Kushwaha, Sarika \(( 1+\lambda uvw)\)-constacyclic codes over the ring \(\mathbb F_q[u,v,w]/ \langle u^2, v^2, w^2, uv-vu, vw-wv, uw-Wu \rangle\). (English) Zbl 1409.94933 Nonlinear Stud. 24, No. 1, 89-99 (2017). Summary: In this paper, we find constacyclic codes over the ring \[R_{u^2, v^2, w^2, q}= \mathbb{F}_q[u,v,w]/\langle u^2,\ v^2, w^2,\ uv-vu, vw-wv, uw-wu \rangle\] of length \(q-1\) where \(q\) is a power of prime number. We find minimal spanning set and a unique set of generators for these codes. We also show that the Gray image of \((1+\lambda uvw)\)-constacyclic codes of length \(N\) over \(R_{u^2, v^2, w^2, q}\) is a 8-quasicyclic binary linear code of length \(8N\) over \(\mathbb{F}_q\). MSC: 94B15 Cyclic codes Keywords:constacyclic code; Gray map; quasicyclic code PDFBibTeX XMLCite \textit{S. Kushwaha}, Nonlinear Stud. 24, No. 1, 89--99 (2017; Zbl 1409.94933) Full Text: Link