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Erschienen in:
2008 | OriginalPaper | Buchkapitel
Multivariates Polynomials for Hashing
verfasst von : Jintai Ding, Bo-Yin Yang
Erschienen in: Information Security and Cryptology
Verlag: Springer Berlin Heidelberg
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We propose the idea of building a secure hash using quadratic or higher degree multivariate polynomials over a finite field as the compression function. We analyze some security properties and potential feasibility, where the compression functions are randomly chosen high-degree polynomials, and show that under some plausible assumptions, high-degree polynomials as compression functions has good properties. Next, we propose to improve on the efficiency of the system by using some specially designed polynomials generated by a small number of random parameters, where the security of the system would then relies on stronger assumptions, and we give empirical evidence for the validity of using such polynomials.