PERMUTATION

作品数:181被引量:137H指数:6
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相关作者:黄群林洁梅陈平雁钱俊赵佳因更多>>
相关机构:南方医科大学北京城市学院空军军医大学(第四军医大学)上海大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划福建省自然科学基金国家教育部博士点基金更多>>
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Further results on differentially 4-uniform permutations over F2^2m被引量:4
《Science China Mathematics》2015年第7期1577-1588,共12页ZHA ZhengBang HU Lei SUN SiWei SHAN JinYong 
supported by National Basic Research Programme of China(Grant No.2013CB834203);National Natural Science Foundation of China(Grant Nos.11201214 and 61472417);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA06010702)
We present several new constructions of differentially 4-uniform permutations over F22 mby modifying the values of the inverse function on some subsets of F22 m. The resulted differentially 4-uniform permutations have...
关键词:PERMUTATION differentially 4-uniform function NONLINEARITY algebraic degree 
Permutation polynomials with low differential uniformity over finite fields of odd characteristic被引量:2
《Science China Mathematics》2013年第7期1429-1440,共12页JIA WenJie ZENG XiangYong LI ChunLei HELLESETH Tor HU Lei 
supported by National Natural Science Foundation of China(Grant Nos.61070172,10990011 and 61170257);the External Science and Technology Cooperation Program of Hubei Province(Grant No.2012IHA01402);National Key Basic Research Program of China(Grant No.2013CB834203);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA06010702)
In this paper, we propose a construction of functions with low differential uniformity based on known perfect nonlinear functions over finite fields of odd characteristic. For an odd prime power q, it is proved that t...
关键词:PERMUTATION perfect nonlinear function almost perfect nonlinear function differential uniformity 
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