Paper 2003/229 Original: eprint.iacr.org/2003/229 ↗

Algebraic Attacks on Summation Generators

Dong Hoon Lee
Jaeheon Kim
Jin Hong
Jae Woo Han
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.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2008-08-06: last updated
2003-11-06: published
Short URL
https://ia.cr/2003/229
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2003/229,
      author = {Dong Hoon Lee and Jaeheon Kim and Jin Hong and Jae Woo Han and Dukjae Moon},
      title = {Algebraic Attacks on Summation Generators},
      howpublished = {Cryptology {ePrint} Archive, Paper 2003/229},
      year = {2003},
      url = {https://eprint.iacr.org/2003/229}
}
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