On error correcting codes and their applications

Abstract

To expand the use of codes and provide a form of error - correction, it is useful to extend the use of binary streams into another representation. in this work, we have used different monoid rings for the contruction of a new family of error correcting codes having better error correction capability. initially we have constructed binary cyclic codes using monoid rings instead of polynomial ring. for an n length binary cyclic code, three different binary cyclic codes of length an, bn and abn are obtain. these codes are interleaved codes capable of correcting burst of errors alongwith random error correction.