### On Provably Secure Code-based Signature and Signcryption Scheme

Preetha Mathew K, Sachin Vasant, and C. Pandu Rangan

##### Abstract

Signcryption is a cryptographic protocol that provides uthentication and confidentiality as a single primitive at a cost lower than the combined cost of sign and encryption. Code-based cryptography, a likely candidate for post-quantum cryptography, provides an exciting alternative to number-theoretic cryptography. Courtois, Finiasz and Sendrier proposed the only practical code-based signature(CFS signature) at Asiacrypt 2001. But that signature scheme currently lacks a formal proof of security due to the existence of the high rate distinguisher proposed by Faugere et al. In this paper, we make use of an alternate key-construct for the CFS signature, and thus prove its existential unforgeability under chosen message attacks (EUF-CMA). Also, we propose a code-based signcryption scheme and prove its security. To the best of our knowledge, this is the first code-based, provably secure signature and signcryption scheme in literature.

Note: Some more justification given for hard problems used in the schemes

Available format(s)
Publication info
Preprint. MINOR revision.
Keywords
SignatureSigncryptionCode-based cryptographyCFS signatureSyndrome decoding.
Contact author(s)
preetha mathewkeerikkattil @ gmail com
History
2013-07-29: last of 2 revisions
See all versions
Short URL
https://ia.cr/2012/585

CC BY

BibTeX

@misc{cryptoeprint:2012/585,
author = {Preetha Mathew K and Sachin Vasant and C.   Pandu Rangan},
title = {On Provably Secure Code-based Signature and Signcryption Scheme},
howpublished = {Cryptology ePrint Archive, Paper 2012/585},
year = {2012},
note = {\url{https://eprint.iacr.org/2012/585}},
url = {https://eprint.iacr.org/2012/585}
}
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