A class of non-binary BCH code of Bose and minimum distance

Abstract

BCH Code is most famous code in the field of coding theory because they have very effective encoding and decoding algorithms. These codes are best considered as cyclic codes. But from the last two decades there is not much progress over the minimum distance of BCH code. To calculate the minimum distance of BCH code is a well-known problem in general. We studied on the dimension of narrow sense Non-binary BCH code (𝑞, 𝑢, 𝑟2l−4 + 1) and also find out the Bose Distance of non-binary BCH code of design distance 𝛿 = 𝑞2l + 1.