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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