FAMILIES OF p-ARY SEQUENCES WITH LOW CORRELATION AND LARGE LINEAR COMPLEXITY
This paper generalizes a method of generating shift sequences in the interleaved construc- tion proposed by Gong. With the new shift sequences, some new families of p-ary sequences with desired properties can be obtained. A lower bound on the number of new families of binary sequences is also establ...
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| Published in | Journal of systems science and complexity Vol. 27; no. 6; pp. 1305 - 1319 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Beijing
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
01.12.2014
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| Subjects | |
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| Abstract | This paper generalizes a method of generating shift sequences in the interleaved construc- tion proposed by Gong. With the new shift sequences, some new families of p-ary sequences with desired properties can be obtained. A lower bound on the number of new families of binary sequences is also established. |
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| AbstractList | This paper generalizes a method of generating shift sequences in the interleaved construc- tion proposed by Gong. With the new shift sequences, some new families of p-ary sequences with desired properties can be obtained. A lower bound on the number of new families of binary sequences is also established. This paper generalizes a method of generating shift sequences in the interleaved construction proposed by Gong. With the new shift sequences, some new families of p -ary sequences with desired properties can be obtained. A lower bound on the number of new families of binary sequences is also established. |
| Author | CAI Han ZENG Xiangyong HU Lei |
| AuthorAffiliation | Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, China. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China |
| Author_xml | – sequence: 1 givenname: Han surname: Cai fullname: Cai, Han organization: Faculty of Mathematics and Statistics, Hubei University – sequence: 2 givenname: Xiangyong surname: Zeng fullname: Zeng, Xiangyong email: xiangyongzeng@aliyun.com organization: Faculty of Mathematics and Statistics, Hubei University – sequence: 3 givenname: Lei surname: Hu fullname: Hu, Lei organization: State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences |
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| Cites_doi | 10.1017/CBO9780511546907 10.1109/TIT.1982.1056589 10.1109/TIT.2002.804044 10.1007/11821045 10.1109/TIT.2009.2039159 10.1109/TIT.2007.899528 10.1109/TIT.1969.1054260 10.1109/18.370141 10.1109/TIT.1974.1055219 10.1109/18.108256 10.1109/TIT.1968.1054106 10.1109/18.312181 10.1109/TIT.2010.2081170 10.1109/PROC.1980.11697 |
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| Copyright | Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2014 |
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| Keywords | low correlation cross-correlation Auto-correlation linear complexity ary sequence |
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| Notes | 11-4543/O1 Auto-correlation, cross-correlation, linear complexity, low correlation, p-ary sequence. This paper generalizes a method of generating shift sequences in the interleaved construc- tion proposed by Gong. With the new shift sequences, some new families of p-ary sequences with desired properties can be obtained. A lower bound on the number of new families of binary sequences is also established. |
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| PublicationTitle | Journal of systems science and complexity |
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| PublicationYear | 2014 |
| Publisher | Academy of Mathematics and Systems Science, Chinese Academy of Sciences |
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| References_xml | – volume-title: Handbook of Coding Theory year: 1998 ident: 1243_CR2 contributor: fullname: T Helleseth – volume-title: Signal Design for Good Correlation for Wireless Communication, Cryptography, and Radar year: 2005 ident: 1243_CR1 doi: 10.1017/CBO9780511546907 contributor: fullname: S W Golomb – volume: 28 start-page: 858 issue: 11 year: 1982 ident: 1243_CR9 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.1982.1056589 contributor: fullname: J D Olsen – volume: 48 start-page: 2847 issue: 11 year: 2002 ident: 1243_CR10 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.2002.804044 contributor: fullname: G Gong – volume-title: Proceedings of the International Workshop on Coding and Cryptography year: 2006 ident: 1243_CR13 doi: 10.1007/11821045 contributor: fullname: X Zeng – volume: 56 start-page: 1278 issue: 3 year: 2010 ident: 1243_CR12 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.2009.2039159 contributor: fullname: X H Tang – volume: 53 start-page: 2587 issue: 7 year: 2007 ident: 1243_CR7 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.2007.899528 contributor: fullname: X Zeng – volume: 15 start-page: 122 issue: 1 year: 1969 ident: 1243_CR16 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.1969.1054260 contributor: fullname: J L Massey – volume: 41 start-page: 400 issue: 3 year: 1995 ident: 1243_CR14 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/18.370141 contributor: fullname: G Gong – volume: 20 start-page: 397 issue: 3 year: 1974 ident: 1243_CR8 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.1974.1055219 contributor: fullname: L R Welch – volume: 38 start-page: 120 issue: 1 year: 1992 ident: 1243_CR17 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/18.108256 contributor: fullname: M Antweiler – volume: 14 start-page: 154 issue: 1 year: 1968 ident: 1243_CR4 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.1968.1054106 contributor: fullname: R Gold – volume-title: Algehmic Coding Theory year: 1968 ident: 1243_CR15 contributor: fullname: E R Berlekamp – volume: 40 start-page: 532 issue: 3 year: 1994 ident: 1243_CR3 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/18.312181 contributor: fullname: S Boztas – volume: 56 start-page: 6398 issue: 12 year: 2010 ident: 1243_CR11 publication-title: IEEE Trans. Inf. Theory doi: 10.1109/TIT.2010.2081170 contributor: fullname: X H Tang – volume-title: Combinatorial Mathematics and Its Applications year: 1969 ident: 1243_CR5 contributor: fullname: T Kasami – volume: 68 start-page: 593 issue: 3 year: 1980 ident: 1243_CR6 publication-title: Proc. IEEE doi: 10.1109/PROC.1980.11697 contributor: fullname: D V Sarwate |
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| SubjectTerms | Complex Systems Control Mathematics Mathematics and Statistics Mathematics of Computing Operations Research/Decision Theory p元序列 Statistics Systems Theory 二进制序列 作者 家庭 相关特性 移位序列 线性 |
| Title | FAMILIES OF p-ARY SEQUENCES WITH LOW CORRELATION AND LARGE LINEAR COMPLEXITY |
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