Affiliation:
1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Abstract
Let R = F3 + vF3 be a finite commutative ring, where v2 = 1. It is a finite semi-local ring, not a chain ring. In this paper, we give a construction for quantum codes from cyclic codes over R. We derive self-orthogonal codes over F3 as Gray images of linear and cyclic codes over R. In particular, we use two codes associated with a cyclic code over R of arbitrary length to determine the parameters of the corresponding quantum code.
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)
Cited by
57 articles.
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1. New quantum codes from constacyclic codes over finite chain rings;Quantum Information Processing;2024-08-30
2. NEW QUANTUM CODES DERIVED FROM THE DIRECT PRODUCT OF RINGS, USING CYCLIC CODES OVER THE RING;Reports on Mathematical Physics;2024-04
3. On quantum and LCD codes from the cyclic codes over the ring $$\mathbb {F}_q[\textsf{u}, \textsf{v},\textsf{w}]/\langle \textsf{u}^3-\textsf{u},\textsf{v}^2-\textsf{v}, \textsf{w}^2-\textsf{w}, \textsf{u}\textsf{v}, \textsf{v}\textsf{u}, \textsf{u}\textsf{w}, \textsf{w}\textsf{u}, \textsf{v}\textsf{w}-\textsf{w}\textsf{v} \rangle $$;Journal of Applied Mathematics and Computing;2024-02-17
4. On Quantum Codes over Non Local Rings;WSEAS TRANSACTIONS ON MATHEMATICS;2024-01-02
5. Quantum Codes Over an Extension of $${\mathbb {Z}_4}$$;Springer Proceedings in Mathematics & Statistics;2024