Semantically-Secured Message-Key Trade-Off over Wiretap Channels with Random Parameters
We study the trade-off between secret message (SM) and secret key (SK) rates simultaneously achievable over a state-dependent (SD) wiretap channel (WTC) with non-causal channel state information (CSI) at the encoder. This model subsumes all other instances of CSI availability as special cases, and calls for an efficient utilization of the state sequence both for reliability and security purposes. An inner bound on the semantic-security (SS) SM-SK capacity region is derived based on a novel superposition coding scheme. Our inner bound improves upon the previously best known SM-SK trade-off result by Prabhakaran et al., and to the best of our knowledge, upon all other existing lower bounds for either SM or SK for this setup. The results are derived under the strict semantic-security metric that requires negligible information leakage for all message-key distributions. The achievability proof uses the strong soft-covering lemma for superposition codes.
The work of Alexander Bunin and Shlomo Shamai was supported by the European Union’s Horizon 2020 Research And Innovation Programme, grant agreement No. 694630. The work of Z. Goldfeld and H. H. Permuter was supported by the Israel Science Foundation (grant no. 684/11), an ERC starting grant and the Cyber Security Research Grant at Ben-Gurion University of the Negev. The work of Paul Cuff was supported by the National Science Foundation—grant CCF-1350595, and the Air Force Office of Scientific Research—grant FA9550-15-1-0180.
- 2.Bassi G, Piantanida P, Shamai (Shitz) S (2016) Secret key generation over noisy channels with common randomness. ArXiv preprint arXiv.org/abs/1609.08330
- 3.Bellare M, Tessaro S, Vardy A (2012) A cryptographic treatment of the wiretap channel. In: Proceedings of the advances in cryptology (CRYPTO 2012), Santa Barbara, CA, USAGoogle Scholar
- 4.Bernstein DJ (2009) Introduction to post-quantum cryptography. In: Post-quantum cryptography. Springer, Berlin, pp 1–14Google Scholar
- 9.Gelfand SI, Pinsker MS (1980) Coding for channel with random parameters. Problemy Pered Inform (Probl Inf Trans) 9(1): 19–31Google Scholar
- 12.Goldfeld Z, Cuff P, Permuter HH (2016) Wiretap channel with random states non-causally available at the encoder. Submitted to IEEE Trans Inf TheoryGoogle Scholar
- 14.Hou J, Kramer G (2013) Informational divergence approximations to product distributions. In: Proceedings of the 13th Canadian Workshop Information Theory (CWIT), Toronto, Ontario, CanadaGoogle Scholar
- 16.Jones N (2013) Google and NASA snap up quantum computer D-Wave two. http://www.scientificamerican.com/article.cfm?id=google-nasa-snap-up-quantum-computer-dwave-two
- 18.Liu Y, Chen HH, Wang L (First quarter 2017) Physical layer security for next generation wireless networks: theories, technologies, and challenges. IEEE Commun Surv Tut 19(1): 347–376Google Scholar
- 20.Perlner RA, Cooper DA (2009) Quantum resistant public key cryptography: a survey. In: Proceedings of symposium on identity and trust on the internet (IDtrust). pp. 85–93. ACM, Gaithersburg, MarylandGoogle Scholar