Algebraic cryptanalysis of HFE and Filter Generators.Report as inadecuate




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1 SPACES - Solving problems through algebraic computation and efficient software INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications

Abstract : HFE Hidden Fields Equations is a public key cryptosystem using polynomial operations over finite fields.
It has been proposed by Jacques Patarin at Eurocrypt 96 following the ideas of Matsumoto and Imai.
It has long been regarded as a very promising cryptosystem because it can be used to produce signatures as short as 128, 100 and even 80 bits.
HFE gives the shortest unbroken signatures known except with the recent McEliece signature scheme.
Without the secret univariate polynomial it is necessary to solve polynomial system of equations.
One of the most efficient tool for solving algebraic system is Gröbner bases

keyword : grobner hfe





Author: Jean-Charles Faugère -

Source: https://hal.archives-ouvertes.fr/



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