Study on the constructions of optimal almost quaternary sequences with period 2q
Based on the Chinese remainder theorem and cyclotomic classes of order 4,the constructions of almost quaternary sequences with period N=2q (where q is an odd prime) was studied.According to the number of “0” in the two positions y(0) and y(q),three types of optimal almost quaternary sequences with o...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2019-12-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2019225/ |
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| _version_ | 1841539366980157440 |
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| author | Xiuping PENG Huipu JI Deliang ZHENG Xiaoxia NIU |
| author_facet | Xiuping PENG Huipu JI Deliang ZHENG Xiaoxia NIU |
| author_sort | Xiuping PENG |
| collection | DOAJ |
| description | Based on the Chinese remainder theorem and cyclotomic classes of order 4,the constructions of almost quaternary sequences with period N=2q (where q is an odd prime) was studied.According to the number of “0” in the two positions y(0) and y(q),three types of optimal almost quaternary sequences with optimal balance property and out-of-phase autocorrelation values as{0,-2},{0,2,-2} and {0,-2,-2i,2i} were constructed respectively.Through these constructions,all the almost quaternary sequences constructed are balanced and optimal.These constructed sequences extend the existence range of the balanced optimal quaternary sequences and provide more optimal sequences for practical applications. |
| format | Article |
| id | doaj-art-9a886866443a447f9acf2bddcf3b775d |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2019-12-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-9a886866443a447f9acf2bddcf3b775d2025-01-14T07:18:05ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2019-12-014010511359730856Study on the constructions of optimal almost quaternary sequences with period 2qXiuping PENGHuipu JIDeliang ZHENGXiaoxia NIUBased on the Chinese remainder theorem and cyclotomic classes of order 4,the constructions of almost quaternary sequences with period N=2q (where q is an odd prime) was studied.According to the number of “0” in the two positions y(0) and y(q),three types of optimal almost quaternary sequences with optimal balance property and out-of-phase autocorrelation values as{0,-2},{0,2,-2} and {0,-2,-2i,2i} were constructed respectively.Through these constructions,all the almost quaternary sequences constructed are balanced and optimal.These constructed sequences extend the existence range of the balanced optimal quaternary sequences and provide more optimal sequences for practical applications.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2019225/quaternary sequenceoptimal almost quaternary sequencebalanced sequencecyclotomic classes |
| spellingShingle | Xiuping PENG Huipu JI Deliang ZHENG Xiaoxia NIU Study on the constructions of optimal almost quaternary sequences with period 2q Tongxin xuebao quaternary sequence optimal almost quaternary sequence balanced sequence cyclotomic classes |
| title | Study on the constructions of optimal almost quaternary sequences with period 2q |
| title_full | Study on the constructions of optimal almost quaternary sequences with period 2q |
| title_fullStr | Study on the constructions of optimal almost quaternary sequences with period 2q |
| title_full_unstemmed | Study on the constructions of optimal almost quaternary sequences with period 2q |
| title_short | Study on the constructions of optimal almost quaternary sequences with period 2q |
| title_sort | study on the constructions of optimal almost quaternary sequences with period 2q |
| topic | quaternary sequence optimal almost quaternary sequence balanced sequence cyclotomic classes |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2019225/ |
| work_keys_str_mv | AT xiupingpeng studyontheconstructionsofoptimalalmostquaternarysequenceswithperiod2q AT huipuji studyontheconstructionsofoptimalalmostquaternarysequenceswithperiod2q AT deliangzheng studyontheconstructionsofoptimalalmostquaternarysequenceswithperiod2q AT xiaoxianiu studyontheconstructionsofoptimalalmostquaternarysequenceswithperiod2q |