Combinatorial metrics: MacWilliams-type identities, isometries and\n extension property

2017/03/23 by Jerry Anderson Pinheiro, Pinheiro, Jerry Anderson, Roberto Assis Machado +3 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #FOS: Computer and information sciences #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Information Theory (cs.IT) #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1703.08271

openalex publication_date 2017/03/23 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

In this work we characterize the combinatorial metrics admitting a\nMacWilliams-type identity and describe the group of linear isometries of such\nmetrics. Considering coverings that are not connected, we classify the metrics\nsatisfying the MacWilliams extension property.\n

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