Several classes of near-MDS sets of PG(3, q) are described. They are obtained either by considering the intersection of an elliptic quadric ovoid and a Suzuki-Tits ovoid of a symplectic polar space W(3, q) or starting from the q + 1 points of a twisted cubic of PG(3, q). As a by-product two classes of complete caps of PG(4, q) of size 2q(2) - q +/- root 2q + 2 are exhibited.

On near–MDS codes and caps

Cossidente A.
Membro del Collaboration Group
;
Marino G.
Membro del Collaboration Group
;
Pavese F.
Membro del Collaboration Group
2023-01-01

Abstract

Several classes of near-MDS sets of PG(3, q) are described. They are obtained either by considering the intersection of an elliptic quadric ovoid and a Suzuki-Tits ovoid of a symplectic polar space W(3, q) or starting from the q + 1 points of a twisted cubic of PG(3, q). As a by-product two classes of complete caps of PG(4, q) of size 2q(2) - q +/- root 2q + 2 are exhibited.
2023
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/173876
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