DESIGNS WITH BLOCK-SIZE-6 IN PROJECTIVE-PLANES OF CHARACTERISTIC-2

被引:1
作者
BIERBRAUER, J [1 ]
机构
[1] UNIV HEIDELBERG,INST MATH,W-6900 HEIDELBERG,GERMANY
关键词
D O I
10.1007/BF02349958
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct simple 3-designs and 4-designs of block-size 6 in the classical projective planes PG(2, q), q a power of 2. All of our designs are invariant under the projective group PGL(3, q). Aside from several infinite series of 3-designs we get some relatively small designs of independent interest, e.g. designs with parameters 4-(21,6,16) and 4-(73,6,330) defined in the planes of orders 4 and 8, respectively.
引用
收藏
页码:207 / 224
页数:18
相关论文
共 4 条
[1]  
Alltop W. O., 1969, J COMBINAT THEORY, V6, P320
[2]  
BIERBRAUER J, IN PRESS J COMB TH A
[3]  
BIERBRAUER J, UNPUB NUCLEAR 6 ARCS
[4]  
Witt E., 1938, ABH MATH SEM HAMBURG, V12, P265, DOI DOI 10.1007/BF02948948