ISSN 1002-1027  CN 11-2952/G2

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

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.