English

On cyclic LRC codes that are also LCD codes

Information Theory 2020-11-09 v1 math.IT

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.

Keywords

Cite

@article{arxiv.2011.02805,
  title  = {On cyclic LRC codes that are also LCD codes},
  author = {Charul Rajput and Maheshanand Bhaintwal and Ramakrishna Bandi},
  journal= {arXiv preprint arXiv:2011.02805},
  year   = {2020}
}
R2 v1 2026-06-23T19:56:09.997Z