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Quantum Algorithms for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems
quantum algorithm Boolean equation solving quantum algebraic attac
2018/1/12
Decision of whether a Boolean equation system has a solution is an NPC problem and finding a solution is NP hard. In this paper, we present a quantum algorithm to decide whether a Boolean equation sys...
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 ...
Efficient Characteristic Set Algorithms for Equation Solving in Finite Fields and Application in Analysis of Stream Ciphers
Characteristic set proper triangular set finite field
2010/1/18
Efficient characteristic set methods for computing solutions of a polynomial
equation system in a finite field are proposed. We introduce the concept of proper
triangular sets and prove that proper ...
This is the third paper of the series entitled “A mechanization method of geometryand its applications”, cf.[WU3—5]. In the present paper it is shown how inequalities can be proved by means of the aut...