ON CYCLIC CODES AND CYCLIC LCD CODES FROM THE FAMILY OF GROUP RINGS ℤ4Cn

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:37 Issue:2
ON CYCLIC CODES AND CYCLIC LCD CODES FROM THE FAMILY OF GROUP RINGS ℤ4Cn

ON CYCLIC CODES AND CYCLIC LCD CODES FROM THE FAMILY OF GROUP RINGS ℤ4Cn

Authors : Mehmet Emin KÖROĞLU, Bayram Ali ERSOY

Pages : 541-549

View : 31 | Download : 8

Publication Date : 2019-06-01

Article Type : Research Paper

Abstract :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 ℤ4 codes.
Keywords : Group rings, cyclic codes, zero divisors, linear complementary dual LCD, codes

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