Construction de Bruijn sequence based on whole LFSR with 4 cycles
In order to improve the construction efficiency and widen the application depth of cycle-joining method, from the view of the number of cycles in the cycle structure, a method for constructing de Bruijn sequence based on whole LFSR with 4 cycles was proposed.Based on the characteristic of cascade co...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2022-07-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2022108/ |
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| _version_ | 1841539989178941440 |
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| author | Congwei ZHOU Bin HU Jie GUAN |
| author_facet | Congwei ZHOU Bin HU Jie GUAN |
| author_sort | Congwei ZHOU |
| collection | DOAJ |
| description | In order to improve the construction efficiency and widen the application depth of cycle-joining method, from the view of the number of cycles in the cycle structure, a method for constructing de Bruijn sequence based on whole LFSR with 4 cycles was proposed.Based on the characteristic of cascade connection of LFSR, the cycle structure of a class of cascaded feedback shift registers was determined.Accordingly, the exact number of whole n-order LFSR with 4 cycles was given, and the total number of n-order de Bruijn sequences constructed from whole n-order LFSR with 4 cycles as well. |
| format | Article |
| id | doaj-art-b565e7db2a684aa392e133fe2f7ae652 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2022-07-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-b565e7db2a684aa392e133fe2f7ae6522025-01-14T06:29:42ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2022-07-014312613359395029Construction de Bruijn sequence based on whole LFSR with 4 cyclesCongwei ZHOUBin HUJie GUANIn order to improve the construction efficiency and widen the application depth of cycle-joining method, from the view of the number of cycles in the cycle structure, a method for constructing de Bruijn sequence based on whole LFSR with 4 cycles was proposed.Based on the characteristic of cascade connection of LFSR, the cycle structure of a class of cascaded feedback shift registers was determined.Accordingly, the exact number of whole n-order LFSR with 4 cycles was given, and the total number of n-order de Bruijn sequences constructed from whole n-order LFSR with 4 cycles as well.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2022108/linear feedback shift registerde Bruijn sequencecascade connectioncycle structure |
| spellingShingle | Congwei ZHOU Bin HU Jie GUAN Construction de Bruijn sequence based on whole LFSR with 4 cycles Tongxin xuebao linear feedback shift register de Bruijn sequence cascade connection cycle structure |
| title | Construction de Bruijn sequence based on whole LFSR with 4 cycles |
| title_full | Construction de Bruijn sequence based on whole LFSR with 4 cycles |
| title_fullStr | Construction de Bruijn sequence based on whole LFSR with 4 cycles |
| title_full_unstemmed | Construction de Bruijn sequence based on whole LFSR with 4 cycles |
| title_short | Construction de Bruijn sequence based on whole LFSR with 4 cycles |
| title_sort | construction de bruijn sequence based on whole lfsr with 4 cycles |
| topic | linear feedback shift register de Bruijn sequence cascade connection cycle structure |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2022108/ |
| work_keys_str_mv | AT congweizhou constructiondebruijnsequencebasedonwholelfsrwith4cycles AT binhu constructiondebruijnsequencebasedonwholelfsrwith4cycles AT jieguan constructiondebruijnsequencebasedonwholelfsrwith4cycles |