New quaternary codes derived from posets of the disjoint union of two chains

Qin Yue; Xiaomeng Zhu; Yansheng Wu

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New quaternary codes derived from posets of the disjoint union of two chains

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arxiv 1910.12242 v1 pith:7VXC7OG4 submitted 2019-10-27 cs.IT math.IT

Xiaomeng Zhu , Yansheng Wu , Qin Yue This is my paper

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keywords codeslinearquaternarychainsdisjointposetsunionbinary

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abstract

Based on the generic construction of linear codes, we construct linear codes over the ring $\Bbb Z_4$ via posets of the disjoint union of two chains. We determine the Lee weight distributions of the quaternary codes. Moreover, we obtain some new linear quaternary codes and good binary codes by using the Gray map.

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