New classes of entanglement-assisted quantum MDS codes

New classes of entanglement-assisted quantum MDS codes

In this paper, two new classes of entanglement-assisted quantum MDS codes (EAQMDS codes for short) with length n being a factor of q 2 ± 1 are presented via cyclic codes over finite fields of odd characteristic. Among our constructions, there are several EAQMDS codes with new parameters which have n...

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Veröffentlicht in:Quantum information processing 2020, Vol.19 (9), Article 289
Hauptverfasser: Jin, Renjie, Xie, Derong, Luo, Jinquan
Format: Artikel
Sprache:eng
Schlagworte:
Binary system
Codes
Data Structures and Information Theory
Entanglement
Fields (mathematics)
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
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Zusammenfassung:In this paper, two new classes of entanglement-assisted quantum MDS codes (EAQMDS codes for short) with length n being a factor of q 2 ± 1 are presented via cyclic codes over finite fields of odd characteristic. Among our constructions, there are several EAQMDS codes with new parameters which have never been reported. Moreover, some of them have much larger minimum distance than known results.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-020-02771-w