On 2-(n2, 2n, 2n-1) designs with three intersection numbers

被引：4
|
作者：
Caggegi, Andrea [1 ]
Falcone, Giovanni [1 ]
机构：
[1] Univ Palermo, Dipartimento Metodi & Modelli Matemat, I-90128 Palermo, Italy
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2007年 / 43卷 / 01期
关键词：
2-designs;
D O I：
10.1007/s10623-007-9051-z
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The simple incidence structure D(A,2), formed by the points and the unordered pairs of distinct parallel lines of a finite affine plane A = (P, L) of order n > 4, is a 2-(n(2), 2n, 2n - 1) design with intersection numbers 0, 4, n. In this paper, we show that the converse is true, When n >= 5 is an odd integer.
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页码：33 / 40
页数：8
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