Description of global avalanche characteristics and constructions of Boolean functions
Global avalanche characteristics matrix representation method starting from the expression of global avalanche characteristics was proposed and a new tool for research global avalanche characteristics was provided.According to properties of sum-of-square indicator,an odd almost optimal Boolean funct...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2014-11-01
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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.z2.035/ |
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| _version_ | 1841539631803269120 |
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| author | Hong-bo YUAN Xiao-yuan YANG Li-xian WEI Long-fei LIU |
| author_facet | Hong-bo YUAN Xiao-yuan YANG Li-xian WEI Long-fei LIU |
| author_sort | Hong-bo YUAN |
| collection | DOAJ |
| description | Global avalanche characteristics matrix representation method starting from the expression of global avalanche characteristics was proposed and a new tool for research global avalanche characteristics was provided.According to properties of sum-of-square indicator,an odd almost optimal Boolean functions which meet savariety of properties of cryptography was constructed and hold slower sum-of-square indicator via M-M Boolean functions.It is a problem that how to construct a kind of functions satisfying GAC.There is a effecint way that modifying M-M functions with designing new mapping. |
| format | Article |
| id | doaj-art-0ea1b28800344d80b507aa959948aa25 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2014-11-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-0ea1b28800344d80b507aa959948aa252025-01-14T06:45:19ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2014-11-013525125559689578Description of global avalanche characteristics and constructions of Boolean functionsHong-bo YUANXiao-yuan YANGLi-xian WEILong-fei LIUGlobal avalanche characteristics matrix representation method starting from the expression of global avalanche characteristics was proposed and a new tool for research global avalanche characteristics was provided.According to properties of sum-of-square indicator,an odd almost optimal Boolean functions which meet savariety of properties of cryptography was constructed and hold slower sum-of-square indicator via M-M Boolean functions.It is a problem that how to construct a kind of functions satisfying GAC.There is a effecint way that modifying M-M functions with designing new mapping.http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.z2.035/Boolean functionsglobal avalanche characteristicsmatrixconstruction algorithmnonlinearity |
| spellingShingle | Hong-bo YUAN Xiao-yuan YANG Li-xian WEI Long-fei LIU Description of global avalanche characteristics and constructions of Boolean functions Tongxin xuebao Boolean functions global avalanche characteristics matrix construction algorithm nonlinearity |
| title | Description of global avalanche characteristics and constructions of Boolean functions |
| title_full | Description of global avalanche characteristics and constructions of Boolean functions |
| title_fullStr | Description of global avalanche characteristics and constructions of Boolean functions |
| title_full_unstemmed | Description of global avalanche characteristics and constructions of Boolean functions |
| title_short | Description of global avalanche characteristics and constructions of Boolean functions |
| title_sort | description of global avalanche characteristics and constructions of boolean functions |
| topic | Boolean functions global avalanche characteristics matrix construction algorithm nonlinearity |
| url | http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.z2.035/ |
| work_keys_str_mv | AT hongboyuan descriptionofglobalavalanchecharacteristicsandconstructionsofbooleanfunctions AT xiaoyuanyang descriptionofglobalavalanchecharacteristicsandconstructionsofbooleanfunctions AT lixianwei descriptionofglobalavalanchecharacteristicsandconstructionsofbooleanfunctions AT longfeiliu descriptionofglobalavalanchecharacteristicsandconstructionsofbooleanfunctions |