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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| Main Authors: | , , |
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| Format: | Article |
| Language: | zho |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1000-436X |