On the p-Rank of Quadratic Residue Partial Difference Sets

Acta Scientiarum Naturalium Universitatis Pekinensis

Previous Articles Next Articles

On the p-Rank of Quadratic Residue Partial Difference Sets

DENG Yingpu

Department of Mathematics, School of Mathematical Sciences, Peking University, Beijing, 100871

Received:2002-03-21 Online:2003-01-20 Published:2003-01-20

关于二次剩余部分差集的p-秩

邓映蒲

北京大学数学科学学院数学系，北京，100871

Abstract

Abstract: The author has obtained a result about the p-rank of partial difference sets: let q≡1 (mod 4) be a prime power, p be a prime such that p|(q-1)/4. Then the p-rank of the quadratic residue partial difference set in the field GF (q) is (q-1)/2.

Key words: partial difference set, characters, rank

摘要： 得到部分差集的p-秩的一个结果：设q≡1(mod 4)是素数幂，p是素数使得p|(q-1)/4。则有限域GF (q)中的二次剩余部分差集的p-秩是(q-1)/2.

关键词: 部分差集, 特征标, 秩

CLC Number:

O157

DENG Yingpu. On the p-Rank of Quadratic Residue Partial Difference Sets[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

邓映蒲. 关于二次剩余部分差集的p-秩[J]. 北京大学学报（自然科学版）.

[1]	LI Hao, KANG Liujiang, LUO Sida, SUN Huijun, WU Jianjun. Optimal Road Congestion Charging Model in Mixed Driving Environment of Connected Autonomous Vehicle and Human-Driven Vehicle [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2023, 59(5): 747-756.
[2]	ZHANG Xinlu, LI Xiao, YANG Yating, WANG Lei, DONG Rui. Analysis of Bi-directional Reranking Model for Uyghur-Chinese Neural Machine Translation [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2020, 56(1): 31-38.
[3]	QIU Yu, CHENG Li, Daniyal Alghazzawi. Semantic Search on Non-Factoid Questions for Domain-Specific Question Answering Systems [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2019, 55(1): 55-64.
[4]	YANG Liang, ZHOU Fengqing, LIN Yuan, LIN Hongfei, XU Kan. Research on Movie Media Website for Ranking Prediction [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2019, 55(1): 65-74.
[5]	Qingsheng LI, Qiang XU, Jianguo XIAO, Quan LIU, Jiefang ZHANG. A Structure and Style Model for Chinese Character Dynamic Generation [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2017, 53(2): 219-229.
[6]	WU Yunfang, WAN Fuqiang, XU Yifeng, Lü Xueqiang. A New Ranking Method for Chinese Discourse Tree Building [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2016, 52(1): 65-74.
[7]	CHEN Xudong, LIAN Zhouhui, TANG Yingmin, XIAO Jianguo. A Benchmark for Stroke Extraction of Chinese Characters [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2016, 52(1): 49-57.
[8]	MO Liping, ZHOU Kaiqing. A Dynamical Glyph Generation Method of Xiangxi Folk Hmong Characters and Its Implementation Approach [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2016, 52(1): 141-147.
[9]	WANG Boli,SHI Xiaodong,CHEN Yidong,REN Wenyao,YAN Siyao. On the Simplification of Chinese Characters in Taiwan:A Perspective of Corpus Linguistics [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2015, 51(2): 249-254.
[10]	GONG Zhengxian,LI Liangyou. Document-Level Automatic Machine Translation Evaluation Based on Weighted Lexical Cohesion [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2014, 50(1): 173-179.
[11]	LIU Dong,LI Luyuan,WANG Yongtao,TANG Zhi. An Unsupervised Method for Chinese Speech Text Localization in Comic Images [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2014, 50(1): 25-32.
[12]	ZHONG Zhaoman,LIU Zongtian,LI Cunhua. Event Ontology Model and Event Class Ranking [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2013, 49(2): 234-240.
[13]	REN Kejiang,ZHANG Shaowu,LIN Hongfei. A Document’s Placenames-Aware Document Ranking for GIR [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2013, 49(2): 219-226.
[14]	TU Xinhui,HE Tingting,LI Fang,WANG Jianwen. Learning to Rank Concept Annotation for Text [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2013, 49(1): 153-158.
[15]	HUANG Xiaojiang,WAN Xiaojun,XIAO Jianguo. Comparative News Summarization Using Co-ranking Graph Model [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2013, 49(1): 31-38.

On the p-Rank of Quadratic Residue Partial Difference Sets

关于二次剩余部分差集的p-秩

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics