Paper 2018/596
Continuous NMC Secure Against Permutations and Overwrites, with Applications to CCA Secure Commitments
Ivan Damgård and Tomasz Kazana and Maciej Obremski and Varun Raj and Luisa Siniscalchi
Abstract
Non-Malleable Codes (NMC) were introduced by Dziembowski, Pietrzak and Wichs in ICS 2010 as a relaxation of error correcting codes and error detecting codes. Faust, Mukherjee, Nielsen, and Venturi in TCC 2014 introduced an even stronger notion of non-malleable codes called continuous non-malleable codes where security is achieved against continuous tampering of a single codeword without re-encoding. We construct information theoretically secure CNMC resilient to bit permutations and overwrites, this is the first Continuous NMC constructed outside of the split-state model. In this work we also study relations between the CNMC and parallel CCA commitments. We show that the CNMC can be used to bootstrap a self-destruct parallel CCA bit commitment to a self-destruct parallel CCA string commitment, where self-destruct parallel CCA is a weak form of parallel CCA security. Then we can get rid of the self-destruct limitation obtaining a parallel CCA commitment, requiring only one-way functions.
Metadata
- Available format(s)
- Publication info
- Preprint.
- Keywords
- non-malleable codescontinuous non-malleable codesnon-malleable commitments
- Contact author(s)
- luisa siniscalchi88 @ gmail com
- History
- 2018-07-17: last of 2 revisions
- 2018-06-18: received
- See all versions
- Short URL
- https://ia.cr/2018/596
- License
-
CC BY