function H must behave as a random oracle when the fixed-length building block is viewed as a random oracle or an ideal block-cipher. The key property is that if a particular construction meets this definition, then any cryptosystem proven secure assuming H is a random oracle remains secure if one plugs in this construction (still assuming that the underlying fixed-length primitive is ideal). In this paper, we show that the current design principle behind hash functions such as SHA-1 and MD5 - the (strengthened) Merkle-Damgård transformation - does not satisfy this security notion. We provide several constructions that provably satisfy this notion; those new constructions introduce minimal changes to the plain Merkle-Damgård construction and are easily implementable in practice. © International Association for Cryptologic Research 2005.
CITATION STYLE
Coron, J. S., Dodis, Y., Malinaud, C., & Puniya, P. (2006). Merkle-damgård revisited: How to construct a hash function. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3621 LNCS, pp. 430–448). https://doi.org/10.1007/11535218_26
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