Name
Title | ||
|---|---|---|
Quantum Codes From Hermitian Dual-Containing Constacyclic Codes Over F-Q(2) + Vf(Q)(2) |
Abstract | ||
|---|---|---|
Let R be the finite non-chain ring F-q2 + VFq2, where v(2) = v and q is an odd prime power. In this paper, we study quantum codes over F-q from constacyclic codes over R. We define a class of Gray maps, which preserves the Hermitian dual-containing property of linear codes from R to F-q2. We study alpha(1 - 2v)-constacyclic codes over R, and show that the images of alpha(1 - 2v)-constacyclic codes over R under the special Gray map are alpha(2)-constacyclic codes over Fe . Some new non-binary quantum codes are obtained via the Gray map and the Hermitian construction from Hermitian dualcontaining alpha(1 - 2v)-constacyclic codes over R. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1007/s11128-021-03052-w | QUANTUM INFORMATION PROCESSING |
Keywords | DocType | Volume |
Quantum codes, Constacyclic codes, Hermitian dual-containing, Gray map | Journal | 20 |
Issue | ISSN | Citations |
3 | 1570-0755 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yu Wang | 1 | 0 | 0.34 |
| Xiaoshan Kai | 2 | 50 | 4.29 |
| Zhonghua Sun | 3 | 75 | 26.21 |
| Shixin Zhu | 4 | 216 | 37.61 |