Acta Metallurgica Sinica(English letters) ›› 2007, Vol. 14 ›› Issue (4): 53-56.doi: 1005-8885 (2007) 04-0053-04

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New families of p-ary sequences with low correlation and large linear span

TONG Xin; WEN Qiao-yan   

  1. State key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications
  • Received:2006-09-27 Revised:1900-01-01 Online:2007-12-24
  • Contact: TONG Xin

Abstract:

This article presents a new family of p-ary sequences. The proposed sequences are proved to have not only low correlation property, but also large linear span and large family size. Furthermore, it shows that the new family of sequences contains Tang’s construction as a subset if m-sequences are excluded from both constructions.

Key words:

p-ary sequences; correlation function; family size; linear span; quadratic form