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http://dx.doi.org/10.13089/JKIISC.2004.14.1.71

Algebraic Attacks on Summation Generators  

Lee, Dong-Hoon (국가보안기술연구소)
Kim, Jae-Heon (국가보안기술연구소)
Han, Jae-Woo (국가보안기술연구소)
Hong, Jin (국가보안기술연구소)
Moon, Duk-Jae (국가보안기술연구소)
Publication Information
Journal of the Korea Institute of Information Security & Cryptology / v.14, no.1, 2004 , pp. 71-77 More about this Journal
Abstract
It was proved that Hen is an algebraic ,elation of degree [n(l+1]/2] for an (n, 1)-combine. which consists of n LFSRs and l memory bits. For the summation generator with $2^k$ LFSRs which uses k memory bits, we show that there is a non-trivial relation of degree at most $2^k$ using k+1 consecutive outputs. In general, for the summation generator with n LFSRs, we can construct a non-trivial algebraic relation of degree at most 2$^{{2^{[${log}_2$}n]}}$ using [${log}_2$＋1 consecutive outputs.
Keywords
stream cipher; algebraic attack; Summation generator;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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