Some \(p\)-ranks related to Hermitian varieties

DOI10.1016/S0378-3758(96)00020-1zbMath0888.51007OpenAlexW2147540017MaRDI QIDQ1361718

G. Eric. Moorhouse

Publication date: 9 September 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(96)00020-1

zbMATH Keywords

incidence matrix\(p\)-rankHermitian varietypolar spacesexistence of ovoidssize of caps

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial structures in finite projective spaces (51E20)

Related Items (7)

Permutable polarities and a class of ovoids of the Hermitian surface ⋮ Finite field Nullstellensatz and rational normal scrolls ⋮ Linear and quadratic sections of Grassmannians over a finite field ⋮ New non-existence proofs for ovoids of Hermitian polar spaces and hyperbolic quadrics ⋮ Some simple modules for classical groups and \(p\)-ranks of orthogonal and Hermitian geometries. ⋮ On transitive ovoids of finite Hermitian polar spaces ⋮ Transitive ovoids of the Hermitian surface of PG\((3,q ^{2}\)), \(q\) even

Cites Work

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• Semi-partial geometries and spreads of classical polar spaces
• Ovoids and spreads of finite classical polar spaces
• Some \(p\)-ranks related to orthogonal spaces
• On the p-rank of the design matrix of a difference set
• On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry
• On a class of majority-logic decodable cyclic codes

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