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Many efficient attacks have appeared in recent years, which have led to serious blow for the traditional multivariate public key cryptosystems. For example, the signature scheme SFLASH was broken by Dubois et al. at CRYPTO'07, and the Square signature (or encryption) scheme by Billet et al. at ASIACRYPTO'09. Most multivariate schemes known so far are insecure, except maybe the signature schemes UOV and HFEv-. Following these new developments, it seems that the general design principle of multivariate schemes has been seriously questioned, and there is a rather pressing desire to find new trapdoor construction or mathematical tools and ideal. In this paper, the authors introduce the hash authentication techniques and combine with the traditional MQ-trapdoors to propose a novel hash-based multivariate public key cryptosystems.
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