NDLI: Generic Indifferentiability Proofs of Hash Designs

Content Provider	IEEE Xplore Digital Library
Author	Daubignard, M. Fouque, P. Lakhnech, Y.
Copyright Year	2012
Description	Author affiliation: Univ. of Grenoble (UJF), Verimag, France (Daubignard, M.; Lakhnech, Y.) \|\| Ecole normale Super., INRIA Rennes, Rennes, France (Fouque, P.)
Abstract	Hash functions are the swiss army knife of cryptographers. They are used to generate unique identifiers in hash-and-sign signatures, as one-way functions for one-time-password, to break the structure of the input in key derivation functions and also for authentications. We propose a formal analysis of domain extenders for hash functions in the in differentiability framework. We define a general model for domain extenders and provide a unified proof of their security in the form of a generic reduction theorem. Our general model captures many iterated constructions such as domain extenders, modes of operation of symmetric cryptography such as CBC-MAC or block ciphers based on Feistel networks. Its proof has been carried out using the Computational Indistinguishability Logic of Barthe et al.. The theorem can help designers of hash functions justifying the security of their constructions: they only need to bound the probability of well-defined events. Our model allows to consider many SHA-3 finalists and is instantiated on two well-known constructions, namely Chop-MD and Sponge. Finally, the in differentiability bounds which we prove are convincing since they match previous proofs and the application of our result on the sponge construction (underlying the Keccak design) highlights the lack of an additional term in the bound provided by Bertoni et al., as was anticipated but not justified by Bresson et al..
Starting Page	340
Ending Page	353
File Size	512233
Page Count	14
File Format	PDF
ISBN	9781467319188
ISSN	19401434
e-ISBN	9780769547183
DOI	10.1109/CSF.2012.13
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-25
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Hash functions formal proofs indifferentiability Authentication Probabilistic logic Educational institutions Cryptography Indexes Read only memory
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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