2-adic complexity of SLCE sequence
Aiming at the 2-adic complexity of Sidelnikov-Lempel-Cohn-Eastman sequences,autocorrelation function value of this kind of sequence was obtained by using the cyclotomic number.Based on the relationship between 2-adic complexity and autocorrelation function,properties of 2-adic complexity value were...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2019-08-01
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| Series: | Tongxin xuebao |
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| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2019143/ |
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| author | Yan WANG Shunbo LI Gaina XUE |
| author_facet | Yan WANG Shunbo LI Gaina XUE |
| author_sort | Yan WANG |
| collection | DOAJ |
| description | Aiming at the 2-adic complexity of Sidelnikov-Lempel-Cohn-Eastman sequences,autocorrelation function value of this kind of sequence was obtained by using the cyclotomic number.Based on the relationship between 2-adic complexity and autocorrelation function,properties of 2-adic complexity value were analyzed.According to the greatest common divisor between the autocorrelation function value and the period of SLCE sequence,the condition that the 2-adic complexity of a SLCE sequence reaches its maximum value was given.The results show that 2-adic complexity of SLCE sequence on many finite field can reach the maximum value. |
| format | Article |
| id | doaj-art-1d6e8a8c2e314c46b54a96260745e69a |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2019-08-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-1d6e8a8c2e314c46b54a96260745e69a2025-01-14T07:17:34ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2019-08-0140151156597292052-adic complexity of SLCE sequenceYan WANGShunbo LIGaina XUEAiming at the 2-adic complexity of Sidelnikov-Lempel-Cohn-Eastman sequences,autocorrelation function value of this kind of sequence was obtained by using the cyclotomic number.Based on the relationship between 2-adic complexity and autocorrelation function,properties of 2-adic complexity value were analyzed.According to the greatest common divisor between the autocorrelation function value and the period of SLCE sequence,the condition that the 2-adic complexity of a SLCE sequence reaches its maximum value was given.The results show that 2-adic complexity of SLCE sequence on many finite field can reach the maximum value.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2019143/stream cipherSidelnikov-Lempel-Cohn-Eastman sequence2-adic complexityautocorrelation |
| spellingShingle | Yan WANG Shunbo LI Gaina XUE 2-adic complexity of SLCE sequence Tongxin xuebao stream cipher Sidelnikov-Lempel-Cohn-Eastman sequence 2-adic complexity autocorrelation |
| title | 2-adic complexity of SLCE sequence |
| title_full | 2-adic complexity of SLCE sequence |
| title_fullStr | 2-adic complexity of SLCE sequence |
| title_full_unstemmed | 2-adic complexity of SLCE sequence |
| title_short | 2-adic complexity of SLCE sequence |
| title_sort | 2 adic complexity of slce sequence |
| topic | stream cipher Sidelnikov-Lempel-Cohn-Eastman sequence 2-adic complexity autocorrelation |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2019143/ |
| work_keys_str_mv | AT yanwang 2adiccomplexityofslcesequence AT shunboli 2adiccomplexityofslcesequence AT gainaxue 2adiccomplexityofslcesequence |