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Maximal partial line spreads of non-singular quadrics

Sara Rottey (UGent) and Leo Storme (UGent)
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Abstract
For n >= 9 , we construct maximal partial line spreads for non-singular quadrics of for every size between approximately and , for some small constants and . These results are similar to spectrum results on maximal partial line spreads in finite projective spaces by Heden, and by Gacs and SzAnyi. These results also extend spectrum results on maximal partial line spreads in the finite generalized quadrangles and by Pepe, Roing and Storme.
Keywords
Maximal partial line spreads, Quadrics, Spectrum results, N-QUEEN PROBLEM, GENERALIZED QUADRANGLE Q(4, SPECTRUM RESULT, PARTIAL OVOIDS, Q-EVEN, Q)

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Citation

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

Chicago
Rottey, Sara, and Leo Storme. 2014. “Maximal Partial Line Spreads of Non-singular Quadrics.” Designs Codes and Cryptography 72 (1): 33–51.
APA
Rottey, Sara, & Storme, L. (2014). Maximal partial line spreads of non-singular quadrics. DESIGNS CODES AND CRYPTOGRAPHY, 72(1), 33–51.
Vancouver
1.
Rottey S, Storme L. Maximal partial line spreads of non-singular quadrics. DESIGNS CODES AND CRYPTOGRAPHY. 2014;72(1):33–51.
MLA
Rottey, Sara, and Leo Storme. “Maximal Partial Line Spreads of Non-singular Quadrics.” DESIGNS CODES AND CRYPTOGRAPHY 72.1 (2014): 33–51. Print.
@article{4407011,
  abstract     = {For n >= 9 , we construct maximal partial line spreads for non-singular quadrics of for every size between approximately and , for some small constants and . These results are similar to spectrum results on maximal partial line spreads in finite projective spaces by Heden, and by Gacs and SzAnyi. These results also extend spectrum results on maximal partial line spreads in the finite generalized quadrangles and by Pepe, Roing and Storme.},
  author       = {Rottey, Sara and Storme, Leo},
  issn         = {0925-1022},
  journal      = {DESIGNS CODES AND CRYPTOGRAPHY},
  keywords     = {Maximal partial line spreads,Quadrics,Spectrum results,N-QUEEN PROBLEM,GENERALIZED QUADRANGLE Q(4,SPECTRUM RESULT,PARTIAL OVOIDS,Q-EVEN,Q)},
  language     = {eng},
  number       = {1},
  pages        = {33--51},
  title        = {Maximal partial line spreads of non-singular quadrics},
  url          = {http://dx.doi.org/10.1007/s10623-012-9788-x},
  volume       = {72},
  year         = {2014},
}

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