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Multivariate cryptography is one of the main candidates to guarantee the security of communication in the post-quantum era. Especially in the area of digital signatures, multivariate cryptography offers a wide range of practical schemes. In Petzoldt et al. showed a way to speed up the verification process of improved variants of the UOV and Rainbow signature schemes. In this paper, the authors show how they can do even better by a slight variation of their algorithms.
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