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

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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