Trace representation of Bent sequence families
Bent sequence families are mainly generated by a linear onto mapping and a bent function.Nevertheless,for a long time,the linear onto mapping has not an explicit expression.Firstly analyzing the conditions that the linear onto mapping must obey,then based on the theory of finite field and the distri...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2006-01-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/74666361/ |
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| _version_ | 1841537366452338688 |
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| author | WANG Jin-song QI Wen-feng |
| author_facet | WANG Jin-song QI Wen-feng |
| author_sort | WANG Jin-song |
| collection | DOAJ |
| description | Bent sequence families are mainly generated by a linear onto mapping and a bent function.Nevertheless,for a long time,the linear onto mapping has not an explicit expression.Firstly analyzing the conditions that the linear onto mapping must obey,then based on the theory of finite field and the distribution of m?sequences,the explicit expression of linear onto mapping is obtained.Therefore the trace representation of Bent sequences is gotten.Finally a family of Bent sequences is constructed which can be rapidly generated by the trace representation of Bent sequences and some Bent functions. |
| format | Article |
| id | doaj-art-fc3132bd558742549bcb206eff46f00d |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2006-01-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-fc3132bd558742549bcb206eff46f00d2025-01-14T08:39:26ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2006-01-0181374666361Trace representation of Bent sequence familiesWANG Jin-songQI Wen-fengBent sequence families are mainly generated by a linear onto mapping and a bent function.Nevertheless,for a long time,the linear onto mapping has not an explicit expression.Firstly analyzing the conditions that the linear onto mapping must obey,then based on the theory of finite field and the distribution of m?sequences,the explicit expression of linear onto mapping is obtained.Therefore the trace representation of Bent sequences is gotten.Finally a family of Bent sequences is constructed which can be rapidly generated by the trace representation of Bent sequences and some Bent functions.http://www.joconline.com.cn/zh/article/74666361/CDMA spreading communicationBent sequence familiesbent functiontrace representation |
| spellingShingle | WANG Jin-song QI Wen-feng Trace representation of Bent sequence families Tongxin xuebao CDMA spreading communication Bent sequence families bent function trace representation |
| title | Trace representation of Bent sequence families |
| title_full | Trace representation of Bent sequence families |
| title_fullStr | Trace representation of Bent sequence families |
| title_full_unstemmed | Trace representation of Bent sequence families |
| title_short | Trace representation of Bent sequence families |
| title_sort | trace representation of bent sequence families |
| topic | CDMA spreading communication Bent sequence families bent function trace representation |
| url | http://www.joconline.com.cn/zh/article/74666361/ |
| work_keys_str_mv | AT wangjinsong tracerepresentationofbentsequencefamilies AT qiwenfeng tracerepresentationofbentsequencefamilies |