Maximal caps in AG (6,3)

被引：21
|
作者：
Potechin, Aaron [1 ]
机构：
[1] Princeton Univ, Princeton, NJ 08544 USA
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2008年 / 46卷 / 03期
关键词：
finite geometry; coding theory; caps;
D O I：
10.1007/s10623-007-9132-z
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We show that there are no complete 44-caps in AG(5, 3). We then use this result to prove that the maximal size for a cap in AG(6, 3) is equal to 112, and that the 112-caps in AG(6, 3) are unique up to affine equivalence.
引用
收藏
页码：243 / 259
页数：17
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