Some new QEC MDS codes with large minimum distance
Abstract The advancement of Quantum Error-Correcting (QEC) Maximum Distance Separable (MDS) codes holds substantial importance in practical applications, substantially augmenting the reliability and efficiency of quantum communication and computing. This paper introduces two new classes of QEC MDS c...
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Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-06092-9 |
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| author | Lanqiang Li Fuyin Tian Ziwen Cao Li Liu |
| author_facet | Lanqiang Li Fuyin Tian Ziwen Cao Li Liu |
| author_sort | Lanqiang Li |
| collection | DOAJ |
| description | Abstract The advancement of Quantum Error-Correcting (QEC) Maximum Distance Separable (MDS) codes holds substantial importance in practical applications, substantially augmenting the reliability and efficiency of quantum communication and computing. This paper introduces two new classes of QEC MDS codes, which are devised through the utilization of generalized Reed–Solomon (GRS) codes and the Hermitian construction approach. The novelty of our QEC MDS codes lies in their parameters being distinct from all previously reported codes. Moreover, most of our codes possess a considerably greater minimum distance in comparison to existing codes of the same length. |
| format | Article |
| id | doaj-art-c7c47e0e045148e7925ffd57acface60 |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-c7c47e0e045148e7925ffd57acface602025-08-20T03:03:24ZengNature PortfolioScientific Reports2045-23222025-07-0115111510.1038/s41598-025-06092-9Some new QEC MDS codes with large minimum distanceLanqiang Li0Fuyin Tian1Ziwen Cao2Li Liu3School of Information and Artificial Intelligence, Anhui Agricultural UniversitySchool of Information and Artificial Intelligence, Anhui Agricultural UniversitySchool of Information and Artificial Intelligence, Anhui Agricultural UniversitySchool of Mathematics, HeFei University of TechnologyAbstract The advancement of Quantum Error-Correcting (QEC) Maximum Distance Separable (MDS) codes holds substantial importance in practical applications, substantially augmenting the reliability and efficiency of quantum communication and computing. This paper introduces two new classes of QEC MDS codes, which are devised through the utilization of generalized Reed–Solomon (GRS) codes and the Hermitian construction approach. The novelty of our QEC MDS codes lies in their parameters being distinct from all previously reported codes. Moreover, most of our codes possess a considerably greater minimum distance in comparison to existing codes of the same length.https://doi.org/10.1038/s41598-025-06092-9Quantum Error-Correcting codesMaximum Distance Separable codesHermitian self-orthogonalGeneralized Reed–Solomon codes |
| spellingShingle | Lanqiang Li Fuyin Tian Ziwen Cao Li Liu Some new QEC MDS codes with large minimum distance Scientific Reports Quantum Error-Correcting codes Maximum Distance Separable codes Hermitian self-orthogonal Generalized Reed–Solomon codes |
| title | Some new QEC MDS codes with large minimum distance |
| title_full | Some new QEC MDS codes with large minimum distance |
| title_fullStr | Some new QEC MDS codes with large minimum distance |
| title_full_unstemmed | Some new QEC MDS codes with large minimum distance |
| title_short | Some new QEC MDS codes with large minimum distance |
| title_sort | some new qec mds codes with large minimum distance |
| topic | Quantum Error-Correcting codes Maximum Distance Separable codes Hermitian self-orthogonal Generalized Reed–Solomon codes |
| url | https://doi.org/10.1038/s41598-025-06092-9 |
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