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Title: A new family of EAQMDS codes constructed from constacyclic codes
Authors: Chen, Xiaojing
Zhu, Shixin
Jiang, Wan
Luo, Gaojun
Keywords: Science::Mathematics::Algebra
Issue Date: 2021
Source: Chen, X., Zhu, S., Jiang, W. & Luo, G. (2021). A new family of EAQMDS codes constructed from constacyclic codes. Designs, Codes, and Cryptography, 89(9), 2179-2193.
Journal: Designs, Codes, and Cryptography
Abstract: In this paper, a family of new entanglement-assisted quantum error-correcting codes (EAQECCs) is constructed from constacyclic codes with length n=q2+1a by giving a new method to select defining sets, where a= m2+ 1 , m> 2 is even and q is an odd prime power with a∣ (q± m). It is worth pointing out that those EAQECCs are entanglement-assisted quantum maximum distance separable (EAQMDS) codes when d≤n+22. All of them are new in the sense that their parameters are not covered by the previously known ones. Moreover, they have minimum distance larger than q+ 1. Compared with the codes with the same length listed in Table 1, our codes have larger minimum distance.
ISSN: 0925-1022
DOI: 10.1007/s10623-021-00908-1
Rights: © 2021 The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:SPMS Journal Articles

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