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- Title
On quantum and LCD Codes Over The Ring Fq+vFq+v2Fq.
- Authors
Ali, S.; Mohammad, G.; Jeelani; Khan, N.; Sharma, P.
- Abstract
Let m ≥ 1 be a fixed integer and q be an odd prime such that q = p m . The aim of this paper is to study cyclic codes over a non-chain ring R = F q + v F q + v 2 F q , where v 3 = v . Precisely, we describe better quantum error-correcting codes than the previously known quantum error-correcting codes over F q . Moreover, as an application, we construct MDS LCD codes and prove that the Gray image of an LCD code of length n over R is also an LCD code of length 3n over F q .
- Subjects
CYCLIC codes; ERROR-correcting codes; GRAY codes; INTEGERS
- Publication
Quantum Information Processing, 2022, Vol 21, Issue 9, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-022-03654-y