Generalization of zero set of non-binary triple error correcting BCH type code

Abstract

In our previous paper [6] we constructed some zero set {1 ,3m + 1,3 2m+ 1} and {1, 3m + 1, 33m + 1} and proved that these set represented the zeros of triple error correcting code in non binary case. In this work, we proposed the sufficient condition for the existence of zero set {1,3l + 1,3 kl + 1} of Non binary triple –error-correcting code having gcd (𝑙,𝑛) =1.