Advanced search
2 files | 426.81 KB

On hyperovals of polar spaces

Bart De Bruyn (UGent)
(2010) DESIGNS CODES AND CRYPTOGRAPHY. 56(2-3). p.183-195
Author
Organization
Abstract
We derive lower and upper bounds for the size of a hyperoval of a finite polar space of rank 3. We give a computer-free proof for the uniqueness, up to isomorphism, of the hyperoval of size 126 of H(5, 4) and prove that the near hexagon E-3 has up to isomorphism a unique full embedding into the dual polar space DH(5, 4).
Keywords
Near hexagons, Full embeddings, Hyperovals of polar spaces, Locally subquadrangular hyperplanes, POLYGONS, HYPERPLANES, RANK-3

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 229.46 KB
  • hyperoval.pdf
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 197.35 KB

Citation

Please use this url to cite or link to this publication:

Chicago
De Bruyn, Bart. 2010. “On Hyperovals of Polar Spaces.” Designs Codes and Cryptography 56 (2-3): 183–195.
APA
De Bruyn, B. (2010). On hyperovals of polar spaces. DESIGNS CODES AND CRYPTOGRAPHY, 56(2-3), 183–195. Presented at the International Conference Galois Geometries and Applications.
Vancouver
1.
De Bruyn B. On hyperovals of polar spaces. DESIGNS CODES AND CRYPTOGRAPHY. 2010;56(2-3):183–95.
MLA
De Bruyn, Bart. “On Hyperovals of Polar Spaces.” DESIGNS CODES AND CRYPTOGRAPHY 56.2-3 (2010): 183–195. Print.
@article{1105438,
  abstract     = {We derive lower and upper bounds for the size of a hyperoval of a finite polar space of rank 3. We give a computer-free proof for the uniqueness, up to isomorphism, of the hyperoval of size 126 of H(5, 4) and prove that the near hexagon E-3 has up to isomorphism a unique full embedding into the dual polar space DH(5, 4).},
  author       = {De Bruyn, Bart},
  issn         = {0925-1022},
  journal      = {DESIGNS CODES AND CRYPTOGRAPHY},
  keywords     = {Near hexagons,Full embeddings,Hyperovals of polar spaces,Locally subquadrangular hyperplanes,POLYGONS,HYPERPLANES,RANK-3},
  language     = {eng},
  location     = {Ghent, Belgium},
  number       = {2-3},
  pages        = {183--195},
  title        = {On hyperovals of polar spaces},
  url          = {http://dx.doi.org/10.1007/s10623-010-9400-1},
  volume       = {56},
  year         = {2010},
}

Altmetric
View in Altmetric
Web of Science
Times cited: