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

preprint2015arXivOpen access

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 $\Z_4[u]/<u^2>$ and its Gray image

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A class of cyclic Codes Over the Ring Z4[u]/<u2>\Z_4[u]/<u^2>Z4​[u]/<u2> and its Gray image

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