Name
Abstract | ||
|---|---|---|
Galois hulls of linear codes have important applications in quantum coding theory. In this paper, we construct some new classes of (extended) generalized Reed-Solomon (GRS) codes with Galois hulls of arbitrary dimensions. We also propose a general method on constructing GRS codes with Galois hulls of arbitrary dimensions from special Euclidean orthogonal GRS codes. Finally, we construct several new families of entanglement-assisted quantum error-correcting codes (EAQECCs) and MDS EAQECCs by utilizing the above results. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1007/s12095-021-00525-8 | CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES |
Keywords | DocType | Volume |
Galois hull, MDS code, Generalized Reed-Solomon (GRS) code, Entanglement-assisted quantum error-correcting code (EAQECC) | Journal | 14 |
Issue | ISSN | Citations |
1 | 1936-2447 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaolei Fang | 1 | 6 | 3.14 |
| Renjie Jin | 2 | 0 | 0.34 |
| Jinquan Luo | 3 | 5 | 2.45 |
| Wen Ma | 4 | 0 | 0.34 |