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

Andrea Caggegi; Giovanni Falcone

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

机译：在具有三个交叉点编号的2-（n〜2,2n，2n-1）个设计上

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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.

机译：由点和有限仿射平面A =（P，L）的n> 4阶的不同平行线的点和无序对形成的简单入射结构D（A，2）是2-（n〜2， 2n，2n-1）设计交叉点编号为0,4，n。在本文中，我们证明当n≥5为奇数整数时，反之亦然。

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来源
《Designs, Codes and Crytography》 |2007年第1期|p.33-40|共8页
作者
Andrea Caggegi; Giovanni Falcone;
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作者单位

Dipartimento di Metodi e Modelli Matematici, University of Palevmo, Viale delle Scienze, Ed. 8, I-90128 Palermo, Italy;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
2-designs;

机译：2个设计;

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

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