Decoding of Space-Symmetric Rank Errors
Information Theory
2021-02-05 v1 math.IT
Abstract
This paper investigates the decoding of certain Gabidulin codes that were transmitted over a channel with space-symmetric errors. Space-symmetric errors are additive error matrices that have the property that their column and row spaces are equal. We show that for channels restricted to space-symmetric errors, with high probability errors of rank up to 2(n-k)/3 can be decoded with a Gabidulin code of length n and dimension k, using a weak-self orthogonal basis as code locators.
Cite
@article{arxiv.2102.02554,
title = {Decoding of Space-Symmetric Rank Errors},
author = {Thomas Jerkovits and Vladimir Sidorenko and Antonia Wachter-Zeh},
journal= {arXiv preprint arXiv:2102.02554},
year = {2021}
}