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Construction of Asymptotically Good Locally Repairable Codes via Automorphism Groups of Function Fields.
- Source :
- IEEE Transactions on Information Theory; Nov2019, Vol. 65 Issue 11, p7087-7094, 8p
- Publication Year :
- 2019
-
Abstract
- Locally repairable codes have been investigated extensively in recent years due to practical applications in distributed storage as well as theoretical interest. However, not much work on asymptotical behavior of locally repairable codes has been done until now. In particular, there is little result on constructive lower bound of asymptotical behavior of locally repairable codes. In this paper, we extend the construction given by Barg et al. via automorphism groups of function field towers. The main advantage of our construction is to allow more flexibility of locality. Furthermore, we show that the Gilbert–Varshamov type bound on locally repairable codes can be improved for all sufficiently large alphabet size $q$. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 65
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 139229541
- Full Text :
- https://doi.org/10.1109/TIT.2019.2923609