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PartitioningMultivariate Polynomial Equations via Vertex Separators for Algebraic Cryptanalysis and Mathematical Applications
balanced vertex partitions graph partitioning QUAD
2009/7/14
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 ...
A New Efficient Algorithm for Solving Systems of Multivariate Polynomial Equations
multivariate cryptography cryptography algebraic attack
2009/3/4
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...
Zhuang-Zi: A New Algorithm for Solving Multivariate Polynomial Equations over a Finite Field
multivariate polynomials Hidden Field Equation Berlekamp algorithm
2008/10/24
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 Supporting Disjunctions,Polynomial Equations, and Inner Products
Supporting Disjunctions,Polynomial Equations Inner Products
2008/5/26
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...