Quantum codes from codes over the ring $\mathbb{F}_{2^m}+\alpha \mathbb{F}_{2^m}+\beta \mathbb{F}_{2^m}+ \gamma \mathbb{F}_{2^m}$

Author:

Güzeltepe Murat,Eröz Mustafa

Publisher

Journal of Universal Mathematics

Reference6 articles.

1. [1] Calderbank A. R., Rains, E. M., Shor, P. W., Sloane, N. J. A., "Quantum error correction via codes over $GF (4)$", IEEE Trans. Inform. Theory, vol. 44, pp. 1369- 1387, 1998.

2. [2] Kai X., Zhu S., "Quaternary construction of quantum codes from cyclic codes over $\mathbb{F}_4+u\mathbb{F}_4$", Int. Journal of Quantum Inf., vol. 9, no. 2, pp. 689-700, 2011.

3. [3] Qian J., "Quantum Codes from Cyclic Codes over $\mathbb{F}_2+v\mathbb{F}_2$", Journal of Information and Computational Science, vol. 10, no. 6, pp. 1715-1722, 2013.

4. [4] YoungJu Choie, Steven T. Dougherty, "Codes over $\Sigma _{2m}$ and Jacobi forms over Quaternions", AAECC, vol. 15, pp. 129-147, 2004.

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