AI Chat AI Image Generator AI Video Text to Speech

Hulls of special typed linear codes and constructions of new EAQECCs

07/16/2022

∙

by Lin Sok, et al.

∙

∙

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.

page 1

page 2

page 3

page 4

research

∙ 10/13/2019

Some New Classes of Entanglement-assisted Quantum MDS Codes from generalized Reed-Solomon Codes

In this paper, we produce some new classes of entanglement-assisted quan...

0 Renjie Jin, et al. ∙

research

∙ 12/21/2018

Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs

In this paper, we construct several classes of maximum distance separabl...

0 Weijun Fang, et al. ∙

research

∙ 04/22/2019

Steane-Enlargement of Quantum Codes from the Hermitian Curve

In this paper, we study the construction of quantum codes by applying St...

0 René Bødker Christensen, et al. ∙

research

∙ 01/16/2021

On linear codes with one-dimensional Euclidean hull and their applications to EAQECCs

The Euclidean hull of a linear code C is the intersection of C with its ...

0 Lin Sok, et al. ∙

research

∙ 06/14/2019

Optimal q-Ary Error Correcting/All Unidirectional Error Detecting Codes

Codes that can correct up to t symmetric errors and detect all unidirect...

0 Yeow Meng Chee, et al. ∙

research

∙ 11/15/2021

Quantum soundness of testing tensor codes

A locally testable code is an error-correcting code that admits very eff...

0 Zhengfeng Ji, et al. ∙

research

∙ 02/04/2021

Minimizing the alphabet size in codes with restricted error sets

This paper focuses on error-correcting codes that can handle a predefine...

0 Mira Gonen, et al. ∙