Construction and count of multi-output rotation symmetric resilient functions with 8 input variables
The value ranges of the number of output variables were determined respectively under the existence of multi-output rotation symmetric balanced functions and resilient functions with 2<sup>r</sup>input variables.Based on the equivalence between the resilient functions and large sets of o...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2017-07-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017140/ |
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| _version_ | 1841539545879805952 |
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| author | Jiao DU Yu-jing SHANG Jin-ling ZHAO Le DONG En ZHANG |
| author_facet | Jiao DU Yu-jing SHANG Jin-ling ZHAO Le DONG En ZHANG |
| author_sort | Jiao DU |
| collection | DOAJ |
| description | The value ranges of the number of output variables were determined respectively under the existence of multi-output rotation symmetric balanced functions and resilient functions with 2<sup>r</sup>input variables.Based on the equivalence between the resilient functions and large sets of orthogonal arrays,some results on the construction and count of multi-output rotation symmetric balanced functions with 8 input variables were presented according to the different dimensions of output vectors,and construction and count of multi-output rotation symmetric 1-resilient functions with 8 input variables were also studied.Besides,constructions of multi-output rotation symmetric resilient functions are transformed into the problem of solving a system of equations. |
| format | Article |
| id | doaj-art-f169a2ea358649a9b39c14afb7cdb0c8 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2017-07-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-f169a2ea358649a9b39c14afb7cdb0c82025-01-14T07:12:32ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2017-07-0138475559710879Construction and count of multi-output rotation symmetric resilient functions with 8 input variablesJiao DUYu-jing SHANGJin-ling ZHAOLe DONGEn ZHANGThe value ranges of the number of output variables were determined respectively under the existence of multi-output rotation symmetric balanced functions and resilient functions with 2<sup>r</sup>input variables.Based on the equivalence between the resilient functions and large sets of orthogonal arrays,some results on the construction and count of multi-output rotation symmetric balanced functions with 8 input variables were presented according to the different dimensions of output vectors,and construction and count of multi-output rotation symmetric 1-resilient functions with 8 input variables were also studied.Besides,constructions of multi-output rotation symmetric resilient functions are transformed into the problem of solving a system of equations.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017140/cryptographyrotation symmetric functionbalanced functionresilient functionsupport table |
| spellingShingle | Jiao DU Yu-jing SHANG Jin-ling ZHAO Le DONG En ZHANG Construction and count of multi-output rotation symmetric resilient functions with 8 input variables Tongxin xuebao cryptography rotation symmetric function balanced function resilient function support table |
| title | Construction and count of multi-output rotation symmetric resilient functions with 8 input variables |
| title_full | Construction and count of multi-output rotation symmetric resilient functions with 8 input variables |
| title_fullStr | Construction and count of multi-output rotation symmetric resilient functions with 8 input variables |
| title_full_unstemmed | Construction and count of multi-output rotation symmetric resilient functions with 8 input variables |
| title_short | Construction and count of multi-output rotation symmetric resilient functions with 8 input variables |
| title_sort | construction and count of multi output rotation symmetric resilient functions with 8 input variables |
| topic | cryptography rotation symmetric function balanced function resilient function support table |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017140/ |
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