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arXiv · 1910.12242

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

Xiaomeng Zhu·Yansheng Wu·Qin Yue
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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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Xiaomeng Zhu, Yansheng Wu, Qin Yue. 2019-10-27. New quaternary codes derived from posets of the disjoint union of two chains. https://arxiv.org/abs/1910.12242

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