Symmetries of BLT-sets

Designs, Codes, and Cryptography

Volumn 29, Issue 1-3, 2003, Pages 41-50

  Bader, Laura ^a   Durante, Nicola ^a   Law, Maska ^b   Lunardon, Guglielmo ^a   Penttila, Tim ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

BLT sets; Flocks; Generalised quadrangles; Irreducible quadrics; Reflections

Indexed keywords

COMPUTERS; MATHEMATICAL MODELS; THEOREM PROVING;

IRREDUCIBLE QUADRICS;

CRYPTOGRAPHY;

EID: 0037704501     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024135921258     Document Type: Conference Paper

References (17)

1. L. Bader, Derivation of fisher flocks, J. Geom., Vol. 37 (1990) pp. 17-24.
2. L. Bader, N. Durante, M. Law, G. Limardon and T. Penttila, Flocks and partial flocks of hyperbolic quadrics via root systems, J. Alg. Combin., to appear.
3. L. Bader, C. M. O'Keefe and T. Penttila, Some remarks on flocks, submitted.
4. L. Bader, G. Lunardon and J. A. Thas, Derivation of flocks of quadratic cones, Forum Math., Vol. 2 (1990) pp. 163-174.
5. J. Cannon and C. Playoust, An Introduction to MAGMA, University of Sydney Press, Sydney, Australia, (1993).
6. I. Cardinali, O. Polverino and R. Trombetti, On the sporadic semifield flock, Des. Codes Crypt., to appear.
7. 2*(script O sign) of order (s, s + 2), Ars Combin., Vol. 17 (1984) pp. 225-242.
8. P. H. Fisher, T. Penttila, C. E. Praeger and G. F. Royle, Inversive planes of odd order, European J. Combin., Vol. 10 (1989) pp. 331-336.
9. W. M. Kantor, Note on generalized quadrangles, flocks and BLT-sets, J. Combin. Th. Ser. (A), Vol. 58 (1991) pp. 153-157.
10. M. Law and T. Penttila, BLT-sets over small fields II, in preparation.
11. S. E. Payne and J. A. Thas, Finite Generalized Quadrangles, Pitman, London (1984).
12. T. Penttila, Regular cyclic BLT-sets, Rend. Circ. Mat. Palermo, Suppl. (2), Vol. 53 (1998) pp. 167-172.
13. T. Penttila and G. F. Royle, BLT-sets over small fields, Australas. J. Combin., Vol. 17 (1998) pp. 295-307.
14. E. E. Shult and J. A. Thas, Construction of polygons from buildings, In Proc. London Math. Soc., Vol. 71, No. 3 (1995) pp. 397-440.
15. J. A. Thas, Flocks of nonsingular ruled quadrics in PG(3, q), Atti Accad. Naz. Lincei Rend., Vol. 59 (1975) pp. 83-85.
16. J. A. Thas, Generalized quadrangles and flocks of cones. European J. Combin., Vol. 8 (1987) pp. 441-452.
17. J. A. Thas, Projective geometry over a finite field, In Handbook of Incidence Geometry, Elsevier (1995).