Generalized Pellegrino Caps
Document Type
Article
Digital Object Identifier (DOI)
10.1016/j.ffa.2012.05.006
Journal Title
Finite Fields and Their Applications
Publication Date
2012
Abstract
A cap in a projective or affine geometry is a set of points with the property that no line meets the set in more than two points. The study of caps in finite affine and projective spaces is motivated by a connection to various classical problems, including certain construction problems for optimal linear codes and partitioning problems in finite geometric spaces. In many of these applications, finding the maximal size of a cap in a finite geometric space is a problem of particular interest.
Publisher Statement
This article is freely available under Elsevier's Open Archive content.
Recommended Citation
Dover, Jeremy M., Keith E. Mellinger, and Kenneth L. Wantz. 2012. “Generalized Pellegrino Caps.” Finite Fields and Their Applications 18 (5): 946–55. https://doi.org/10.1016/j.ffa.2012.05.006.
Comments
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