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A new family of EAQMDS codes constructed from constacyclic codes.
- Source :
- Designs, Codes & Cryptography; Sep2021, Vol. 89 Issue 9, p2179-2193, 15p
- Publication Year :
- 2021
-
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 ∣ (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. [ABSTRACT FROM AUTHOR]
- Subjects :
- ERROR-correcting codes
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Details
- Language :
- English
- ISSN :
- 09251022
- Volume :
- 89
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Designs, Codes & Cryptography
- Publication Type :
- Academic Journal
- Accession number :
- 152014722
- Full Text :
- https://doi.org/10.1007/s10623-021-00908-1