On the Construction of Quantum and LCD Codes from Cyclic Codes over the Finite Commutative Rings
In: Axioms, Jg. 12 (2023-04-01), Heft 4, S. 367-367
Online
academicJournal
Zugriff:
Let Fq be a field of order q, where q is a power of an odd prime p, and α and β are two non-zero elements of Fq. The primary goal of this article is to study the structural properties of cyclic codes over a finite ring R=Fq[u1,u2]/⟨u12−α2,u22−β2,u1u2−u2u1⟩. We decompose the ring R by using orthogonal idempotents Δ1,Δ2,Δ3, and Δ4 as R=Δ1R⊕Δ2R⊕Δ3R⊕Δ4R, and to construct quantum-error-correcting (QEC) codes over R. As an application, we construct some optimal LCD codes.
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On the Construction of Quantum and LCD Codes from Cyclic Codes over the Finite Commutative Rings
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Autor/in / Beteiligte Person: | Ali, Shakir ; Alali, Amal S. ; Jeelani, Mohammad ; Kurulay, Muhammet ; Elif Segah Öztas ; Sharma, Pushpendra |
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Zeitschrift: | Axioms, Jg. 12 (2023-04-01), Heft 4, S. 367-367 |
Veröffentlichung: | MDPI AG, 2023 |
Medientyp: | academicJournal |
ISSN: | 2075-1680 (print) |
DOI: | 10.3390/axioms12040367 |
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