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Computing Almost Exact Probabilities of Differential Hash Collision Paths by Applying Appropriate Stochastic Methods

Gebhardt, Max ; Illies, Georg ; Schindler, Werner (2008)
Computing Almost Exact Probabilities of Differential Hash Collision Paths by Applying Appropriate Stochastic Methods.
In: Cryptology ePrint Archive, 2008 (022)
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

Generally speaking, the probability of a differential path determines an upper bound for the expected workload and thus for the true risk potential of a differential attack. In particular, if the expected workload seems to be in a borderline region between practical feasibility and non-feasibility it is desirable to know the path probability as exact as possible. We present a generally applicable approach to determine at least almost exact probabilities of differential paths where we focus on (near-)collision paths for Merkle-Damgard-type hash functions. Our results show both that the number of bit conditions provides only a rough estimate for the true path probability and that the IV may have significant impact on the path probability. For MD5 we verified the effectivity of our approach experimentally. An abbreviated version \cite{GIS4}, which in particular omits proofs, technical details and several examples, will appear in the proceedings of the security conference 'Sicherheit 2008'.

Typ des Eintrags: Artikel
Erschienen: 2008
Autor(en): Gebhardt, Max ; Illies, Georg ; Schindler, Werner
Art des Eintrags: Bibliographie
Titel: Computing Almost Exact Probabilities of Differential Hash Collision Paths by Applying Appropriate Stochastic Methods
Sprache: Englisch
Publikationsjahr: Januar 2008
Verlag: International Association for Cryptologic Research (IACR)
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Cryptology ePrint Archive
Jahrgang/Volume einer Zeitschrift: 2008
(Heft-)Nummer: 022
URL / URN: https://eprint.iacr.org/2008/022
Kurzbeschreibung (Abstract):

Generally speaking, the probability of a differential path determines an upper bound for the expected workload and thus for the true risk potential of a differential attack. In particular, if the expected workload seems to be in a borderline region between practical feasibility and non-feasibility it is desirable to know the path probability as exact as possible. We present a generally applicable approach to determine at least almost exact probabilities of differential paths where we focus on (near-)collision paths for Merkle-Damgard-type hash functions. Our results show both that the number of bit conditions provides only a rough estimate for the true path probability and that the IV may have significant impact on the path probability. For MD5 we verified the effectivity of our approach experimentally. An abbreviated version \cite{GIS4}, which in particular omits proofs, technical details and several examples, will appear in the proceedings of the security conference 'Sicherheit 2008'.

Freie Schlagworte: Secure Things, Hash function, collision path, postaddition, probability, stochastic model
ID-Nummer: TUD-CS-2008-1131
Fachbereich(e)/-gebiet(e): LOEWE
LOEWE > LOEWE-Zentren
LOEWE > LOEWE-Zentren > CASED – Center for Advanced Security Research Darmstadt
Hinterlegungsdatum: 30 Dez 2016 20:23
Letzte Änderung: 02 Dez 2020 12:03
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