Complete b-symbol weight distribution of some irreducible cyclic codes

Zhu, Hongwei
Shi, Minjia
Özbudak, Ferruh
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 cyclic 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 cyclic codes with two nonzero b-symbol Hamming weights.


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Citation Formats
H. Zhu, M. Shi, and F. Özbudak, “Complete b-symbol weight distribution of some irreducible cyclic codes,” DESIGNS CODES AND CRYPTOGRAPHY, vol. 90, no. 5, pp. 1113–1125, 2022, Accessed: 00, 2022. [Online]. Available: