On the $$(1+u^2+u^3)$$ -Constacyclic and Cyclic Codes Over the Finite Ring $$ {F}_2+u{F}_2+u^2{F}_2+u^3{F}_2+v{F}_2 $$

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Tarih

2019

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Birkhauser

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info:eu-repo/semantics/closedAccess

Özet

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. © 2019, Springer Nature Switzerland AG.

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[Abstarct Not Available]

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Tutorials, Schools, and Workshops in the Mathematical Sciences

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