# New quantum mds constacyl{\i}c codes

## TL;DR

This paper introduces four new families of quantum MDS codes derived from constacyclic codes over finite fields, expanding the known constructions and generalizing previous results in quantum coding theory.

## Contribution

The paper presents novel constructions of quantum MDS codes using constacyclic codes, including a generalization of existing theorems and four new code families.

## Key findings

- Four new quantum MDS code families constructed
- Extension of previous theorems in quantum code construction
- Explicit generalization of prior quantum code constructions

## Abstract

This paper is devoted to the study of the construction of new quantum MDS codes. Based on constacyclic codes over Fq2 , we derive four new families of quantum MDS codes, one of which is an explicit generalization of the construction given in Theorem 7 in [22]. We also extend the result of Theorem 3:3 given in [17].

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Source: https://tomesphere.com/paper/1701.05045