Name
Abstract | ||
|---|---|---|
It is known that the Hermitian varieties are codewords in the code defined by the points and hyperplanes of the projective spaces PG(r, q(2)). In finite geometry, also quasi-Hermitian varieties are defined. These are sets of points of PG(r, q(2)) of the same size as a non-singular Hermitian variety of PG(r, q(2)), having the same intersection sizes with the hyperplanes of PG(r, q(2)). In the planar case, this reduces to the definition of a unital. A famous result of Blokhuis, Brouwer, and Wilbrink states that every unital in the code of the points and lines of PG(2, q(2)) is a Hermitian curve. We prove a similar result for the quasi-Hermitian varieties in PG(3, q(2)), q = p(h), as well as in PG(r, q(2)), q = p prime, or q = p(2), p prime, and r >= 4. |
Year | Venue | Keywords |
|---|---|---|
2018 | ELECTRONIC JOURNAL OF COMBINATORICS | Hermitian variety,incidence vector,codes of projective spaces,quasi-Hermitian variety |
Field | DocType | Volume |
Prime (order theory),Discrete mathematics,Combinatorics,Unital,Hyperplane,Hermitian matrix,Hermitian variety,Finite geometry,Mathematics | Journal | 25.0 |
Issue | ISSN | Citations |
1.0 | 1077-8926 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Angela Aguglia | 1 | 13 | 7.62 |
| Daniele Bartoli | 2 | 71 | 23.04 |
| Leo Storme | 3 | 197 | 38.07 |
| Zsuzsa Weiner | 4 | 50 | 9.72 |