On the covering radius of some classes of DNA code over finite ring

Abstract

In this correspondance, investigate the covering radius of different types of repetition codes over finite ring(R) with Bachoc distance. Derive the lower bound and upper bound on the covering radius of block repetition DNA codes over R. Also determined are the covering radius of various repetition DNA codes, simplex DNA code type α and simplex DNA code type β and bounds on the covering radius for macdonald DNA codes of both types over R.