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: On the Linear Span of a Binary Sequence Family with Large Size and Low Correlation
Source: Proceedings of Annual Conference of China Institute of Communications (CIC 2009 E-BOOK) (pp 516-518)
Author(s): Jun Chen, Lab of Information Coding & Transmission, Southwest Jiaotong University, Chengdu, China Information Security Institute, Chengdu University of Information Technology, Chengdu, China
Yun Chen, Information Security Institute, Chengdu University of Information Technology, Chengdu, China
Abstract: For positive number n? 2m, a binary sequence family with period 2n ?1, family size and maximum out-of-phase correlation value 23n 6?2n/2 ?1 ? ) / 7 is proposed, and then an upper bound of the linear spans of these sequences is given. The linear spans of the new sequences are proved to be larger than those of the previously known large families of sequences, and the exact value of the linear span of each sequence are determined, when n ? 2mod 6 , r?(2n/2?1 1 .
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