On near-MDS codes and caps

被引：3

作者：

Ceria, Michela ^{[1
]}

Cossidente, Antonio ^{[2
]}

Marino, Giuseppe ^{[3
]}

Pavese, Francesco ^{[1
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Via Orabona 4, I-70125 Bari, Italy

[2] Univ Basilicata, Dipartimento Matemat Informat & Econ, I-85100 Potenza, Italy

[3] Univ Napoli Federico II, Dipartimento Matemat & Applicaz Renato Caccioppol, Cupa Nuova Cintia 21, I-80126 Naples, Italy

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2023年 / 91卷 / 03期

关键词：

Near-MDS code; Cap; Ovoid; Twisted cubic; OVOIDS; 4-SPACE; EVEN;

D O I：

10.1007/s10623-022-01141-0

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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.

引用

页码：1095 / 1110

页数：16

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