Caps in the projective geometry PG(n, 4)

Authors

• Alphonse Baartmans, Michigan Technological UniversityFollow
• Joseph L. Yucas, Southern Illinois University at Carbondale

Document Type

Article

Publication Date

4-2004

Department

Department of Mathematical Sciences

Abstract

We construct a cap Cn in PG(n,4) of size 12(2n-2 - 1) + 5. In the cases when n = 3 and 4, this yields geometric constructions of the well-known ovoid in PG(3,4) and the Tallini cap in PG(4,4).

Publication Title

Finite Fields and their Applications

Recommended Citation

Baartmans, A., & Yucas, J. (2004). Caps in the projective geometry PG(n, 4). Finite Fields and their Applications, 10(2), 159-167. http://doi.org/10.1016/S1071-5797(03)00049-2
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/7653