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New bounds on the minimum distance of cyclic codes
Date
2021-02-01
Author
Ling, San
Özkaya, Buket
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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Two bounds on the minimum distance of cyclic codes are proposed. The first one generalizes the Roos bound by embedding the given cyclic code into a cyclic product code. The second bound also uses a second cyclic code, namely the non-zero-locator code, but is not directly related to cyclic product codes and it generalizes a special case of the Roos bound.
Subject Keywords
Cyclic codes
,
Minimum distance bound
,
Product code
,
Roos bound
URI
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85099400681&origin=inward
https://hdl.handle.net/11511/103401
Journal
Advances in Mathematics of Communications
DOI
https://doi.org/10.3934/amc.2020038
Collections
Graduate School of Applied Mathematics, Article
Citation Formats
IEEE
ACM
APA
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BibTeX
S. Ling and B. Özkaya, “New bounds on the minimum distance of cyclic codes,”
Advances in Mathematics of Communications
, vol. 15, no. 1, pp. 1–8, 2021, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85099400681&origin=inward.
