Acta Scientiarum Naturalium Universitatis Pekinensis

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On the p-Rank of Quadratic Residue Partial Difference Sets

DENG Yingpu   

  1. Department of Mathematics, School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:2002-03-21 Online:2003-01-20 Published:2003-01-20



  1. 北京大学数学科学学院数学系,北京,100871

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,

CLC Number: