Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Journal of Algebra

Quantum codes over the ring F_2 + uF_2 + u^2F_2 + ... + u^mF_2

Abdullah Dertli, Yasemin Çengellenmiş, Şenol Eren

Published Jan 1, 2015• 10 citations
Publisher
DOI
10.12988/ija.2015.529

Related papers

Quantum Codes from Cyclic Codes over $F_2+vF_2$

Jianfa Qian

Journal of Information and Computational Science•Apr 10, 2013•57 citations

Gray Map and Quantum Codes over the Ring F_2+uF_2+u^2F_2

Xunru Yin, Wenping Ma

In this paper, by denning the Lee distance and the Lee weight of linear codes over the ring R = F2+uF2+ u2F2, we construct a Gray map which is both an isometry and a weight-preserving map from Rnto F23n. In addition, using the proposed Gray map, we give an existence condition of quantum codes which are derived from cyclic codes over R with the Lee metric.

IEEE International Conference on Trust, Security and Privacy in Computing and Communications (TrustCom)•Nov 1, 2011•11 citations

On Quantum Codes Obtained From Cyclic Codes Over F_2+vF_2+v^2F_2

Abdullah Dertli, Yasemin Çengellenmiş, Şenol Eren

A new Gray map which is both an isometry and a weight preserving map from R=F_2+vF_2+v^2F_2 to (F_2)^3 is defined. A construction for quantum error correcting codes from cyclic codes over finite ring R=F_2+vF_2+v^2F_2, v^3=v is given. The parameters of quantum codes which are obtained from cyclic codes over R are determined.

arXiv:1407.1232•Jun 19, 2014•1 citation

On Quantum Codes Obtained From Cyclic Codes Over $\F_2+u\F_2+u^2\F_2$

Sukhamoy Pattanayak, Abhay Kumar Singh, Pratyush Kumar

•Jan 11, 2016•0 citations

Quantum Codes Obtained from Some Constacyclic Codes Over a Family of Finite Rings $$F_{p}+uF_{p}+vF_{p}$$

Abdullah Dertli, Yasemin Çengellenmiş

Mathematics in Computer Science•Dec 17, 2019•3 citations

QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING

Jianfa Qian, Wenping Ma, Wangmei Guo

A new method to obtain self-orthogonal codes over finite field F2 is presented. Based on this method, we provide a construction for quantum error-correcting codes starting from cyclic codes over finite ring R = F2 + uF2. As an example, we present infinite families of quantum error-correcting codes which are derived from cyclic codes over the ring R = F2 + uF2.

International Journal of Quantum Information•Sep 1, 2009•90 citations
Quantum Codes from Cyclic Codes over F2+vF2F_2+vF_2F2​+vF2​
Quantum Codes Obtained from Some Constacyclic Codes Over a Family of Finite Rings Fp+uFp+vFpF_{p}+uF_{p}+vF_{p}Fp​+uFp​+vFp​