Constructions for rotational Steiner quadruple systems

Constructions for rotational Steiner quadruple systems
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DOI:
10.1002/jcd.20202
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发表时间:
2009-09
影响因子:
0.7
通讯作者:
Tao Feng;Yanxun Chang;L. Ji
Tao Feng;Yanxun Chang;L. Ji
中科院分区:
数学3区
文献类型:
--
作者:
Tao Feng;Yanxun Chang;L. Ji

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给出了具有非平凡乘子自同构的p+ 1阶旋转Steiner四重系统的一个直接构造,其中p≡13 (mod24)是素数。并给出了两种改进的产品结构。通过这些构造,推广了旋转斯坦纳四重系统的已知存在性结果。©2009 Wiley期刊公司[J] .中国机械工程,2009,(3):1 - 4
A direct construction for rotational Steiner quadruple systems of order p+ 1 having a nontrivial multiplier automorphism is presented, where p≡13 (mod24) is a prime. We also give two improved product constructions. By these constructions, the known existence results of rotational Steiner quadruple systems are extended. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 353–368, 2009