منابع مشابه
Orthogonal arrays from Hermitian varieties
A simple orthogonal array OA(q2n−1, q2n−2, q, 2) is constructed by using the action of a large subgroup of PGL(n + 1, q2) on a set of non degenerate Hermitian varieties in PG(n, q2).
متن کاملComplete Spans on Hermitian Varieties
Let L be a general linear complex in PG(3, q) for any prime power q. We show that when G F(q) is extended to G F(q2), the extended lines of L cover a non-singular Hermitian surface H ∼= H(3, q2) of PG(3, q2). We prove that if S is any symplectic spread PG(3, q), then the extended lines of this spread form a complete (q2 +1)-span of H . Several other examples of complete spans of H for small val...
متن کاملFunctional codes arising from quadric intersections with Hermitian varieties
We investigate the functional code Ch(X) introduced by G. Lachaud [10] in the special case where X is a non-singular Hermitian variety in PG(N, q2) and h = 2. In [4], F. Edoukou solved the conjecture of Sørensen [11] on the minimum distance of this code for a Hermitian variety X in PG(3, q2). In this paper, we will answer the question about the minimum distance in general dimension N , with N <...
متن کاملCaps on Hermitian varieties and maximal curves
A lower bound for the size of a complete cap of the polar space H(n, q2) associated to the non-degenerate Hermitian variety Un is given; this turns out to be sharp for even q when n = 3. Also, a family of caps of H(n, q2) is constructed from Fq2-maximal curves. Such caps are complete for q even, but not necessarily for q odd.
متن کاملCharacterizations of Hermitian varieties by intersection numbers
In this paper, we give characterizations of the classical generalized quadrangles H(3, q2) and H(4, q2), embedded in PG(3, q2) and PG(4, q2), respectively. The intersection numbers with lines and planes characterize H(3, q2), and H(4, q2) is characterized by its intersection numbers with planes and solids. This result is then extended to characterize all hermitian varieties in dimension at leas...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2003
ISSN: 1370-1444
DOI: 10.36045/bbms/1070645802