Codes from adjacency matrices of uniform subset graphs
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Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
Studies of the p-ary codes from the adjacency matrices of uniform subset graphs Γ(n,k,r)Γ(n,k,r) and their reflexive associates have shown that a particular family of codes defined on the subsets are intimately related to the codes from these graphs. We describe these codes here and examine their relation to some particular classes of uniform subset graphs. In particular we include a complete analysis of the p-ary codes from Γ(n,3,r)Γ(n,3,r) for p≥5p≥5 , thus extending earlier results for p=2,3p=2,3 .
Description
Keywords
Uniform subset graphs, Codes, Graphs
Citation
Fish, W. et al. (2017). Codes from adjacency matrices of uniform subset graphs. Graphs and Combinatorics, 1-30