New Parameters on MDS Self-dual Codes over Finite Fields

11/07/2018
by   Xiaolei Fang, et al.
0

In this paper, we produce new classes of MDS self-dual codes via (extended) generalized Reed-Solomon codes over finite fields of odd characteristic. Among our constructions, there are some new parameters on MDS self-dual code which have never been reported.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
11/07/2018

New MDS Self-dual Codes over Finite Fields

In this paper, we produce new classes of MDS self-dual codes via (extend...
research
07/27/2018

Construction of MDS Self-dual Codes over Finite Fields

In this paper, we obtain some new results on the existence of MDS self-d...
research
07/24/2022

New MDS self-dual codes over finite fields of r^2

In recent years, some new classes of MDS self-dual codes were construed....
research
11/13/2019

On the Constructions of MDS Self-dual Codes via Cyclotomy

MDS self-dual codes over finite fields have attracted a lot of attention...
research
05/16/2019

An Unified Approach on Constructing of MDS Self-dual Codes via Reed-Solomon Codes

Based on the fundamental results on MDS self-dual codes over finite fiel...
research
05/24/2020

A Note on Self-Dual Generalized Reed-Solomon Codes

A linear code is called an MDS self-dual code if it is both an MDS code ...
research
11/24/2019

Construction of optimal Hermitian self-dual codes from unitary matrices

We provide an algorithm to construct unitary matrices over finite fields...

Please sign up or login with your details

Forgot password? Click here to reset