Complete b-symbol weight distribution of some irreducible cyclic codes

10/02/2021

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by   Hongwei Zhu, et al.

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Recently, b-symbol codes are proposed to protect against b-symbol errors in b-symbol read channels. It is an interesting subject of study to consider the complete b-symbol weight distribution of cyclic codes since b-symbol metric is a generalization for Hamming metric. The complete b-symbol Hamming weight distribution of irreducible codes is known in only a few cases. In this paper, we give a complete b-symbol Hamming weight distribution of a class of irreducible codes with two nonzero b-symbol Hamming weights.