Title
A New Family Of Eaqmds Codes Constructed From Constacyclic Codes
Abstract
In this paper, a family of new entanglement-assisted quantum error-correcting codes (EAQECCs) is constructed from constacyclic codes with length n = q(2)+1/a by giving a new method to select defining sets, where a = m(2) + 1, m > 2 is even and q is an odd prime power with a vertical bar (q +/- m). It is worth pointing out that those EAQECCs are entanglement-assisted quantum maximum distance separable (EAQMDS) codes when d <= n+2/2. 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.
Year
DOI
Venue
2021
10.1007/s10623-021-00908-1
DESIGNS CODES AND CRYPTOGRAPHY
Keywords
DocType
Volume
EAQECCs, EAQMDS codes, Constacyclic codes, Defining set
Journal
89
Issue
ISSN
Citations 
9
0925-1022
1
PageRank 
References 
Authors
0.35
0
4
Name
Order
Citations
PageRank
Xiaojing Chen1348.09
Shixin Zhu221637.61
Jiang Wan321.38
Gaojun Luo4187.99