250 research outputs found
On the 430-cap of having two intersection sizes with respect to hyperplanes
Let be a 430-cap of having two intersection
sizes with respect to hyperplanes. We show that no hyperplane of
intersects in a Hill 78-cap. So if it can be
shown that the Hill 78-cap of is projectively unique, then
such a 430-cap does not exist, or equivalently, a two-weight
linear code with dual weight at least 4, does not
exist
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