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Proceedings of Annual Conference of China Institute of Communications (CIC 2009 E-BOOK)

Guangzhou,China,11.26-11.27，2009

ISBN: 978-1-935068-10-5 Scientific Research Publishing, USA

E-Book 604pp Pub. Date: March 2010

Category: Computer Science & Communications

Price: $80

Title: A Family of Binary Sequences with Large Linear Span
Source: Proceedings of Annual Conference of China Institute of Communications (CIC 2009 E-BOOK) (pp 519-523)
Author(s): Jun Chen, Information Security Institute, Chengdu University of Information Technology, 610225, Chengdu, China
Yun Chen, Information Security Institute, Chengdu University of Information Technology, 610225, Chengdu, China
Abstract: A new family of binary sequences S(r) based on d-form function and Niho sequence is constructed for n=4m, where gcd(2m-1,r)=1. It is shown that the total number of the sequences with period 2n-1 is 2n and maximum correlation of the family is 2n/2+2-1. Especially, the linear span of the new sequences is proved to be larger than n2n/2-3, when r=2m-1-1. Compared to the sequences family constructed in literature [14], the new family in this paper has larger linear span under the conditions of the same maximum correlation and family size..
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