On the size of arcs in projective spaces

被引：11

作者：

Ali, AH ^{[1
]}

Hirschfeld, JWP ^{[1
]}

Kaneta, H ^{[1
]}

机构：

[1] OKAYAMA UNIV,FAC SCI,DEPT MATH,OKAYAMA 700,JAPAN

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1995年 / 41卷 / 06期

关键词：

arc; MDS code; normal rational curve; main conjecture;

D O I：

10.1109/18.476237

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The known results on the maximum size of an are in a projective space or equivalently the maximum length of a maximum distance separable linear code are surveyed. It is then shown that this maximum is q + 1 for all dimensions up to q in the cases that q = 11 and q = 13; the result for q = 11 was previously known. The strategy is to first show that a Ii-are in PG(3,11) and a 12-arc in PG(3, 13) are subsets of a twisted cubic, that is, a normal rational curve.

引用

页码：1649 / 1656

页数：8

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