Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlative issue
Took the derivative and e-derivative of Boolean function as a tool,analyzed the inner structure of balanced H-Boolean functions,clearly obtained the conclusion that the second-order correlation-immune balanced H-Boolean function is not existent,solved the problem that whether there was a second-orde...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2010-01-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/74649374/ |
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| _version_ | 1841537675954225152 |
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| author | HE Liang WANG Zhuo LI Wei-wei |
| author_facet | HE Liang WANG Zhuo LI Wei-wei |
| author_sort | HE Liang |
| collection | DOAJ |
| description | Took the derivative and e-derivative of Boolean function as a tool,analyzed the inner structure of balanced H-Boolean functions,clearly obtained the conclusion that the second-order correlation-immune balanced H-Boolean function is not existent,solved the problem that whether there was a second-order correlation-immune balanced H-Boolean function which has not yet proper result.From the rationality of logic and theory,defined the necessity of discussing the generalized correlation-immune of balanced H-Boolean function for the security of cryptosystem.And through the analysis of generalized correlation-immunity and correlation-measure of balanced H-Boolean function,de-rived the algorithms which reduced the balanced H-Boolean function correlation-measure,and while increased the order of correlation-measure. |
| format | Article |
| id | doaj-art-28300a62de6e4372baf0951f3299ecb1 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2010-01-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-28300a62de6e4372baf0951f3299ecb12025-01-14T08:26:38ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2010-01-0131939974649374Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlative issueHE LiangWANG ZhuoLI Wei-weiTook the derivative and e-derivative of Boolean function as a tool,analyzed the inner structure of balanced H-Boolean functions,clearly obtained the conclusion that the second-order correlation-immune balanced H-Boolean function is not existent,solved the problem that whether there was a second-order correlation-immune balanced H-Boolean function which has not yet proper result.From the rationality of logic and theory,defined the necessity of discussing the generalized correlation-immune of balanced H-Boolean function for the security of cryptosystem.And through the analysis of generalized correlation-immunity and correlation-measure of balanced H-Boolean function,de-rived the algorithms which reduced the balanced H-Boolean function correlation-measure,and while increased the order of correlation-measure.http://www.joconline.com.cn/zh/article/74649374/H-Boolean functionse-derivativecorrelation-measurecorrelation-immunity |
| spellingShingle | HE Liang WANG Zhuo LI Wei-wei Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlative issue Tongxin xuebao H-Boolean functions e-derivative correlation-measure correlation-immunity |
| title | Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlative issue |
| title_full | Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlative issue |
| title_fullStr | Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlative issue |
| title_full_unstemmed | Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlative issue |
| title_short | Algorithm of reducing the balanced H-Boolean function correlation-measure and research on correlative issue |
| title_sort | algorithm of reducing the balanced h boolean function correlation measure and research on correlative issue |
| topic | H-Boolean functions e-derivative correlation-measure correlation-immunity |
| url | http://www.joconline.com.cn/zh/article/74649374/ |
| work_keys_str_mv | AT heliang algorithmofreducingthebalancedhbooleanfunctioncorrelationmeasureandresearchoncorrelativeissue AT wangzhuo algorithmofreducingthebalancedhbooleanfunctioncorrelationmeasureandresearchoncorrelativeissue AT liweiwei algorithmofreducingthebalancedhbooleanfunctioncorrelationmeasureandresearchoncorrelativeissue |