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	Maximal values of generalized algebraic immunity
	Feng, Keqin ; Liao, Qunying ; Yang, Jing
	2010-10-12 ; 2010-10-12
关键词	Algebraic immunity Reed-Muller codes Finite field Cryptography BOOLEAN FUNCTIONS ATTACKS Computer Science, Theory & Methods Mathematics, Applied
中文摘要	The notion of algebraic immunity of Boolean functions has been generalized in several ways to vector-valued functions and/or over arbitrary finite fields and reasonable upper bounds for such generalized algebraic immunities has been proved in Armknecht and Krause (Proceedings of ICALP 2006, LNCS, vol. 4052, pp 180-191, 2006), Ars and Faugere (Algebraic immunity of functions over finite fields, INRIA, No report 5532, 2005) and Batten (Canteaut, Viswanathan (eds.) Progress in Cryptology-INDOCRYPT 2004, LNCS, vol. 3348, pp 84-91, 2004). In this paper we show that the upper bounds can be reached as the maximal values of algebraic immunities for most of generalizations by using properties of Reed-Muller codes.
语种	英语 ; 英语
出版者	SPRINGER ; DORDRECHT ; VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81335]
专题	清华大学
推荐引用方式 GB/T 7714	Feng, Keqin,Liao, Qunying,Yang, Jing. Maximal values of generalized algebraic immunity[J],2010, 2010.
APA	Feng, Keqin,Liao, Qunying,&Yang, Jing.(2010).Maximal values of generalized algebraic immunity..
MLA	Feng, Keqin,et al."Maximal values of generalized algebraic immunity".(2010).

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