Skip to main content Accessibility help
×
Home

On vectors of weight 16 in the code of a projective plane of order 10

  • Alan R. Prince (a1)

Synopsis

The problem of constructing certain 39-line starts for a projective plane of order 10, assuming that there is a vector of weight 16 in the associated binary code, is considered.

Copyright

References

Hide All
1Anstee, R. P., Hall, M., Jr. and Thompson, J. G.. Planes of order 10 do not have a collineation of order 5. J. Combin. Theory Ser. A 29 (1980), 3958.
2Bruen, A. and Fisher, J. C.. Blocking sets, k-arcs and nets of order 10. Adv. in Math. 10 (1973), 317–320.
3Carter, J. L.. On the existence of a projective plane of order 10 (Ph.D. thesis, Univ. of California, Berkeley, 1974).
4Denniston, R. H. F.. Nonexistence of a certain projective plane. J. Austral. Math. Soc. 10 (1969), 214218.
5Hall, M., Jr. Configurations in a plane of order ten. Ann. Discrete Math. 6 (1980), 157174.
6MacWilliams, F. J., Sloane, N. J. A. and Thompson, J. G.. On the existence of a projective plane of order 10. J. Combin. Theory Ser. A 14 (1973), 6678.
7Thompson, J. G.. Fixed point free involutions and finite projective planes. In Finite Simple Groups II, pp. 321337 (London: Academic Press, 1980).

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed