Arcs in AG(2, q) determining few directions

Journal article

M. Giulietti, G. Korchmáros
Des. Codes Cryptogr., 2013

Cite

APA Click to copy
Giulietti, M., & Korchmáros, G. (2013). Arcs in AG(2, q) determining few directions. Des. Codes Cryptogr.

Chicago/Turabian Click to copy
Giulietti, M., and G. Korchmáros. “Arcs in AG(2, q) Determining Few Directions.” Des. Codes Cryptogr. (2013).

MLA Click to copy
Giulietti, M., and G. Korchmáros. “Arcs in AG(2, q) Determining Few Directions.” Des. Codes Cryptogr., 2013.

BibTeX Click to copy

@article{m2013a,
  title = {Arcs in AG(2, q) determining few directions},
  year = {2013},
  journal = {Des. Codes Cryptogr.},
  author = {Giulietti, M. and Korchmáros, G.}
}

Abstract

The study of k-arcs in AG(2, q) determining few directions is motivated by applications to secret sharing schemes. In this paper we obtain some new results for odd q. An essential tool comes from algebraic geometry via Segre’s result on algebraic envelopes associated to a k-arc.