Welcome to the resource topic for 2017/093
Title:
On new multivariate cryptosystems based on hidden Eulerian equations over finite fields
Authors: Vasyl Ustimenko
Abstract:We propose new multivariate cryptosystems over n-dimensional vector space over a finite field F_q based on idea of hidden discrete logarithm problem for {F^*}_q. These cryptosystems are based on hidden eulerian equations x^{\alpha}=a, (\alpha, q-1)=1. The method is based on the idea of Eulerian transformations, which allow us to use asymmetric algorithms based on families of nonlinear multiplicatively injective maps of prescribed polynomial density and flexible degree.
ePrint: https://eprint.iacr.org/2017/093
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