Cyclotomic constructions of skew Hadamard difference sets
Cyclotomic constructions of skew Hadamard difference sets
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DOI：
10.1016/j.jcta.2011.08.007
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发表时间：
2011-01
期刊：
影响因子：
--
通讯作者：
Tao Feng;Qing Xiang
中科院分区：
文献类型：
--
作者：
Tao Feng;Qing Xiang
我们重新审视从切分类构造差分集的旧思想。利用N阶fqn =2p1m的环切类的并集，在有限域的可加群上给出了两种偏Hadamard差分集的构造，其中p1为素数，m为正整数。我们的主要工具是指数2高斯和，而不是环切数。
We revisit the old idea of constructing difference sets from cyclotomic classes. Two constructions of skew Hadamard difference sets are given in the additive groups of finite fields by using union of cyclotomic classes of Fqof order N=2p1m, where p1is a prime and m a positive integer. Our main tools are index 2 Gauss sums, instead of cyclotomic numbers.