Construction of quantum codes from  -constacyclic codes over the ring Fp[u,v]  v3−v,u3−u,uv−vu

Please use this identifier to cite or link to this item: http://localhost:8080/xmlui/handle/123456789/636

Title:	Construction of quantum codes from -constacyclic codes over the ring Fp[u,v] v3−v,u3−u,uv−vu
Authors:	Gowdhaman, Karthick Mohan, Cruz Chinnapillai, Durairajan Gao, Jian
Keywords:	Quantum codes
Issue Date:	2022
Abstract:	In this paper we construct quantum codes over Fp by using cyclic and λ-cyclic codes over the ring R = Fp+uFp+u2Fp+vFp+uvFp+u2vFp+v2Fp+uv2Fp+u2v2Fp where v3 = v, u3 = u, uv = vu and p is an odd prime integer. Using the idempotent decompositionmethod, we have given the parameters of the quantum code. Moreover, the structure of cyclic and λ-constacyclic codes over R is studied. Some quantum codes over Fp are given.
URI:	http://localhost:8080/xmlui/handle/123456789/636
Appears in Collections:	Department of Mathematics

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