Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm
Sequences with high linear complexity property are of importance in applications. In this paper, based on the theory of generalized cyclotomy, new classes of quaternary generalized cyclotomic sequences with order 4 and period 2pm are constructed. In addition, we determine their linear complexities o...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/6538970 |
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| _version_ | 1832547008345276416 |
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| author | Pinhui Ke Yan Zhong Shengyuan Zhang |
| author_facet | Pinhui Ke Yan Zhong Shengyuan Zhang |
| author_sort | Pinhui Ke |
| collection | DOAJ |
| description | Sequences with high linear complexity property are of importance in applications. In this paper, based on the theory of generalized cyclotomy, new classes of quaternary generalized cyclotomic sequences with order 4 and period 2pm are constructed. In addition, we determine their linear complexities over finite field F4 and over ℤ4, respectively. |
| format | Article |
| id | doaj-art-5aa49627e57b4fa8b1a67459ef7e613e |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5aa49627e57b4fa8b1a67459ef7e613e2025-02-03T06:46:23ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/65389706538970Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pmPinhui Ke0Yan Zhong1Shengyuan Zhang2Fujian Provincial Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fuzhou, Fujian 350117, ChinaFujian Provincial Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fuzhou, Fujian 350117, ChinaFujian Provincial Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fuzhou, Fujian 350117, ChinaSequences with high linear complexity property are of importance in applications. In this paper, based on the theory of generalized cyclotomy, new classes of quaternary generalized cyclotomic sequences with order 4 and period 2pm are constructed. In addition, we determine their linear complexities over finite field F4 and over ℤ4, respectively.http://dx.doi.org/10.1155/2020/6538970 |
| spellingShingle | Pinhui Ke Yan Zhong Shengyuan Zhang Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm Complexity |
| title | Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm |
| title_full | Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm |
| title_fullStr | Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm |
| title_full_unstemmed | Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm |
| title_short | Linear Complexity of a New Class of Quaternary Generalized Cyclotomic Sequence with Period 2pm |
| title_sort | linear complexity of a new class of quaternary generalized cyclotomic sequence with period 2pm |
| url | http://dx.doi.org/10.1155/2020/6538970 |
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