New construction of ternary locally repairable codes that are also LCD codes

Abstract

Efficient distributed storage systems are favorable for handling big data, and it is deployed across network of plenty of different storage nodes. In order to improving reliability and efficiency, locally repairable codes (LRCs) are especially beneficial. On the other hand, linear complementary dual (LCD) codes are proved useful for preventing malicious attacks, which helps to secure the system. For the purpose of enhancing repair effciency and security, we put LRC and LCD code together for consideration in this paper. A new construction of ternary LRCs that are also LCD codes is given. Many ternary LCD-LRCs are obtained, whose parameters are optimal in terms of the bound of LRC.