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 / Ceria, Michela; Cossidente, Antonio; Marino, Giuseppe; Pavese, Francesco. - In: DESIGNS, CODES AND CRYPTOGRAPHY. - ISSN 0925-1022. - STAMPA. - 91:3(2023), pp. 1095-1110. [10.1007/s10623-022-01141-0]
On near-MDS codes and caps
Ceria, Michela;Pavese, Francesco
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.File in questo prodotto:
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