On Jacobi sums, difference sets and partial difference sets in Galois domains

Ott Udo

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On Jacobi sums, difference sets and partial difference sets in Galois domains

机译：关于Jacobi和，Galois域中的差分集和偏差分集

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The problems studied in this paper resemble in spirit partially the following two theorems due to Stanton and Sprott (Can J Math 10:73-77, 1958) and Whiteman (Ill J Math 6: 107-121, 1962) and are based on ideas given in Storer (Cyclotomy and difference sets. Lectures in advanced mathematics, 1967).

机译：本文研究的问题在本质上类似于Stanton和Sprott（Can J Math 10：73-77，1958）和Whiteman（Ill J Math 6：107-121，1962）的以下两个定理，它们是基于思想的由Storer提供（循环切分法和差异集。高级数学讲座，1967年）。

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来源
《Designs, Codes and Crytography》 |2016年第2期|241-281|共41页
作者
Ott Udo;
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作者单位

TU Braunschweig, Dept Math, Braunschweig, Germany;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Cyclotomy; Jacobi sums; Difference sets and partial difference sets; Strongly regular graphs;

机译：切开;雅可比求和;差分集和偏差集;强正则图;

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1. Gauss Sums, Jacobi Sums, and p-Ranks of Cyclic Difference Sets [J] . Ronal Evans, Henk D. L. Hollmann, Christian Krattenthaler, Journal of Combinatorial Theory, Series A . 1999,第1期

机译：高斯求和，雅可比求和和循环差集的p-Ranks
2. Jacobi-like sums and difference sets with Singer parameters [J] . Dillon J.F., Kashyap N. The Australasian journal of combinatorics . 2013,第Null期

机译：具有Singer参数的类Jacobi求和和差集
3. Perfect difference systems of sets and Jacobi sums [J] . Fuji-Hara Ryoh, Momihara Koji, Yamada Mieko Discrete mathematics . 2009,第12期

机译：集和Jacobi和的完美差分系统
4. Many Sets Have More Sums Than Differences [C] . Greg Martin, Kevin OBryant CRM--Clay School on Additive Combinatorics . 2007

机译：许多套装比差异更多的总和
5. Constructing difference sets and partial difference sets using Galois rings. [D] . Polhill, John Bowen, Jr. 1999

机译：使用Galois环构造差异集和部分差异集。
6. Genetic differences in fruit-set patterns are determined by differences in fruit sink strength and a source : sink threshold for fruit set [O] . A. M. Wubs, Y. Ma, E. Heuvelink, 2009

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7. Constructions of Partial Difference Sets and Relative Difference Sets Using Galois Rings II [O] . Qing Chen Yu, Ray-Chaudhuri D.K., Xiang Qing 1996

机译：用伽罗瓦环构造偏差集和相对差集II

On Jacobi sums, difference sets and partial difference sets in Galois domains

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