Complete b-symbol weight distribution of some irreducible cyclic codes

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Date

2022-05-01

Author

Zhu, Hongwei
Shi, Minjia
Özbudak, Ferruh

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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 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.

Subject Keywords

Cyclic code, b-symbol error, b-symbol Hamming weight distribution, Irreducible cyclic code, DISTANCE SEPARABLE CODES, HAMMING WEIGHTS

URI

https://hdl.handle.net/11511/97258

Journal

DESIGNS CODES AND CRYPTOGRAPHY

DOI

https://doi.org/10.1007/s10623-022-01030-6

Collections

Department of Mathematics, Article

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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: https://hdl.handle.net/11511/97258.