Algebraic-Coded Cryptosystem Using Primitive Binary BCH Codes

원시 이원 BCH 부호를 사용한 Algebraic-Coded Cryptosystem

The concept of Algebraic-Coded Cryptosystem has been proposed recently but its application has not been developed yet. The primary object of this paper is to implement the Private-Key Algebraic-Coded Cryptosystem by using the primitive binary BCH codes. In the analysis of the cryptosystein, we find out the fact that there may exist other key pairs $S_i\;and\;P_i$ satisfying $G^*=S_{i},G_{s},P_{i}$ where $SG_{s}P$ is the original cryptosystem made by use of the systematic code generation matrix $G_{s}$.