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Characteristic Set Algorithms for Equation Solving in Finite Fields and Applications in Cryptanalysis
Characteristic set finite field proper triangular set regular triangular set Boolean function stream cipher
2013/9/9
Efficient characteristic set methods for computing solutions of polynomial equation systems in a finite field are proposed. The concept of proper triangular sets is introduced and an explicit formula ...
Desingularization of binomial varieties in arbitrary characteristic. Part II. Combinatorial desingularization algorithm
Resolution of Singularities Binomial ideals
2010/11/29
In this paper we construct a combinatorial algorithm of resolution of singularities for binomial ideals, over a field of arbitrary characteristic. This algorithm is applied to any binomial ideal.This ...