Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (29): 110-112.

• 网络、通信、安全 • Previous Articles     Next Articles

Cross-correlation properties between GMW and Hyperoval sequences

CHONG Jinfeng1,CAO Hao2,ZHUO Zepeng1   

  1. 1.School of Mathematical Science,Huaibei Normal University,Huaibei,Anhui 235000,China
    2.College of Science,Anhui Science and Technology University,Fengyang,Anhui 233100,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-10-11 Published:2011-10-11

GMW序列和Hyperoval序列的互相关性

崇金凤1,曹 浩2,卓泽朋1   

  1. 1.淮北师范大学 数学科学学院,安徽 淮北 235000
    2.安徽科技学院 理学院,安徽 凤阳 233100

Abstract: For odd n,the cross-correlation functions between Gordon-Mills-Welch(GMW) sequences and Hyperoval sequences(decimated Hyperoval sequences with one particular exponent) are investigated.In this correspondence,it shows that the calculation of the cross-correlation functions between GMW sequences and Hyperoval sequences(decimated Hyperoval sequences with one particular exponent) is related to the calculation of the cross-correlation between m-sequences and their decimations.

Key words: cross-correlation function, perfect sequences, decimation, Gordon-Mills-Welch sequence, Hyperoval sequence

摘要: 在n为奇数的情形下,研究了(GMW)序列和Hyperoval序列及其某一采样序列间的互相关函数。研究表明:GMW序列和Hyperoval序列及其某一采样序列间的互相关函数都可转化为m-序列与其采样序列间的互相关函数。

关键词: 互相关函数, 完备序列, 采样, Gordon-Mills-Welch(GMW)序列, Hyperoval序列