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 2q2-q±2q+2 are exhibited.
On near–MDS codes and caps / Ceria, M., Cossidente, A., Marino, G., Pavese, F.. - In: DESIGNS, CODES AND CRYPTOGRAPHY. - ISSN 0925-1022. - 91:3(2023), pp. 1095-1110. [10.1007/s10623-022-01141-0]
On near–MDS codes and caps
Marino G.;
2023
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 2q2-q±2q+2 are exhibited.File in questo prodotto:
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