A class of cyclic Codes Over the Ring $\Z_4[u]/<u^2>$ and its Gray image

Abhay Kumar Singh; Sukhamoy Pattanayak

arxiv: 1507.04938 · v1 · pith:N5ZSJKVQnew · submitted 2015-07-17 · 💻 cs.IT · math.IT

A class of cyclic Codes Over the Ring Z₄[u]/<u²> and its Gray image

Sukhamoy Pattanayak , Abhay Kumar Singh This is my paper

classification 💻 cs.IT math.IT

keywords codescyclicimagealgebraicbeenclassfindgood

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Cyclic codes over R have been introduced recently. In this paper, we study the cyclic codes over R and their $\Z_2$ image. Making use of algebraic structure, we find the some good $\Z_2$ codes of length 28.

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A class of cyclic Codes Over the Ring Z₄[u]/<u²> and its Gray image

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