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- Centre National de la Recherche ScientifiqueFR52 papers
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3 papers · 1 filter
math.CO2008★ 1 cited
Proofs of two conjectures on ternary weakly regular bent functions
Tor Helleseth, Henk D. L. Hollmann, Alexander Kholosha +2
We study ternary monomial functions of the form $f(x)=\Tr_n(ax^d)$, where $x\in \Ff_{3^n}$ and $\Tr_n: \Ff_{3^n}\to \Ff_3$ is the absolute trace function. Using a lemma of Hou \cit…
math.CO2007★ 19 cited
Edge Local Complementation and Equivalence of Binary Linear Codes
Lars Eirik Danielsen, Matthew G. Parker
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…
math.CO2006★ 10 cited
On Pivot Orbits of Boolean Functions
Constanza Riera, Lars Eirik Danielsen, Matthew G. Parker
We derive a spectral interpretation of the pivot operation on a graph and generalise this operation to hypergraphs. We establish lower bounds on the number of flat spectra of a Boo…