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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Bibliographic Details
Main Authors: Hong-bo YUAN, Xiao-yuan YANG, Li-xian WEI, Long-fei LIU
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2014-11-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.z2.035/
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Summary: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.
ISSN:1000-436X