English

Non-Malleable Codes from the Wire-Tap Channel

Cryptography and Security 2011-05-20 v1 Information Theory math.IT

Abstract

Recently, Dziembowski et al. introduced the notion of non-malleable codes (NMC), inspired from the notion of non-malleability in cryptography and the work of Gennaro et al. in 2004 on tamper proof security. Informally, when using NMC, if an attacker modifies a codeword, decoding this modified codeword will return either the original message or a completely unrelated value. The definition of NMC is related to a family of modifications authorized to the attacker. In their paper, Dziembowski et al. propose a construction valid for the family of all bit-wise independent functions. In this article, we study the link between the second version of the Wire-Tap (WT) Channel, introduced by Ozarow and Wyner in 1984, and NMC. Using coset-coding, we describe a new construction for NMC w.r.t. a subset of the family of bit-wise independent functions. Our scheme is easier to build and more efficient than the one proposed by Dziembowski et al.

Cite

@article{arxiv.1105.3879,
  title  = {Non-Malleable Codes from the Wire-Tap Channel},
  author = {Hervé Chabanne and Gérard Cohen and Jean-Pierre Flori and Alain Patey},
  journal= {arXiv preprint arXiv:1105.3879},
  year   = {2011}
}

Comments

12 pages

R2 v1 2026-06-21T18:09:40.845Z