Classification of Cyclic Steiner Quadruple Systems
Classification of Cyclic Steiner Quadruple Systems
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DOI：
10.1002/jcd.21530
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发表时间：
2017-03
影响因子：
0.7
通讯作者：
Yanxun Chang;Bingli Fan;Tao Feng;D. Holt;P. Östergård
中科院分区：
文献类型：
--
作者：
Yanxun Chang;Bingli Fan;Tao Feng;D. Holt;P. Östergård
研究了循环斯坦纳四重系统的分类问题。计算表明，26阶和28阶设计的同构类数分别为52,170个和1,028,387个。进一步证明了当p为素数时，2p阶csqs是同构的，如果它们是乘子等价的。此外，没有一个小于或等于38阶的csqs是同构的，但不是乘数相等的。
The problem of classifying cyclic Steiner quadruple systems (CSQSs) is considered. A computational approach shows that the number of isomorphism classes of such designs with orders 26 and 28 is 52,170 and 1,028,387, respectively. It is further shown that CSQSs of order 2p, where p is a prime, are isomorphic iff they are multiplier equivalent. Moreover, no CSQSs of order less than or equal to 38 are isomorphic but not multiplier equivalent.