Results 61 to 70 of about 563,145 (166)

Automorphism Groups of BWD-codes

open access: yesJournal of Combinatorial Theory, Series A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Quantum Codes from Group Ring Codes

open access: yes
This article examines group ring codes over finite fields and finite groups. We also present a section on two-dimensional cyclic codes in the quotient ring $\mathbb{F}_q[x, y] / \langle x^{l} - 1, y^{m} - 1 \rangle$. These two-dimensional cyclic codes can be analyzed using the group ring $\mathbb{F}_q(C_{l} \times C_{m})$, where $C_{l}$ and $C_{m ...
Abdukhalikov, Kanat   +2 more
openaire   +2 more sources

Abelian Group Codes for Source Coding and Channel Coding

open access: yes, 2013
In this paper, we study the asymptotic performance of Abelian group codes for the lossy source coding problem for arbitrary discrete (finite alphabet) memoryless sources as well as the channel coding problem for arbitrary discrete (finite alphabet) memoryless channels. For the source coding problem, we derive an achievable rate-distortion function that
Sahebi, Aria G., Pradhan, S. Sandeep
openaire   +2 more sources

Fault-Tolerant Logical Clifford Gates from Code Automorphisms

open access: yesPRX Quantum
We study the implementation of fault-tolerant logical Clifford gates on stabilizer quantum error-correcting codes based on their symmetries. Our approach is to map the stabilizer code to a binary linear code, compute its automorphism group, and impose ...
Hasan Sayginel   +4 more
doaj   +1 more source

Editorial: Plate subduction and mineralization in East and Central Asia

open access: yesFrontiers in Earth Science, 2022
Chun-Kit Lai   +4 more
doaj   +1 more source

Generalized Reed-Solomon codes over number fields and exact gradient coding

open access: yesAIMS Mathematics
This paper describes generalized Reed-Solomon (GRS) codes over number fields that are invariant under certain permutations. We call these codes generalized quasi-cyclic (GQC) GRS codes.
Irwansyah   +3 more
doaj   +1 more source

Cyclic codes and primitive idempotents in the finite cyclic group algebras

open access: yesEuropean Journal of Mathematics and Applications, 2022
Azhar O. Almalki, Ahmed A. Khammash
doaj   +1 more source

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