Constacyclic codes over the ring $${\mathbb {F}}_q+v{\mathbb {F}}_q+v^{2}{\mathbb {F}}_q$$Fq+vFq+v2Fq and their applications of constructing new non-binary quantum codes
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DOI: 10.1007/s11128-018-1898-6
Abstract: Let $$R={\mathbb {F}}_q+v{\mathbb {F}}_q+v^{2}{\mathbb {F}}_q$$R=Fq+vFq+v2Fq be a finite non-chain ring, where q is an odd prime power and $$v^3=v$$v3=v. In this paper, we propose two methods of constructing quantum codes from $$(\alpha +\beta v+\gamma v^{2})$$(α+βv+γv2)-constacyclic… read more here.
Keywords: mathbb vfq; quantum codes; mathbb mathbb; mathbb ... See more keywords