| 引用本文： |
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杨建效.不相交差族(pn,4,1)-DDF的存在性[J].广西科学,2008,15(3):218-220. [点击复制]
- YANG Jian-xiao.The Existence of (pn, 4, 1) Disjoint Difference Families[J].Guangxi Sciences,2008,15(3):218-220. [点击复制]
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| 摘要: |
| 利用乘法特征和的Weil定理,结合计算机搜索来构造不相交差族,证明不相交差族(pn,4,1)-DDF的存在性,其中p≡1(mod12)为质数且n ≥ 1. |
| 关键词: 差族 不相交差族 特征和 |
| DOI： |
| 投稿时间：2007-03-14 |
| 基金项目:国家自然科学基金项目(10561002)资助 |
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| The Existence of (pn, 4, 1) Disjoint Difference Families |
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YANG Jian-xiao
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| (Shaanxi Railway Engineering Professional Technology Institute, Weinan, Shaanxi, 714000, China) |
| Abstract: |
| By using Weil's theorem on character sum estimates and constructing disjoint difference families with computer, it is proved that there exists a (pn, 4, 1)-DDF, where p≡1 (mod12)is a prime number and n ≥ 1. |
| Key words: difference family disjoint difference family character sum |
