Cross-Correlation Properties of Cyclotomic Sequences

  • Authors:

  • Kai Cai;Rongquan Feng;Zhiming Zheng

  • Affiliations:

  • The authors are with the LMAM, School of Mathematical Sciences, Peking University, Beijing, China, 100871. E-mail: caik@tsinghua.edu.cn, E-mail: fengrq@math.pku.edu.cn, E-mail: zzheng@math.pku.edu ...;The authors are with the LMAM, School of Mathematical Sciences, Peking University, Beijing, China, 100871. E-mail: caik@tsinghua.edu.cn, E-mail: fengrq@math.pku.edu.cn, E-mail: zzheng@math.pku.edu ...;The authors are with the LMAM, School of Mathematical Sciences, Peking University, Beijing, China, 100871. E-mail: caik@tsinghua.edu.cn, E-mail: fengrq@math.pku.edu.cn, E-mail: zzheng@math.pku.edu ...

  • Venue:
  • IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
  • Year:
  • 2007

Quantified Score

Hi-index 0.06

Visualization

Abstract

Sequences with good correlation properties are widely used in engineering applications, especially in the area of communications. Among the known sequences, cyclotomic families have the optimal autocorrelation property. In this paper, we decide the cross-correlation function of the known cyclotomic sequences completely. Moreover, to get our results, the relations between the multiplier group and the decimations of the characteristic sequence are also established for an arbitrary difference set.