Paley type sets from cyclotomic classes and Arasu-Dillon-Player difference sets

Yu Qing Chen; Tao Feng

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Paley type sets from cyclotomic classes and Arasu-Dillon-Player difference sets

机译：圆环类的Paley类型集和Arasu-Dillon-Player差异集

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摘要

In this paper, we present constructions of abelian Paley type sets by using multiplicative characters of finite fields and Arasu-Dillon-Player difference sets. The constructions produce many new Paley type sets and their configurations that were previous unknown in our classification of Paley type sets in finite fields of small orders.

机译：在本文中，我们通过使用有限域的乘性和Arasu-Dillon-Player差分集来构造Abelian Paley类型集。这些构造产生了许多新的Paley类型集，并且它们的配置以前在我们在小阶有限域中对Paley类型集的分类中是未知的。

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来源
《Designs, Codes and Crytography》 |2015年第3期|581-600|共20页
作者
Yu Qing Chen; Tao Feng;
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作者单位

Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA;

Department of Mathematics, Zhejiang University, Hangzhou 310027, China;

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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
Difference set; Paley set; Paley type set; Paley type partial difference set; Skew Hadamard difference set; Singer difference set;

机译：差异集;佩利套装;佩利类型集;Paley类型偏差集;偏斜Hadamard差集;歌手差异集;

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1. On some new difference systems of sets constructed from the cyclotomic classes of order 12 [J] . Qi Minglong, Xiong Shengwu, Yuan Jingling, Discrete mathematics . 2017,第10期

机译：关于从紧固阶级12的套装的一些新差异系统
2. On Some New Families of Almost Difference Sets Constructed From Cyclotomic Classes of Order 12 [J] . Qi Minglong, Xiong Shengwu, Yuan Jingling, Communications Letters, IEEE . 2016,第1期

机译：关于由12阶环原子类构造的几乎新的差分集的新族
3. SOME NEW CONSTRUCTIONS OF THE ALMOST DIFFERENCE SET PAIRS BASED ON GENERALIZED CYCLOTOMIC CLASSES [J] . Yan-Guo Jia, Ying Shen, Xiu-Min Shen, International Journal of Innovative Computing Information and Control . 2016,第2期

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4. On The Differences Between Song and Speech Emotion Recognition: Effect of Feature Sets, Feature Types, and Classifiers [C] . Bagus Tris Atmaja, Masato Akagi IEEE Region 10 Conference . 2020

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5. Divisible difference sets and difference sets from cyclotomy. [D] . Liu, Kan. 1999

机译：可分差异集和切开术的差异集。
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. Paley type group schemes from cyclotomic classes and Arasu-Dillon-Player difference sets [O] . Chen, Yu Qing, Feng, Tao 2012

机译：来自分圆类和arasu-Dillon-player的paley型群体方案差异集

Paley type sets from cyclotomic classes and Arasu-Dillon-Player difference sets

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