The b-weight distribution for MDS codes

07/04/2021

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by   Canze Zhu, et al.

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For a positive integer b≥2, the b-symbol code is a new coding framework proposed to combat b-errors in b-symbol read channels. Especially, a 2-symbol code is called a symbol-pair code. Remarkably, a classical maximum distance separable (MDS) code is also an MDS b-symbol code. Recently, for any MDS code 𝒞, Ma and Luo determined the symbol-pair weight distribution for 𝒞. In this paper, by calculating the number of codewords in 𝒞 with special shape, we obtain the b-weight distribution for 𝒞, and then generalize Theorem 1 in <cit.>.