New Quantum Generalized Reed-Solomn Codes over Finite Fields

04/29/2019
by   Xiaolei Fang, et al.
0

In this paper, we present five new classes of q-ary quantum MDS codes utilizing generalized Reed-Solomon codes satisfying Hermitian self-orthogonal property. Among our constructions, the minimum distance of some q-ary quantum MDS codes can be bigger than q/2+1. Comparing to previous known constrictions, the lengths of codes in our constructions are more flexible.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
01/06/2020

Two new classes of quantum MDS codes from generalized Reed-Solomon codes

In this paper, we mainly use classical Hermitian self-orthogonal general...
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...
research
02/13/2023

New Quantum MDS codes from Hermitian self-orthogonal generalized Reed-Solomon codes

Quantum maximum-distance-separable (MDS for short) codes are an importan...
research
02/14/2020

Constructions of quantum MDS codes

Let F_q be a finite field with q=p^e elements, where p is a prime number...
research
03/18/2018

Two new classes of quantum MDS codes

Let p be a prime and let q be a power of p. In this paper, by using gene...
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
07/29/2020

Constructing Partial MDS Codes from Reducible Curves

We propose reducible algebraic curves as a mechanism to construct Partia...

Please sign up or login with your details

Forgot password? Click here to reset