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Unconditionally Secure Approximate Message Authentication

Dongvu Tonien19 Contact Information, Reihaneh Safavi-Naini19 Contact Information, Peter Nickolas20 Contact Information and Yvo Desmedt21 Contact Information

(19)  Department of Computer Science, University of Calgary, Canada
(20)  School of Mathematics and Statistics, University of Wollongong, Australia
(21)  Department of Computer Science, University College University of London, UK
Abstract
Approximate message authentication codes (AMAC) arise naturally in biometric and multimedia applications where plaintexts are fuzzy and a tagged message (x′, t) where t is the calculated tag for a message x that is ‘close’ to x′ should pass the verification test. Fuzziness of plaintexts can be due to a variety of factors including applying acceptable transforms such as compression and decompression to data, or inaccuracy of sensors in reading biometric data.
This paper develops a framework for approximate message authentication systems in unconditionally security setting. We give formal definition of AMAC and analyze two attacks, impersonation attack and substitution attack. We derive lower bounds on an opponent’s deception probability in these attacks under the assumption that all keys are equiprobable. Our bounds generalize known combinatorial bounds in classical authentication theory.

Keywords  approximate authentication - biometric authentication - unconditional security


Contact Information Dongvu Tonien
Email: dongvu.tonien@gmail.com

Contact Information Reihaneh Safavi-Naini
Email: rei@ucalgary.ca

Contact Information Peter Nickolas
Email: peter@uow.edu.au

Contact Information Yvo Desmedt
Email: desmedt@cs.ucl.ac.uk
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