On the Maximum Burst-Correcting Capability of Cyclic Hsu–Kasami–Chien Codes
(2017) In IEEE Communications Letters- Abstract
Hsu–Kasami–Chien (HKC) are a class of cyclic codes that can correct either burst or random errors. This paper studies the maximum burst-correcting capability of HKC codes. A necessary and sufficient condition for a b- burst-correcting cyclic HKC code is given and simplified as a generalized one for Fire codes. An upper bound on the burstcorrecting capability of HKC codes is derived, which improves upon a previous bound. Explicit examples of HKC codes are presented. A design guideline for constructing HKC codes with given burst-error and random-error correcting capabilities is presented.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/b66daf7f-4837-42a7-a0a9-2a72ac29dd28
- author
- Zhou, Wei LU
- organization
- publishing date
- 2017-08-13
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Burst-correcting code, Compounds, cyclic code, Design methodology, Fires, Generators, Indexes, Standards, Upper bound
- in
- IEEE Communications Letters
- issue
- 99
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- wos:000415700000007
- scopus:85028468394
- ISSN
- 1089-7798
- DOI
- 10.1109/LCOMM.2017.2739725
- language
- English
- LU publication?
- yes
- id
- b66daf7f-4837-42a7-a0a9-2a72ac29dd28
- date added to LUP
- 2017-09-07 11:15:59
- date last changed
- 2024-03-17 20:44:58
@article{b66daf7f-4837-42a7-a0a9-2a72ac29dd28, abstract = {{<p>Hsu–Kasami–Chien (HKC) are a class of cyclic codes that can correct either burst or random errors. This paper studies the maximum burst-correcting capability of HKC codes. A necessary and sufficient condition for a b- burst-correcting cyclic HKC code is given and simplified as a generalized one for Fire codes. An upper bound on the burstcorrecting capability of HKC codes is derived, which improves upon a previous bound. Explicit examples of HKC codes are presented. A design guideline for constructing HKC codes with given burst-error and random-error correcting capabilities is presented.</p>}}, author = {{Zhou, Wei}}, issn = {{1089-7798}}, keywords = {{Burst-correcting code; Compounds; cyclic code; Design methodology; Fires; Generators; Indexes; Standards; Upper bound}}, language = {{eng}}, month = {{08}}, number = {{99}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, series = {{IEEE Communications Letters}}, title = {{On the Maximum Burst-Correcting Capability of Cyclic Hsu–Kasami–Chien Codes}}, url = {{http://dx.doi.org/10.1109/LCOMM.2017.2739725}}, doi = {{10.1109/LCOMM.2017.2739725}}, year = {{2017}}, }