Abstract
Let f(u) and g(v) be two polynomials, not both linear, which split into distinct linear factors over \({\mathbb {F}}_{q}\). Let \({\mathcal {R}}={\mathbb {F}}_{q}[u,v]/\langle f(u),g(v),uv-vu\rangle \) be a finite commutative non-chain ring. In this paper, we study general skew cyclic codes and \(\theta _t\)-skew constacyclic codes over the ring \({\mathcal {R}}\) where \(\theta _t\) is an automorphism of \({\mathcal {R}}\).
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The authors are very grateful to the referees for a meticulous reading of the paper and for valuable suggestions which helped to improve it a lot. The research of second author is supported by Council of Scientific and Industrial Research (CSIR), India, sanction no. 21(1042)/17/ EMR-II.
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Bhardwaj, S., Raka, M. Skew constacyclic codes over a non-chain ring \({\mathbb {F}}_{q}[u,v]/\langle f(u),g(v), uv-vu\rangle \). AAECC 31, 173–194 (2020). https://doi.org/10.1007/s00200-020-00425-z
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DOI: https://doi.org/10.1007/s00200-020-00425-z