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Constructions of Optimal Binary Locally Recoverable Codes via a General Construction of Linear Codes.
- Source :
-
IEEE Transactions on Communications . Aug2021, Vol. 69 Issue 8, p4987-4997. 11p. - Publication Year :
- 2021
-
Abstract
- Locally recoverable codes play a crucial role in distributed storage systems. Many studies have only focused on the constructions of optimal locally recoverable codes with regard to the Singleton bound. The aim of this paper is to construct optimal binary locally recoverable codes meeting the alphabet-dependent bound. Using a general framework for linear codes associated to a set, we provide a new approach to constructing binary locally recoverable codes with locality 2. We turn the problem of designing optimal binary locally recoverable codes into constructing a suitable set. Several constructions of optimal binary locally recoverable codes are proposed by this new method. Finally, we propose constructions of optimal binary locally recoverable codes with locality 2 and locality parameters $(\text {r},\delta)$ by Griesmer codes. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR codes
*SPREAD spectrum communications
*HAMMING weight
Subjects
Details
- Language :
- English
- ISSN :
- 00906778
- Volume :
- 69
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Communications
- Publication Type :
- Academic Journal
- Accession number :
- 153154569
- Full Text :
- https://doi.org/10.1109/TCOMM.2021.3083320