The Non-equivalent Circulant D-Optimal Designs for n=2 mod 4, n<=54, n=66

The Non-equivalent Circulant D-Optimal Designs for n=2 mod 4, n<=54, n=66
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n=2 mod 4、n<=54、n=66 的非等价循环 D 最优设计

DOI:
10.1016/0097-3165(94)90035-3
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发表时间:
1994
期刊:
Journal of Combinatorial Theory
影响因子:
--
通讯作者:
A. Kakos
A. Kakos
中科院分区:
--
文献类型:
--
作者:
S. Kounias;C. Koukouvinos;N. Nikolaou;A. Kakos

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给出了n = 2 mod 4、n = 54和n = 66的所有非等价循环D-最优设计,并通过穷举搜索找到。对于n = 18的每一个值都有一个唯一的非等价循环设计,对于n = 26和n = 30,有3个,对于n = 38,有8个,对于n = 42,有31个,对于n = 46,有17个,对于n = 50,有39个,对于n = 54,有48个,对于n = 66,有1025个。这些数据以相应的非对等补充差集的形式列在表格中。大多数设计都是新的。
All non-equivalent circulantD-optimal designs forn≡ 2 mod 4,n⩽ 54 andn= 66 are given and were found by an exhaustive search. There is a unique non-equivalent circulant design for each value ofn⩽ 18, 3 forn= 26 andn= 30, 8 forn= 38, 31 forn= 42, 17 forn= 46, 39 forn= 50, 48 forn= 54, and 1025 forn= 66. These are presented in tables in the form of the corresponding non-equivalent supplementary difference sets. Most of the given designs are new.