On Cyclic Codes And Cyclic Lcd Codes From The Family Of Group Rings Z(4)C(N)

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI(2019)

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摘要
In this work, we study the structure of cyclic zero divisor codes over a family of group rings. We determine the number of elements of these codes and introduce the dual codes. Moreover, we show that there is no non-free cyclic LCD Z(4) codes.
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关键词
Group rings, cyclic codes, zero divisors, linear complementary dual (LCD) codes
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