Public key cryptosystem based on algebraic geometric codes

Abstract

A public-key cryptosystem based on algebraic geometric codes was proposed.The cryptosystem is a pub-lic-key system combined with error correcting.Compared with M public-key system and some variants,the performance of the public-key cryptosystem was analyzed.It is shown that the security,information rate,error correcting,and prob-ability of correct decipher were improved.

Keywords

• algebraic-geometry codes;M public-key system;security;information rate;error correcting;probability of correct decipher