Balanced optimal almost binary sequence pairs of period N≡1（mod4）
Based on the combinatorial design theory， the constructions of balanced optimal almost binary sequence pairs of period N≡1（mod 4）were researched.The maximal cross-correlation values θ<sub>c</sub> were obtained by different combinations of （almost） binary sequence pairs.Furthermore， three...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2021-12-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2021078/ |
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| _version_ | 1841539197892034560 |
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| author | Xiuping PENG Hongxiao LI Shide WANG Hongbin LIN |
| author_facet | Xiuping PENG Hongxiao LI Shide WANG Hongbin LIN |
| author_sort | Xiuping PENG |
| collection | DOAJ |
| description | Based on the combinatorial design theory， the constructions of balanced optimal almost binary sequence pairs of period N≡1（mod 4）were researched.The maximal cross-correlation values θ<sub>c</sub> were obtained by different combinations of （almost） binary sequence pairs.Furthermore， three new bounds on the autocorrelation values under the precondition of the value of θ<sub>c</sub>=1，2，3 were presented individually.Meanwhile，four types of balanced（almost）optimal almost binary sequence pairs were generated， which satisfied the cross-correlation values and autocorrelation theory bounds.Through the constructions， the range of the cross-correlation values is expanded and the cross-correlation value of the optimal binary sequence pairs is further reduced.More than odd， the value of sequence length parameter f can be any integer， which enriches the existence space of the optimal binary sequence pair. |
| format | Article |
| id | doaj-art-63d63fe4563d4dd8b287da3f546a285f |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2021-12-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-63d63fe4563d4dd8b287da3f546a285f2025-01-14T07:23:22ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2021-12-014216317159746886Balanced optimal almost binary sequence pairs of period N≡1（mod4）Xiuping PENGHongxiao LIShide WANGHongbin LINBased on the combinatorial design theory， the constructions of balanced optimal almost binary sequence pairs of period N≡1（mod 4）were researched.The maximal cross-correlation values θ<sub>c</sub> were obtained by different combinations of （almost） binary sequence pairs.Furthermore， three new bounds on the autocorrelation values under the precondition of the value of θ<sub>c</sub>=1，2，3 were presented individually.Meanwhile，four types of balanced（almost）optimal almost binary sequence pairs were generated， which satisfied the cross-correlation values and autocorrelation theory bounds.Through the constructions， the range of the cross-correlation values is expanded and the cross-correlation value of the optimal binary sequence pairs is further reduced.More than odd， the value of sequence length parameter f can be any integer， which enriches the existence space of the optimal binary sequence pair.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2021078/almost binary sequencebalancedautocorrelationcross-correlation |
| spellingShingle | Xiuping PENG Hongxiao LI Shide WANG Hongbin LIN Balanced optimal almost binary sequence pairs of period N≡1（mod4） Tongxin xuebao almost binary sequence balanced autocorrelation cross-correlation |
| title | Balanced optimal almost binary sequence pairs of period N≡1（mod4） |
| title_full | Balanced optimal almost binary sequence pairs of period N≡1（mod4） |
| title_fullStr | Balanced optimal almost binary sequence pairs of period N≡1（mod4） |
| title_full_unstemmed | Balanced optimal almost binary sequence pairs of period N≡1（mod4） |
| title_short | Balanced optimal almost binary sequence pairs of period N≡1（mod4） |
| title_sort | balanced optimal almost binary sequence pairs of period n≡1 mod4 |
| topic | almost binary sequence balanced autocorrelation cross-correlation |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2021078/ |
| work_keys_str_mv | AT xiupingpeng balancedoptimalalmostbinarysequencepairsofperiodn1mod4 AT hongxiaoli balancedoptimalalmostbinarysequencepairsofperiodn1mod4 AT shidewang balancedoptimalalmostbinarysequencepairsofperiodn1mod4 AT hongbinlin balancedoptimalalmostbinarysequencepairsofperiodn1mod4 |