期刊论文详细信息
Journal of Algebra Combinatorics Discrete Structures and Applications | |
No MacWilliams duality for codes over nonabelian groups | |
article | |
Michael Ryan Julian1  | |
[1] University of Wisconsin | |
关键词: Dual code; Subgroup lattice; MacWilliams identity; Iwasawa group; | |
DOI : 10.13069/jacodesmath.369864 | |
学科分类:社会科学、人文和艺术(综合) | |
来源: Yildiz Technical University | |
【 摘 要 】
Dougherty, Kim, and Solé [3] have asked whether there is a duality theory and a MacWilliams formulafor codes over nonabelian groups, or more generally, whether there is any subclass of nonabelian groupswhich have such a duality theory. We answer this in the negative by showing that there does notexist a nonabelian group G with a duality theory on the subgroups of Gnfor all n.
【 授权许可】
CC BY
【 预 览 】
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