Title : ( cyclic codes over the rings F-2+uF_2 with u^2=u and F-2+uF-2+u^2F-2 with u^3=u )
Authors: zohreh rajabi , Kazem Khashyarmanesh ,
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Abstract
In this paper, we investigate the structure and properties of cyclic codes over the rings F2 + uF2 with u2 = u and F2 + uF2 + u2F2 with u3 = u. We find a set of generators for these codes. Examples of cyclic codes of various lengths also studied.
Keywords
, Codes over rings, Hamming distance, Cyclic codes, Dual codes.
@inproceedings{paperid:1060936,
author = {Rajabi, Zohreh and Khashyarmanesh, Kazem},
title = {cyclic codes over the rings F-2+uF_2 with u^2=u and F-2+uF-2+u^2F-2 with u^3=u},
booktitle = {بیست و پنجمین سمینار جبر ایران},
year = {2016},
location = {سبزوار, IRAN},
keywords = {Codes over rings; Hamming distance; Cyclic codes; Dual codes.},
}
%0 Conference Proceedings
%T cyclic codes over the rings F-2+uF_2 with u^2=u and F-2+uF-2+u^2F-2 with u^3=u
%A Rajabi, Zohreh
%A Khashyarmanesh, Kazem
%J بیست و پنجمین سمینار جبر ایران
%D 2016
