Advanced search
1 file | 213.23 KB Add to list

Partial ovoids and partial spreads in hermitian polar spaces

Jan De Beule (UGent) , Andreas Klein (UGent) , Klaus Metsch and Leo Storme (UGent)
(2008) DESIGNS CODES AND CRYPTOGRAPHY. 47(1-3). p.21-34
Author
Organization
Abstract
We present improved lower bounds on the sizes of small maximal partial ovoids in the classical hermitian polar spaces, and improved upper bounds on the sizes of large maximal partial spreads in the classical hermitian polar spaces. Of particular importance is the presented upper bound on the size of a maximal partial spread of H(3,q(2)). For q = 2,3, the presented upper bound is sharp. For q = 3, our results confirm via theoretical arguments properties, deduced by computer searches performed by Ebert and Hirschfeld, for the largest partial spreads of H(3,9). An overview of the status regarding these results is given in two summarizing tables. The similar results for the classical symplectic and orthogonal polar spaces are presented in De Beule et al. [8].
Keywords
polar space, partial spread, hermitian variety, partial ovoid

Downloads

  • DBKMS DCC2008.pdf
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 213.23 KB

Citation

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

MLA
De Beule, Jan et al. “Partial Ovoids and Partial Spreads in Hermitian Polar Spaces.” DESIGNS CODES AND CRYPTOGRAPHY 47.1-3 (2008): 21–34. Print.
APA
De Beule, J., Klein, A., Metsch, K., & Storme, L. (2008). Partial ovoids and partial spreads in hermitian polar spaces. DESIGNS CODES AND CRYPTOGRAPHY, 47(1-3), 21–34.
Chicago author-date
De Beule, Jan, Andreas Klein, Klaus Metsch, and Leo Storme. 2008. “Partial Ovoids and Partial Spreads in Hermitian Polar Spaces.” Designs Codes and Cryptography 47 (1-3): 21–34.
Chicago author-date (all authors)
De Beule, Jan, Andreas Klein, Klaus Metsch, and Leo Storme. 2008. “Partial Ovoids and Partial Spreads in Hermitian Polar Spaces.” Designs Codes and Cryptography 47 (1-3): 21–34.
Vancouver
1.
De Beule J, Klein A, Metsch K, Storme L. Partial ovoids and partial spreads in hermitian polar spaces. DESIGNS CODES AND CRYPTOGRAPHY. 2008;47(1-3):21–34.
IEEE
[1]
J. De Beule, A. Klein, K. Metsch, and L. Storme, “Partial ovoids and partial spreads in hermitian polar spaces,” DESIGNS CODES AND CRYPTOGRAPHY, vol. 47, no. 1–3, pp. 21–34, 2008.
@article{435433,
  abstract     = {We present improved lower bounds on the sizes of small maximal partial ovoids in the classical hermitian polar spaces, and improved upper bounds on the sizes of large maximal partial spreads in the classical hermitian polar spaces. Of particular importance is the presented upper bound on the size of a maximal partial spread of H(3,q(2)). For q = 2,3, the presented upper bound is sharp. For q = 3, our results confirm via theoretical arguments properties, deduced by computer searches performed by Ebert and Hirschfeld, for the largest partial spreads of H(3,9). An overview of the status regarding these results is given in two summarizing tables. The similar results for the classical symplectic and orthogonal polar spaces are presented in De Beule et al. [8].},
  author       = {De Beule, Jan and Klein, Andreas and Metsch, Klaus and Storme, Leo},
  issn         = {0925-1022},
  journal      = {DESIGNS CODES AND CRYPTOGRAPHY},
  keywords     = {polar space,partial spread,hermitian variety,partial ovoid},
  language     = {eng},
  number       = {1-3},
  pages        = {21--34},
  title        = {Partial ovoids and partial spreads in hermitian polar spaces},
  url          = {http://dx.doi.org/10.1007/s10623-007-9047-8},
  volume       = {47},
  year         = {2008},
}

Altmetric
View in Altmetric
Web of Science
Times cited: