Correlation-immune functions over finite fields

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	Correlation-immune functions over finite fields
	Liu, ML ; Lu, PZ ; Mullen, GL
	1998-05-01
发表期刊	IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN	0018-9448
卷号	44 期号:3 页码:1273-1276
摘要	We give a series of constructions of correlation-immune function over finite fields. We prove that F-2 and F-3 are the only finite fields F-q with the property that every (n - 1)th correlation-immune function in n > 2 variables over F-q is linear. We also show that by choosing larger finite fields one can alleviate the tradeoff between the length of the linear equivalent and the order of correlation immunity. This is useful for the design of various cryptosystems.
关键词	correlation immunity linear complexity permutation polynomials stream cipher
语种	英语
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Information Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000073200100033
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13962
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, ML
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Penn State Univ, Dept Math, University Pk, PA 16802 USA
推荐引用方式 GB/T 7714	Liu, ML,Lu, PZ,Mullen, GL. Correlation-immune functions over finite fields[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,1998,44(3):1273-1276.
APA	Liu, ML,Lu, PZ,&Mullen, GL.(1998).Correlation-immune functions over finite fields.IEEE TRANSACTIONS ON INFORMATION THEORY,44(3),1273-1276.
MLA	Liu, ML,et al."Correlation-immune functions over finite fields".IEEE TRANSACTIONS ON INFORMATION THEORY 44.3(1998):1273-1276.