Abstract
In this paper a new finite ring is introduced along with its algebraic properties. In addition, a new Gray map is defined on the ring. The Gray images of both the cyclic and the \((1+u^{2}+u^{3})\)-constacyclic codes over the finite ring are found to be permutation equivalent to binary quasicyclic codes.
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Güzel, G.G., Dertli, A., Çengellenmiş, Y. (2019). On the \((1+u^2+u^3)\)-Constacyclic and Cyclic Codes Over the Finite Ring \( {F}_2+u{F}_2+u^2{F}_2+u^3{F}_2+v{F}_2 \). In: Inam, I., Büyükaşık, E. (eds) Notes from the International Autumn School on Computational Number Theory. Tutorials, Schools, and Workshops in the Mathematical Sciences . Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-12558-5_6
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DOI: https://doi.org/10.1007/978-3-030-12558-5_6
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