Distance colorings of hypercubes from -linear codes

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• 作者：Gretchen L. Matthews ^{gmatthe@clemson.edu}
• 关键词：Codes over rings ; Distance coloring ; Gray map ; Hypercube ; Linear code
• 刊名：Discrete Applied Mathematics
• 出版年：2017
• 出版时间：30 January 2017
• 年：2017
• 卷：217
• 期：part_P2
• 页码：356-361
• 全文大小：377 K
• 卷排序：217

文摘

In this paper, we give distance-ℓℓ colorings of the hypercube using nonlinear binary codes which are images of codes which exhibit linear structure over more general rings; specifically, we employ images of Z2Z4Z2Z4-additive codes. This is an extension of the work of Fu, Ling, and Xing (Fu et al., 2013) where the authors demonstrate that distance-ℓℓ colorings may be obtained from nonlinear codes which are binary images of codes that have a linear structure over Z4Z4.