Authors: Oggier, Frederique
Mihaljević, Miodrag J. 
Title: An information-theoretic security evaluation of a class of randomized encryption schemes
Journal: IEEE Transactions on Information Forensics and Security
Volume: 9
Issue: 2
First page: 158
Last page: 168
Issue Date: 1-Feb-2014
Rank: M21a
ISSN: 1556-6013
DOI: 10.1109/TIFS.2013.2294763
Randomized encryption techniques, where randomness is used for security enhancement, are considered. We focus on the case where the encrypted data experiences noise, e.g., is transmitted over a noisy channel, within the encoding-encryption paradigm, where the data is first encoded for error correction, before being encrypted for security. We assume that the ciphertext is subject to a corruption equivalent to its transmission through a binary symmetric channel with known probability of error. The enhanced security is based on a dedicated wire-tap channel coding that introduces extra randomness, combined with that of the communication channel noise. The encryption is based on a block-by-block modulo 2 addition between an encoded message vector and a pseudorandom vector. The goal is to enhance the protection of the secret key employed in the encryption algorithm. Security evaluations of the model are performed employing an information-theoretic approach. Assuming both a passive and an active attacker, we show that there is a threshold before which the wire-tap encoder guarantees an information-theoretic security (during which the equivocation of the secret key is increased), and after which the uncertainty reduces, entering a regime in which a computational security analysis is needed for estimating the complexity resistance against the secret key recovery.
Keywords: error-correction coding | homophonic coding | information-theoretic security evaluation | Randomized encryption | wire-tap channel coding
Publisher: IEEE
Project: Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security 

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