Hulls of special typed linear codes and constructions of new EAQECCs
Information Theory
2022-07-19 v1 math.IT
Abstract
In this paper, we study Euclidean and Hermitian hulls of generalized Reed-Solomon codes and twisted generalized Reed-Solomon codes, as well as the Hermitian hulls of Roth-Lempel typed codes. We present explicit constructions of MDS and AMDS linear codes for which their hull dimensions are well determined. As an application, we provide several classes of entanglement-assisted quantum error correcting codes with new parameters.
Keywords
Cite
@article{arxiv.2207.07792,
title = {Hulls of special typed linear codes and constructions of new EAQECCs},
author = {Lin Sok},
journal= {arXiv preprint arXiv:2207.07792},
year = {2022}
}
Comments
13 pages