On the p-Rank of Quadratic Residue Partial Difference Sets

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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）.

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URL: https://xbna.pku.edu.cn/EN/

https://xbna.pku.edu.cn/EN/Y2003/V39/I1/17

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On the p-Rank of Quadratic Residue Partial Difference Sets

关于二次剩余部分差集的p-秩

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