Non-Binary Quantum Codes from Cyclic Codes over $\mathbb {F}_{p} \times (\mathbb {F}_{p}+v\mathbb {F}_{p})$-Reference-Cited by-同舟云学术

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Non-Binary Quantum Codes from Cyclic Codes over $\mathbb {F}_{p} \times (\mathbb {F}_{p}+v\mathbb {F}_{p})$

Published:2023-02-01 Issue:2 Volume:62 Page:
ISSN:1572-9575
Container-title:International Journal of Theoretical Physics
language:en
Short-container-title:Int J Theor Phys

Author:

Çalışkan Fatma,Yıldırım Tülay,Aksoy Refia

Publisher

Springer Science and Business Media LLC

Subject

Physics and Astronomy (miscellaneous),General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10773-023-05294-z.pdf

Reference38 articles.

1. Blake, I.F.: Codes over certain rings. Inform. Control. 20, 396–404 (1972). https://doi.org/10.1016/S0019-9958(72)90223-9

2. Hammons, A.R., Kumar, P.V., Calderbank, A.R., Sloane, N.J.A., Solé, P.: The $\mathbb {Z}_{4}$-linearity of Kerdock, Preparata, Goethals and related codes. IEEE Trans. Inform. Theory. 40(2), 301–309 (1994). https://doi.org/10.1109/18.312154

3. Dougherty, S.T.: Algebraic Coding Theory over Finite Commutative Rings. Springer, Berlin (2017)

4. Yildiz, B., Karadeniz, S.: Linear codes over $\mathbb {Z}_{4}+u\mathbb {Z}_{4}$: MacWilliams identities, projections, and formally self-dual codes. Finite Fields Their Appl. 27, 24–40 (2014). https://doi.org/10.1016/j.ffa.2013.12.007

5. Zhu, S., Wang, L.: A class of constacyclic codes over $\mathbb {F}_{p}+v\mathbb {F}_{p}$. Discrete Math. 311, 2677–2682 (2011). https://doi.org/10.1016/j.disc.2011.08.015

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. F_p R – Linear Skew Constacyclic Codes;Afyon Kocatepe University Journal of Sciences and Engineering;2024-06-08

2. On Quantum Codes over Non Local Rings;WSEAS TRANSACTIONS ON MATHEMATICS;2024-01-02

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