Copy For Citation
Zhu H., Shi M., ÖZBUDAK F.
DESIGNS CODES AND CRYPTOGRAPHY, vol.90, no.5, pp.1113-1125, 2022 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
90
Issue:
5
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Publication Date:
2022
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Doi Number:
10.1007/s10623-022-01030-6
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Journal Name:
DESIGNS CODES AND CRYPTOGRAPHY
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, PASCAL, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, zbMATH
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Page Numbers:
pp.1113-1125
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Keywords:
Cyclic code, b-symbol error, b-symbol Hamming weight distribution, Irreducible cyclic code, DISTANCE SEPARABLE CODES, HAMMING WEIGHTS
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Middle East Technical University Affiliated:
Yes
Abstract
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.