Encoding and Decoding of Several Optimal Rank Metric Codes
Information Theory
2022-02-08 v1 math.IT
Abstract
This paper presents encoding and decoding algorithms for several families of optimal rank metric codes whose codes are in restricted forms of symmetric, alternating and Hermitian matrices. First, we show the evaluation encoding is the right choice for these codes and then we provide easily reversible encoding methods for each family. Later unique decoding algorithms for the codes are described. The decoding algorithms are interpolation-based and can uniquely correct errors for each code with rank up to in polynomial-time, where is the minimum distance of the code.
Cite
@article{arxiv.2202.03009,
title = {Encoding and Decoding of Several Optimal Rank Metric Codes},
author = {Wrya K. Kadir and Chunlei Li and Ferdinando Zullo},
journal= {arXiv preprint arXiv:2202.03009},
year = {2022}
}