北京大学学报(自然科学版)

一族新的可分差集

邓映蒲   

  1. 北京大学数学科学学院数学系,北京,100871
  • 收稿日期:2001-04-04 出版日期:2002-05-20 发布日期:2002-05-20

A New Family of Divisible Difference Sets

DENG Yingpu   

  1. Department of Mathematics, School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:2001-04-04 Online:2002-05-20 Published:2002-05-20

摘要: 给出了经典的仿射相对差集的一个特征标方法的证明。构造了一族新的可分差集,具有参数 ((qn-1)/(q-1), q-1, q(n-1)-1, q(n-1)-1, q(n-2)-1), 其中n≥2, q为素数幂。

关键词: 相对差集, 可分差集, 特征标, Gauss和, 反演公式

Abstract: It is given that an another proof for the classical affine relative difference set by using Gauss sums, and we construct a new family of divisible difference sets with parameters ((qn-1)/(q-1), q-1, q(n-1)-1, q(n-1)-1, q(n-2)-1), where n≥2, q is a power of a prime.

Key words: relative difference sets, divisible difference sets, character, Gauss sums, inversion formula

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