Equivalent characterization of resilient rotation symmetric functions with q number of variables over GF(p)
Baesd on the property of the l-value support tables of the resilient rotation symmetric functions (RSF) with q number of variables, an equivalent characterization on the resilient RSF with q number of variables is derived. It is proved that construction of the resilient RSF with q number of variable...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2014-08-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.08.022/ |
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| author | Jiao DU Shan-qi PANG Qiao-yan WEN GJie ZHAN |
| author_facet | Jiao DU Shan-qi PANG Qiao-yan WEN GJie ZHAN |
| author_sort | Jiao DU |
| collection | DOAJ |
| description | Baesd on the property of the l-value support tables of the resilient rotation symmetric functions (RSF) with q number of variables, an equivalent characterization on the resilient RSF with q number of variables is derived. It is proved that construction of the resilient RSF with q number of variables are equivalent to solve an equation system. At last, the count of resilient RSF with q number of variables are represented by using all the solutions of the equation system. Key words: rotation symmetric functions; l-value support table; orthogonal arrays; resilient functions |
| format | Article |
| id | doaj-art-7f8f43b784914bf8bc677b9c93d469a7 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2014-08-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-7f8f43b784914bf8bc677b9c93d469a72025-01-14T07:25:24ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2014-08-013517918359683778Equivalent characterization of resilient rotation symmetric functions with q number of variables over GF(p)Jiao DUShan-qi PANGQiao-yan WENGJie ZHANBaesd on the property of the l-value support tables of the resilient rotation symmetric functions (RSF) with q number of variables, an equivalent characterization on the resilient RSF with q number of variables is derived. It is proved that construction of the resilient RSF with q number of variables are equivalent to solve an equation system. At last, the count of resilient RSF with q number of variables are represented by using all the solutions of the equation system. Key words: rotation symmetric functions; l-value support table; orthogonal arrays; resilient functionshttp://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.08.022/rotation symmetric functionsl-value support tableorthogonal arraysresilient functions |
| spellingShingle | Jiao DU Shan-qi PANG Qiao-yan WEN GJie ZHAN Equivalent characterization of resilient rotation symmetric functions with q number of variables over GF(p) Tongxin xuebao rotation symmetric functions l-value support table orthogonal arrays resilient functions |
| title | Equivalent characterization of resilient rotation symmetric functions with q number of variables over GF(p) |
| title_full | Equivalent characterization of resilient rotation symmetric functions with q number of variables over GF(p) |
| title_fullStr | Equivalent characterization of resilient rotation symmetric functions with q number of variables over GF(p) |
| title_full_unstemmed | Equivalent characterization of resilient rotation symmetric functions with q number of variables over GF(p) |
| title_short | Equivalent characterization of resilient rotation symmetric functions with q number of variables over GF(p) |
| title_sort | equivalent characterization of resilient rotation symmetric functions with q number of variables over gf p |
| topic | rotation symmetric functions l-value support table orthogonal arrays resilient functions |
| url | http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.08.022/ |
| work_keys_str_mv | AT jiaodu equivalentcharacterizationofresilientrotationsymmetricfunctionswithqnumberofvariablesovergfp AT shanqipang equivalentcharacterizationofresilientrotationsymmetricfunctionswithqnumberofvariablesovergfp AT qiaoyanwen equivalentcharacterizationofresilientrotationsymmetricfunctionswithqnumberofvariablesovergfp AT gjiezhan equivalentcharacterizationofresilientrotationsymmetricfunctionswithqnumberofvariablesovergfp |