学术
摘 要:
利用已知弹性函数级联上高非线性度多输出布尔函数的方法构造（n,m,t）弹性函数,其非线性度为2^n-1-2^n-l/2-1＋2^l/2.nlmax（n-l,m,t）,在相同条件下改进了Kurosawa的非线性度2^n-1-2^n-l/2-1.特别地,本文构造了两类具体的向量弹性函数,得到两个不同的非线性度.本文所得函数的非线性度在大多数情况下是比较好的.[著者文摘]
文章出处:
《武汉大学学报：理学版》-2007年53卷5期 -523-526页
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1671-8836（2007）05-0523-04
Highly Nonlinear Vector Resilient Functions
JIANG Hua, QI Wenfeng （Institute of Information Engineering, Information Engineering University, Zhengzhou 450002, Henan, China ）
Abstract:
By connecting a small resilient functions with a vector Boolean functions with very high non- linearity,this paper shown that there existed an （n,m, t） resilient function whose nonlinearity was 2^n-1-2^n-l/2-1＋2^l/2.nlmax（n-l,m,t）. Therefore,we improved Kurosawa＇s nonlinearity 2^n-1-2^n-l/2-1 under the same conditions. Particularly,we constructed two concrete resilient functions using the same method, and obtained two different nonlinearities. At most of the cases,the nonlinearity of the constructed resilient function is the best compared with previous construction methods.[著者文摘]
Key words:
resilient function; nonlinearity; algebraic degree; linear codes
基金资助:
国家自然科学基金（60673081）资助项目;国家高技术研究发展计划（863计划）（2006AA01Z417）
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