Codes from adjacency matrices of uniform subset graphs
| dc.contributor.author | Fish, W. | |
| dc.contributor.author | Key, J. D. | |
| dc.contributor.author | Mwambene, Eric | |
| dc.date.accessioned | 2017-12-11T11:58:43Z | |
| dc.date.available | 2017-12-11T11:58:43Z | |
| dc.date.issued | 2017 | |
| dc.description.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 . | en_US |
| dc.identifier.citation | Fish, W. et al. (2017). Codes from adjacency matrices of uniform subset graphs. Graphs and Combinatorics, 1-30 | en_US |
| dc.identifier.issn | 0911-0119 | |
| dc.identifier.uri | http://dx.doi.org/10.1007/s00373-017-1862-8 | |
| dc.identifier.uri | http://hdl.handle.net/10566/3314 | |
| dc.language.iso | en | en_US |
| dc.privacy.showsubmitter | FALSE | |
| dc.publisher | Springer | en_US |
| dc.rights | This is the author-version of the article published online at: http://dx.doi.org/10.1007/s00373-017-1862-8 | |
| dc.status.ispeerreviewed | TRUE | |
| dc.subject | Uniform subset graphs | en_US |
| dc.subject | Codes | en_US |
| dc.subject | Graphs | en_US |
| dc.title | Codes from adjacency matrices of uniform subset graphs | en_US |
| dc.type | Article | en_US |