Cyclic LRC codes and their subfield subcodes
Publication
, Conference
Tamo, I; Barg, A; Goparaju, S; Calderbank, R
Published in: IEEE International Symposium on Information Theory - Proceedings
September 28, 2015
We consider linear cyclic codes with the locality property, or locally recoverable codes (LRC codes). A family of LRC codes that generalizes the classical construction of Reed-Solomon codes was constructed in a recent paper by I. Tamo and A. Barg (IEEE Trans. IT, no. 8, 2014). In this paper we focus on the optimal cyclic codes that arise from the general construction. We give a characterization of these codes in terms of their zeros, and observe that there are many equivalent ways of constructing optimal cyclic LRC codes over a given field. We also study subfield subcodes of cyclic LRC codes (BCH-like LRC codes) and establish several results about their locality and minimum distance.
Duke Scholars
Published In
IEEE International Symposium on Information Theory - Proceedings
DOI
ISSN
2157-8095
ISBN
9781467377041
Publication Date
September 28, 2015
Volume
2015-June
Start / End Page
1262 / 1266
Citation
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Chicago
ICMJE
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Tamo, I., Barg, A., Goparaju, S., & Calderbank, R. (2015). Cyclic LRC codes and their subfield subcodes. In IEEE International Symposium on Information Theory - Proceedings (Vol. 2015-June, pp. 1262–1266). https://doi.org/10.1109/ISIT.2015.7282658
Tamo, I., A. Barg, S. Goparaju, and R. Calderbank. “Cyclic LRC codes and their subfield subcodes.” In IEEE International Symposium on Information Theory - Proceedings, 2015-June:1262–66, 2015. https://doi.org/10.1109/ISIT.2015.7282658.
Tamo I, Barg A, Goparaju S, Calderbank R. Cyclic LRC codes and their subfield subcodes. In: IEEE International Symposium on Information Theory - Proceedings. 2015. p. 1262–6.
Tamo, I., et al. “Cyclic LRC codes and their subfield subcodes.” IEEE International Symposium on Information Theory - Proceedings, vol. 2015-June, 2015, pp. 1262–66. Scopus, doi:10.1109/ISIT.2015.7282658.
Tamo I, Barg A, Goparaju S, Calderbank R. Cyclic LRC codes and their subfield subcodes. IEEE International Symposium on Information Theory - Proceedings. 2015. p. 1262–1266.
Published In
IEEE International Symposium on Information Theory - Proceedings
DOI
ISSN
2157-8095
ISBN
9781467377041
Publication Date
September 28, 2015
Volume
2015-June
Start / End Page
1262 / 1266