A first Catalgorithm ?
Abstract
We propose building a new PKC in a ring structure, the classification of rings being an open problem. The difficulty of the scheme is based on retrieving the eigenvalues of endomorphism on a finite type module over a non-commutative ring. It is resistant to a chosen cipher text attack. Working in the fraction ring of a non-commutative ring makes our scheme a zero-knowledge proof of knowledge, result indistinguishable, in the Naor-Yung model. Finally, a dramatic improvement in security is obtained through the drawing with uniform probability of the working ring at high frequency.
References
J.-J. Quisquater, Interviewee, Personal communication. [Interview].
T. Y. Lam, Lectures on modules and rings, Springer, 1999.
J.-F. Geneste, Interviewee, Séminaire GRECC ENS. [Interview]. 2002.
Noncommutative algebra, Springer, 1993.
U. Feige, A. Fiat et A. Shamir, «Zero-knowledge proofs of indentity,» Journal of Cryptology, pp. pp77-94.
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