How to Break Shamir’s Asymmetric Basis
Identifieur interne : 002958 ( Main/Exploration ); précédent : 002957; suivant : 002959How to Break Shamir’s Asymmetric Basis
Auteurs : Thorsten Theobald [Allemagne]Source :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 1995.
Abstract
Abstract: At Crypto 93, Shamir proposed a family of signature schemes using algebraic bases. Coppersmith, Stern and Vaudenay presented an attack on one variant of the cryptosystem. Their attack does not recover the secret key. For one of the variants proposed by Shamir we show how to recover the secret key. Our attack is based on algebraic methods which are also applicable to many other instances of polynomial equations in the presence of some trapdoor condition.
Url:
DOI: 10.1007/3-540-44750-4_11
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: At Crypto 93, Shamir proposed a family of signature schemes using algebraic bases. Coppersmith, Stern and Vaudenay presented an attack on one variant of the cryptosystem. Their attack does not recover the secret key. For one of the variants proposed by Shamir we show how to recover the secret key. Our attack is based on algebraic methods which are also applicable to many other instances of polynomial equations in the presence of some trapdoor condition.</div>
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