New quantum codes from constacyclic codes over finite chain rings

Author:

Tang Yongsheng,Yao Ting,Xu Heqian,Kai Xiaoshan

Funder

National Natural Science Funds of China

Natural Science Foundation of Anhui Province , Key University Science Research Project of Anhui Province

Publisher

Springer Science and Business Media LLC

Reference38 articles.

1. Ashikhmin, A., Knill, E.: Nonbinary quantum stabilizer codes. IEEE Trans. Inf. Theory 47(7), 3065–3072 (2001)

2. Ashraf, M., Mohammad, G.: Quantum codes from cyclic codes over $$\mathbb{F} _{3}+v\mathbb{F} _{3}$$. Int. J. Quantum Inf. 12(6), 1450042(1–8) (2014)

3. Ashraf, M., Mohammad, G.: Construction of quantum codes from cyclic codes over $$\mathbb{F} _{p}+v\mathbb{F} _{p}$$. Int. J. Inf. Coding Theory 3(2), 137–144 (2015)

4. Ashraf, M., Mohammad, G.: Quantum codes from cyclic codes over $$\mathbb{F} _{q}+u\mathbb{F} _{q}+v\mathbb{F} _{q}+uv\mathbb{F} _{q}.$$ Quantum Inf. Process. 15, 4089–4098 (2016)

5. Ashraf, M., Mohammad, G.: Quantum codes over from cyclic codes over $$\mathbb{F} _{p}[u, v]/\langle u^{2}-1, v^{3}-v, uv-vu\rangle $$. Cryptogr. Commun. 11, 325–335 (2019)

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