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Prikladnaya Diskretnaya Matematika. Supplement, 2024, Issue 17, Pages 90–93
DOI: https://doi.org/10.17223/2226308X/17/20 (Mi pdma650) 		 
Mathematical Methods of Cryptography

Preimage attack on 44-step MD4 compression function with weakened last step

O. S. Zaikinab

a Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk
b Mathematical Center in Akademgorodok, Novosibirsk
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DOI: https://doi.org/10.17223/2226308X/17/20
Abstract: The main component of the cryptographic hash function MD4 is a 48-step compression function. In 2007, a preimage of the 39-step MD4 compression function was found via CDCL — the main complete SAT solving algorithm. In 2022, a preimage of the 43-step MD4 compression function was found via the parallel SAT solving algorithm Cube-and-Conquer. In the present paper, 44-step compression function MD4 is studied such that the 44th step is weakened in different ways. Preimages of several such functions were found via Cube-and-Conquer. Based on these results, a runtime estimate of a preimage attack on the 44-step MD4 compression function is calculated.
Keywords: cryptographic hash function, MD4, preimage attack, logical cryptanalysis, SAT.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-282
Document Type: Article
UDC: 004.8
Language: Russian
Citation: O. S. Zaikin, “Preimage attack on 44-step MD4 compression function with weakened last step”, Prikl. Diskr. Mat. Suppl., 2024, no. 17, 90–93
Citation in format AMSBIB
\Bibitem{Zai24}
\by O.~S.~Zaikin
\paper Preimage attack on 44-step MD4 compression function with weakened last step
\jour Prikl. Diskr. Mat. Suppl.
\yr 2024
\issue 17
\pages 90--93
\mathnet{http://mi.mathnet.ru/pdma650}
\crossref{https://doi.org/10.17223/2226308X/17/20}
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