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We present a novel approach for solving systems of polynomial equations via graph partitioning. The concept of a variable-sharing graph of a system of polynomial equations is defined. If such graph ...
The security of many recently proposed cryptosystems is based on the difficulty of solving large systems of quadratic multivariate polynomial equations. The classical algorithm for solving such a sy...
We present the Zhuang-Zi algorithm, a new method for solv- ing multivariate polynomial equations over a ¯nite ¯eld. We describe the algorithm and present examples, some of which cannot be...
Predicate encryption is a new paradigm generalizing, among other things, identity-based encryption. In a predicate encryption scheme, secret keys correspond to predicates and ciphertexts are associat...

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