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arXiv · 2011.02805

On cyclic LRC codes that are also LCD codes

Charul Rajput·Maheshanand Bhaintwal·Ramakrishna Bandi
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Abstract

Locally recoverable (LRC) codes provide a solution to single node failure in distributed storage systems, where it is a very common problem. On the other hand, linear complementary dual (LCD) codes are useful in fault injections attacks on storage systems. In this paper, we establish a connection between LRC codes and LCD codes. We derive some conditions on the construction of cyclic LRC codes so that they are also LCD codes. A lower bound on the minimum distance of such codes is determined. Some examples have been given to explain the construction.

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Charul Rajput, Maheshanand Bhaintwal, Ramakrishna Bandi. 2020-11-05. On cyclic LRC codes that are also LCD codes. https://arxiv.org/abs/2011.02805

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