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The Joux-Vitse Crossbred algorithm's aim is to efficiently solve a system of semi-regular multivariate polyno-mials equations. The authors tested their algorithm for boolean polynomials in F2 and stated that this algorithm also works for other non-boolean finite fields. In addition, the algorithm is dependent on a set of parameters that control its...
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In (Finite Fields Their Appl. 46, 38–56 2017), Wu et al. defined the notion of quasi-multiplicative (QM) equivalence among permutation polynomials. Other than showing thoroughly, there is no efficient approach to determine whether two given permutation polynomials are QM equivalent or not. This paper provides new results to determine QM equivalence...