Cryptology ePrint Archive: Report 2016/737

Zero Knowledge Authentication Protocols With Algebraic Geometry Techniques

Edgar González and Guillermo Morales-Luna and Feliú D. Sagols

Abstract: Several cryptographic methods have been developed based on the difficulty to determine the set of solutions of a polynomial system over a given field. We build a polynomial ideal whose algebraic set is related to the set of isomorphisms between two graphs. The problem {\sc isomorphism}, posed in the context of Graph Theory, has been extensively used in zero knowledge authentication protocols. Thus, any cryptographic method based on {\sc isomorphism} can be translated into an equivalent method based on the problem of finding rational points in algebraic sets associated to polynomial ideals.

Category / Keywords: cryptographic protocols / zero knowledge procedures, graph isomorphism problem, multivariate polynomial system

Date: received 26 Jul 2016, withdrawn 25 Apr 2018

Contact author: egonzalez at computacion cs cinvestav mx

Available format(s): (-- withdrawn --)

Version: 20180425:223723 (All versions of this report)

Short URL:

[ Cryptology ePrint archive ]