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	Constructing vectorial Boolean functions with high algebraic immunity based on group decomposition
	Lou, Yu ; Han, Huiting ; Tang, Chunming ; Wu, Zhangqing ; Xu, Maozhi
	2015
关键词	polar decomposition algebraic immunity balancedness vectorial Boolean function hyper-bent function algebraic degree 11L05 06E30 HYPER-BENT FUNCTIONS GOOD NONLINEARITY LINEAR FEEDBACK STREAM CIPHERS INFINITE CLASS ATTACKS
英文摘要	In this paper, we propose a new method to construct cryptographically significant (vectorial) Boolean functions over by using the decomposition of the multiplicative group of , and give a generalized description for constructing a class of vectorial Boolean functions with high algebraic immunity. Moreover, for even n, we introduce two special classes of vectorial Boolean functions with high algebraic immunity: one is hyper-bent and the other is balanced with optimal algebraic degree.; Mathematics, Applied; SCI(E); EI; 0; ARTICLE; windtker@163.com; 3; 451-462; 92
语种	英语
出处	EI ; SCI
出版者	international journal of computer mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157257]
专题	数学科学学院
推荐引用方式 GB/T 7714	Lou, Yu,Han, Huiting,Tang, Chunming,et al. Constructing vectorial Boolean functions with high algebraic immunity based on group decomposition. 2015-01-01.

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