Construction and count of resilient rotation symmetric Boolean functions with prime number variables
The characteristic matrix of the resilient rotation symmetric Boolean functions(RSBF) with prime number va-riables were explored. Some properties about character ic matrix of them were given. A necessary and sufficient condi-tion on the construction of resilient RSBF with prime number variables was...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2013-03-01
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| Series: | Tongxin xuebao |
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| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2013.03.002/ |
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| _version_ | 1841539849454092288 |
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| author | Jiao DU Qiao-yan WEN Jie ZHANG Shan-qi PANG |
| author_facet | Jiao DU Qiao-yan WEN Jie ZHANG Shan-qi PANG |
| author_sort | Jiao DU |
| collection | DOAJ |
| description | The characteristic matrix of the resilient rotation symmetric Boolean functions(RSBF) with prime number va-riables were explored. Some properties about character ic matrix of them were given. A necessary and sufficient condi-tion on the construction of resilient RSBF with prime number variables was derived. So construction and count formula of all the resilient RSBF with prime number variables were determined by this way. At last, all the resilient RSBF with 3, 5 or 7 variables were given. |
| format | Article |
| id | doaj-art-eaddc16844a24bd9a5b82fbd69b129bd |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2013-03-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-eaddc16844a24bd9a5b82fbd69b129bd2025-01-14T06:34:45ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2013-03-013461359670569Construction and count of resilient rotation symmetric Boolean functions with prime number variablesJiao DUQiao-yan WENJie ZHANGShan-qi PANGThe characteristic matrix of the resilient rotation symmetric Boolean functions(RSBF) with prime number va-riables were explored. Some properties about character ic matrix of them were given. A necessary and sufficient condi-tion on the construction of resilient RSBF with prime number variables was derived. So construction and count formula of all the resilient RSBF with prime number variables were determined by this way. At last, all the resilient RSBF with 3, 5 or 7 variables were given.http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2013.03.002/Boolean functionscharacteristic matrixcorrelation immunealgebraic immunity |
| spellingShingle | Jiao DU Qiao-yan WEN Jie ZHANG Shan-qi PANG Construction and count of resilient rotation symmetric Boolean functions with prime number variables Tongxin xuebao Boolean functions characteristic matrix correlation immune algebraic immunity |
| title | Construction and count of resilient rotation symmetric Boolean functions with prime number variables |
| title_full | Construction and count of resilient rotation symmetric Boolean functions with prime number variables |
| title_fullStr | Construction and count of resilient rotation symmetric Boolean functions with prime number variables |
| title_full_unstemmed | Construction and count of resilient rotation symmetric Boolean functions with prime number variables |
| title_short | Construction and count of resilient rotation symmetric Boolean functions with prime number variables |
| title_sort | construction and count of resilient rotation symmetric boolean functions with prime number variables |
| topic | Boolean functions characteristic matrix correlation immune algebraic immunity |
| url | http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2013.03.002/ |
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