New Quantum MDS codes from Hermitian self-orthogonal generalized Reed-Solomon codes
Ruhao Wan, Shixin Zhu
TL;DR
This paper introduces five new classes of quantum MDS codes derived from Hermitian self-orthogonal GRS codes, achieving larger minimum distances and extending the known parameter range beyond previous constructions.
Contribution
The paper presents novel quantum MDS codes constructed from Hermitian self-orthogonal GRS codes with parameters not attainable by earlier methods.
Findings
Five new classes of quantum MDS codes with larger minimum distances.
Codes have parameters not achievable by previous constructions.
Enhanced quantum error correction capabilities.
Abstract
Quantum maximum-distance-separable (MDS for short) codes are an important class of quantum codes. In this paper, by using Hermitian self-orthogonal generalized Reed-Solomon (GRS for short) codes, we construct five new classes of -ary quantum MDS codes with minimum distance larger than . Furthermore, the parameters of our quantum MDS code cannot be obtained from the previous constructions.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Coding theory and cryptography · Quantum-Dot Cellular Automata