New optimized Lcd codes and quantum codes using constacyclic codes over a non-local collection of rings $${{\varvec{A}}}_{{\varvec{k}}}$$

Author:

Soni PoojaORCID,Pruthi Manju

Publisher

Springer Science and Business Media LLC

Reference22 articles.

1. Alkenani, A.N., Ashraf, M., Mohammad, G.: Quantum codes from constacyclic codes over the ring $$F_q [u_1,u_2 ]/\langle u_1^2-u_1,u_2^2=u_2,u_1 u_2-u_1 u_2 \rangle$$. Mathematics. 8, 1–11 (2020)

2. Ashraf, M., Mohammad, G.: Construction of quantum codes from cyclic cods over

3. Calderbank, A.R., et al.: Quantum error correction via codes over GF(4). IEEE Trans. Inf. Theory. 44, 1369–1387 (1998)

4. Dinh, H.Q., Bag, T., et al.: Quantum codes obtained from constacyclic codes over a family of finite rings $$F_p [u_1,u_2,\ldots,u_s ]$$. IEEE Access. 8, 194082–194091 (2020)

5. Gowdhaman, K., Mohan, C., et al.: Construction of quantum codes from λ-constacyclic codes over the ring $$ F_{p} \left[ {u,~v} \right]/\left\langle {{\text{v}}^{3} - {\text{v}},{\text{u}}^{{3{\text{~}}}} {-}{\text{u~}},{\text{uv}} - {\text{vu}}} \right\rangle $$. J. Appl. Math. Comput. 65, 1–12 (2020)

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