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» A multivariate interlace polynomial
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TC
2002
13 years 7 months ago
A Deterministic Multivariate Interpolation Algorithm for Small Finite Fields
We present a new multivariate interpolation algorithm over arbitrary fields which is primarily suited for small finite fields. Given function values at arbitrary t points, we show ...
Zeljko Zilic, Zvonko G. Vranesic
IACR
2011
126views more  IACR 2011»
12 years 7 months ago
On Enumeration of Polynomial Equivalence Classes and Their Application to MPKC
The Isomorphism of Polynomials (IP) is one of the most fundamental problems in multivariate public key cryptography (MPKC). In this paper, we introduce a new framework to study th...
Dongdai Lin, Jean-Charles Faugère, Ludovic ...
CANS
2009
Springer
194views Cryptology» more  CANS 2009»
14 years 2 months ago
Algebraic Attack on the MQQ Public Key Cryptosystem
Abstract. In this paper, we present an efficient attack on the multivariate Quadratic Quasigroups (MQQ) public key cryptosystem. Our cryptanalysis breaks the MQQ cryptosystem by so...
Mohamed Saied Emam Mohamed, Jintai Ding, Johannes ...
CORR
2006
Springer
117views Education» more  CORR 2006»
13 years 7 months ago
Explicit factors of some iterated resultants and discriminants
In this paper, the result of applying iterative univariate resultant constructions to multivariate polynomials is analyzed. We consider the input polynomials as generic polynomials...
Laurent Busé, Bernard Mourrain
EUROCRYPT
2008
Springer
13 years 9 months ago
Key Recovery on Hidden Monomial Multivariate Schemes
Abstract. The problem we study in this paper is the key recovery problem on the C schemes and generalizations where the quadratic monomial of C (the product of two linear monomials...
Pierre-Alain Fouque, Gilles Macario-Rat, Jacques S...