On generalized quasi-cyclic codes over ℤ_4

03/23/2022

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by   Jian Gao, et al.

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Based on good algebraic structures and practicabilities, generalized quasi-cyclic (GQC) codes play important role in coding theory. In this paper, we study some results on GQC codes over ℤ_4 including the normalized generating set, the minimum generating set and the normalized generating set of their dual codes. As an application, new ℤ_4-linear codes and good nonlinear binary codes are constructed from GQC codes over ℤ_4.