Number Theoretical Locally Recoverable Codes
Information Theory
2023-04-19 v1 math.IT
Number Theory
Abstract
In this paper we give constructions for infinite sequences of finite non-linear locally recoverable codes over a product of finite fields arising from basis expansions in algebraic number fields. The codes in our sequences have increasing length and size, constant rate, fixed locality, and minimum distance going to infinity.
Cite
@article{arxiv.2304.09071,
title = {Number Theoretical Locally Recoverable Codes},
author = {Andrea Ferraguti and Dorian Goldfeld and Giacomo Micheli},
journal= {arXiv preprint arXiv:2304.09071},
year = {2023}
}