Cyclic LRC-LCD codes with hierarchical locality

C Rajput, M Bhaintwal - IEEE Communications Letters, 2020 - ieeexplore.ieee.org
Locally recoverable (LRC) codes and linear complementary dual (LCD) codes are both
useful in distributed storage systems. In this letter, we establish a connection between LRC …

Locally maximal recoverable codes and LMR-LCD codes

RP Rajpurohit, M Bhaintwal, C Rajput - Designs, Codes and Cryptography, 2024 - Springer
In this work, we propose two new types of codes with locality, namely, locally maximal
recoverable (LMR) codes and λ-maximally recoverable (λ-MR) codes. The LMR codes are a …

Linear Complementary Dual Codes Constructed from Reinforcement Learning

Y Wu, J Ma, S Yang - arXiv preprint arXiv:2409.08114, 2024 - arxiv.org
Recently, Linear Complementary Dual (LCD) codes have garnered substantial interest
within coding theory research due to their diverse applications and favorable attributes. This …

Cyclic locally recoverable LCD codes with the help of cyclotomic polynomials

AK Bhagat, R Sarma - Finite Fields and Their Applications, 2025 - Elsevier
This article explores two families of cyclic codes over F q of length n denoted by C n and C n,
1, which are generated by the n-th cyclotomic polynomial Q n (x) and the polynomial Q n (x) …

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

R Yang, R Li, Q Fu - 2023 - researchsquare.com
The concept of locally repairable code (LRC) is presented to improve the reliability and
efficiency of distributed storage systems. linear complementary dual (LCD) code is proved …

On locality of some binary LCD codes

R Yang, R Li, Q Fu - IEICE Transactions on Fundamentals of …, 2023 - search.ieice.org
The design of codes for distributed storage systems that protects from node failures has
been studied for years, and locally repairable code (LRC) is such a method that gives a …