| 摘要: |
| 本文研究了环R = F_q + uF_q + vF_q (u^2 = u,v^2 = v,uv = vu = 0)上的循环码和其对偶码的生成多项式以及分解的问题，其中q为素数幂. 利用循环码的分解,得到了域F_q 上具有新参数的量子码. |
| 关键词: 循环码 量子码 对偶码 |
| DOI： |
| 分类号:O236.2 |
| 基金项目: |
|
| Quantum codes from cyclic codes over F_q + uF_q + vF_q |
|
hupeng
|
|
School of Math. and Physics, Hubei Polytechnic University
|
| Abstract: |
| In this paper, we investigate the generator polynomials and some decompositions
of constacyclic codes and their duals over the ring R = F_q + uF_q + vF_q (u^2 = u,v^2 = v,uv = vu = 0),
where q is a prime power. In light of decompositions of cyclic codes, we obtain quantum codes
with new parameters over finite field F_q . |
| Key words: cyclic codes quantum codes dual codes. |
