We propose a new construction for binary locally repairable codes (LRCs) based on a (partial) $t$-spread, which constructs an LRC with minimum distance ≥and any locality geq . Furthermore, we found that there are some cases in which the resulting codes are optimum in terms of the upper bound by Cadambe and Mazumdar in 2015.
Bibliographical noteFunding Information:
Manuscript received January 26, 2017; revised March 21, 2017; accepted April 12, 2017. Date of publication April 20, 2017; date of current version August 10, 2017. This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2013R1A1A2062061). The associate editor coordinating the review of this letter and approving it for publication was B. Smida. (Corresponding author: Hong-Yeop Song.) The authors are with the Department of Electrical and Electronic Engineering, Yonsei University, Seoul 120-749, South Korea (e-mail: hysong@ yonsei.ac.kr). Digital Object Identifier 10.1109/LCOMM.2017.2697424
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computer Science Applications
- Electrical and Electronic Engineering