m-Systems and Partial m-Systemsof Polar Spaces
Designs, Codes and Cryptography - Special issue dedicated to Hanfried Lenz
Designs, Codes and Cryptography - Special issue containing papers presented at the Second Upper Michigan Combinatorics Workshop on Designs, Codes and Geometries
Oval Designs in Desarguesian Projective Planes
Designs, Codes and Cryptography - Special issue containing papers presented at the Second Upper Michigan Combinatorics Workshop on Designs, Codes and Geometries
A Bose-Burton Theorem for Elliptic Polar Spaces
Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
Hyperplane Sections of Kantor's Unitary Ovoids
Designs, Codes and Cryptography
Transitive ovoids of the Hermitian surface of PG(3, q2), q even
Journal of Combinatorial Theory Series A
Partial Ovoids in Classical Finite Polar Spaces
Designs, Codes and Cryptography
Small Point Sets that Meet All Generators of W(2n+1,q)
Designs, Codes and Cryptography
Blocking Structures of Hermitian Varieties
Designs, Codes and Cryptography
Partial permutation decoding for codes from finite planes
European Journal of Combinatorics
Quasi-Cyclic Codes from a Finite Affine Plane
Designs, Codes and Cryptography
Blocking All Generators of Q+(2n + 1,3), n ≥ 4
Designs, Codes and Cryptography
Characterization results on small blocking sets of the polar spaces Q+(2n + 1, 2) and Q+(2n + 1, 3)
Designs, Codes and Cryptography
Partial ovoids and partial spreads in symplectic and orthogonal polar spaces
European Journal of Combinatorics
Designs, Codes and Cryptography
Bases of Minimum-Weight Vectors for Codes from Designs
Finite Fields and Their Applications
Desarguesian and Unitary complete partial ovoids
Journal of Algebraic Combinatorics: An International Journal
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We determine the p-rank of the incidence matrix of hyperplanes of PG(n, pe) and points of a nondegenerate quadric. This yields new bounds for ovoids and the size of caps in finite orthogonal spaces. In particular, we show the nonexistence of ovoids in O^+_{10}(2^e), O_{10}^+(3^e), O_9(5^e), O^+_{12}(5^e) and O^+_{12}(7^e). We also give slightly weaker bounds for more general finite classical polar spaces. Another application is the determination of certain explicit bases for the code of PG(2, p) using secants, or tangents and passants, of a nondegenerate conic.