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Title:
On Roots Factorization for PQC Algorithms
Authors: Alexander Maximov
Abstract:In this paper we consider several methods for an efficient extraction of roots of a polynomial over large finite fields. The problem of computing such roots is often the performance bottleneck for some multivariate quantum-immune cryptosystems, such as HFEv-based Quartz, Gui, etc. We also discuss a number of techniques for fast computation of traces as part of the factorization process. These optimization methods could significantly improve the performance of cryptosystems where roots factorization is a part thereof.
ePrint: https://eprint.iacr.org/2020/027
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