MDS Constacyclic Codes of Prime Power Lengths Over Finite Fields and Construction of Quantum MDS Codes

Author:

Dinh Hai Q.,ElDin Ramy Taki,Nguyen Bac T.ORCID,Tansuchat Roengchai

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous),General Mathematics

Reference65 articles.

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

2. Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wooters, W.K.: Mixed state entanglement and quantum error correction. Phys. Rev. A. 54, 3824 (1996)

3. Berlekamp, E.R.: Negacyclic codes for the Lee metric. In: Proceedings of the Conference on Combinatorial Mathematics and Its Application, Chapel Hill, pp 298–316 (1968)

4. Berlekamp, E.R: Algebraic Coding Theory, revised 1984 edition. Aegean Park Press, Laguna Hills (1984)

5. Berman, S.D.: Semisimple cyclic and Abelian codes. II. Kibernetika (Kiev) 3, 17–23 (1967). (Russian). English translation: Cybernetics 3, 17–23 (1967)

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