Cyclotomy, Gauss Sums, Difference Sets and Strongly Regular Cayley Graphs

机译：开环，高斯和，差集和强正则Cayley图

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We survey recent results on constructions of difference sets and strongly regular Cayley graphs by using union of cyclotomic classes of finite fields. Several open problems are raised.

机译：我们通过使用有限域的圈级类的并集来调查差分集和强规则Cayley图的构造的最新结果。提出了几个未解决的问题。

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来源
《Sequences and their applications - SETA 2012.》|2012年|p.245-256|共12页
会议地点 Waterloo(CA);Waterloo(CA)
作者
Qing Xiang;
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作者单位

Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;计算技术、计算机技术;
关键词
cyclotomy; difference set; gauss sum; strongly regular graph;

机译：切开术差异集高斯总和强正则图;

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专利

1. Strongly regular Cayley graphs, skew Hadamard difference sets, and rationality of relative Gauss sums [J] . Momihara K. European journal of combinatorics . 2013,第4期

机译：强规则Cayley图，偏Hadamard差集和相对高斯和的合理性
2. Constructions of strongly regular Cayley graphs using index four Gauss sums [J] . Gennian Ge, Qing Xiang, Tao Yuan Journal of algebraic combinatorics . 2013,第2期

机译：使用索引四高斯和构造强正则Cayley图
3. Constructions of strongly regular cayley graphs using even index gauss sums [J] . Wu F. Journal of combinatorial designs . 2013,第9a10期

机译：使用偶数索引高斯和构造强正则cayley图
4. Cyclotomy, Gauss Sums, Difference Sets and Strongly Regular Cayley Graphs [C] . Qing Xiang International Conference on Sequences and Their Applications . 2012

机译：紧固，高斯和平，差异集和强烈常规Cayley图表
5. Strongly regular graphs, association schemes and gauss sums. [D] . Wu, Fan. 2014

机译：强规则图，关联方案和高斯和。
6. A New Sum Analogous to Gauss Sums and Its Fourth Power Mean [O] . Shaofeng Ru, Wenpeng Zhang -1

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7. CYCLOTOMY, GAUSS SUMS, DIFFERENCE SETS AND STRONGLY REGULAR CAYLEY GRAPHS [O] . Qing Xiang 2013

机译：循环法，高斯求和，差分集和严格的Cayley图

Cyclotomy, Gauss Sums, Difference Sets and Strongly Regular Cayley Graphs

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