On cyclic codes and cyclic LCD codes from the family of group rings ℤ4Cn
1Dept. of Mathematics, Yıldız Technical University, Esenler-ISTANBUL
Sigma J Eng Nat Sci 2019; 37(2): 541-549
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 nonfree cyclic LCD ℤ4 codes.
Keywords: Group rings, cyclic codes, zero divisors, linear complementary dual (LCD) codes.
