Aydogdu et al. studied the standard forms of generator and parity-check matrices of Z 2 Z 2 [u 3 ]-additive codes, and presented generators of Z 2 Z 2 [u 3 ]-additive cyclic codes (Finite Fields Appl. 48: 241-260, 2017). In this paper, we investigate some other useful properties of Z 2 Z 2 [u 3 ]-additive codes, including asymptotically good Z 2 Z 2 [u 3 ]-additive cyclic codes and Z 2 Z 2 [u 3 ]-additive complementary dual codes. The present paper can be viewed as a necessary complementary part of Aydogdu's work.
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