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Erschienen in:
2007 | OriginalPaper | Buchkapitel
On Building Hash Functions from Multivariate Quadratic Equations
verfasst von : Olivier Billet, Matt J. B. Robshaw, Thomas Peyrin
Erschienen in: Information Security and Privacy
Verlag: Springer Berlin Heidelberg
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Recent advances in hash functions cryptanalysis provide a strong impetus to explore new designs. This paper describes a new hash function
mq-hash
that depends for its security on the difficulty of solving randomly drawn systems of multivariate equations over a finite field. While provably achieving pre-image resistance for a hash function based on multivariate equations is relatively easy, naïve constructions using multivariate equations are susceptible to collision attacks. In this paper, therefore, we describe a mechanism—also using multivariate quadratic polynomials—yielding the collision-free property we seek while retaining provable pre-image resistance. Therefore,
mq-hash
offers an intriguing companion proposal to the provably collision-free hash function
vsh
.