Name
Title | ||
|---|---|---|
Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance. |
Abstract | ||
|---|---|---|
The entanglement-assisted (EA) formalism allows arbitrary classical linear codes to transform into entanglement-assisted quantum error correcting codes (EAQECCs) by using pre-shared entanglement between the sender and the receiver. In this work, we propose a decomposition of the defining set of constacyclic codes. Using this method, we construct four classes of q-ary entanglement-assisted quantum MDS (EAQMDS) codes based on classical constacyclic MDS codes by exploiting less pre-shared maximally entangled states. We show that a class of q-ary EAQMDS have minimum distance upper bound greater than 3q−1. Some of them have much larger minimum distance than the known quantum MDS (QMDS) codes of the same length. Most of these q-ary EAQMDS codes are new in the sense that their parameters are not covered by the codes available in the literature. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.ffa.2018.06.012 | Finite Fields and Their Applications |
Keywords | DocType | Volume |
81P70 | Journal | 53 |
ISSN | Citations | PageRank |
1071-5797 | 7 | 0.46 |
References | Authors | |
19 | 6 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Liangdong Lu | 1 | 21 | 2.46 |
| Wenping Ma | 2 | 12 | 4.75 |
| Ruihu Li | 3 | 34 | 6.11 |
| Yuena Ma | 4 | 7 | 0.46 |
| Yang Liu | 5 | 25 | 4.58 |
| Hao Cao | 6 | 8 | 1.82 |