Skew-cyclic codes based public-key cryptosystem approach

Abstract

This is a survey on the theory of skew-cyclic codes over the ring F-2 + nu F-2, where nu(2) = nu. Coding theory plays an important role in the constructing cryptosystems. In this survey, we propose a public-key cryptosystem using skew-cyclic codes. The encryption is done by the Gray map psi and the projection map phi is used for decryption. This approach is different from the others. More importantly, it is a secure system.