A construction of MDS quantum convolutional codes
In this paper, two new families of MDS quantum convolutional codes are constructed. The first one can be regarded as a generalization of [36, Theorem 6.5], in the sense that we do not assume that q ≡ 1 (mod 4). More specifically, we obtain two classes of MDS quantum convolutional codes with paramete...
Saved in:
| Main Authors: | , , |
|---|---|
| 其他作者: | |
| 格式: | Article |
| 語言: | English |
| 出版: |
2015
|
| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/107262 http://hdl.handle.net/10220/25435 |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| 機構: | Nanyang Technological University |
| 語言: | English |
| 總結: | In this paper, two new families of MDS quantum convolutional codes are constructed. The first one can be regarded as a generalization of [36, Theorem 6.5], in the sense that we do not assume that q ≡ 1 (mod 4). More specifically, we obtain two classes of MDS quantum convolutional codes with parameters: (i) [(q2 + 1; q2 �����- 4i + 3, 1; 2, 2i + 2)]q, where q ≥ 5 is an odd prime power and 2 ≤ i ≤ (q �����- 1)/2; (ii) [( (q2+1)/10 , (q2+1)/10 - ����� 4i, 1; 2, 2i + 3)]q, where q is an odd prime power with the form q = 10m + 3 or 10m + 7 (m ≥ 2), and 2 ≤ i ≤ 2m - ����� 1. |
|---|