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Journal Articles Journal of Mathematical Cryptology Year : 2010

Algebraic Attack on NTRU using Witt Vectors and Gröbner bases

Abstract

We present an algebraic attack on NTRU (restricted to the case where the parameter q is a power of two) using the method of the Witt vectors proposed by Silverman, Smart and Vercauteren [Springer: 278–298, 2005]; the latter considered only the first two bits of a Witt vector attached to the recovering of the secret key in order to reduce the problem to the resolution of an algebraic system over

Dates and versions

hal-01148133 , version 1 (04-05-2015)

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Gérald Bourgeois, Jean-Charles Faugère. Algebraic Attack on NTRU using Witt Vectors and Gröbner bases. Journal of Mathematical Cryptology, 2010, 3 (3), pp.205--214. ⟨10.1515/jmc.2009.011⟩. ⟨hal-01148133⟩
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