Cryptology ePrint Archive: Report 2003/229

Algebraic Attacks on Summation Generators

Dong Hoon Lee and Jaeheon Kim and Jin Hong and Jae Woo Han and Dukjae Moon

Abstract: We apply the algebraic attacks on stream ciphers with memories to the summation generator. For a summation generator that uses $n$ LFSRs, the algebraic equation relating the key stream bits and LFSR output bits can be made to be of degree less than or equal to $2^{\lceil\log_2 n \rceil}$, using $\lceil\log_2 n \rceil + 1$ consecutive key stream bits. This is much lower than the upper bound given by previous general results.

Category / Keywords: stream ciphers, algebraic attacks, summation generators

Date: received 3 Nov 2003, last revised 6 Nov 2003

Contact author: dlee at etri re kr

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Version: 20031107:003650 (All versions of this report)

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