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2008
IEEE

Edge local complementation and equivalence of binary linear codes

9 years 3 months ago
Edge local complementation and equivalence of binary linear codes
Abstract. Orbits of graphs under the operation edge local complementation (ELC) are defined. We show that the ELC orbit of a bipartite graph corresponds to the equivalence class of a binary linear code. The information sets and the minimum distance of a code can be derived from the corresponding ELC orbit. By extending earlier results on local complementation (LC) orbits, we classify the ELC orbits of all graphs on up to 12 vertices. We also give a new method for classifying binary linear codes, with running time comparable to the best known algorithm.
Lars Eirik Danielsen, Matthew G. Parker
Added 25 Dec 2009
Updated 25 Dec 2009
Type Conference
Year 2008
Where DCC
Authors Lars Eirik Danielsen, Matthew G. Parker
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