Secure Coding via Gaussian Random Fields

Bereyhi A, Loureiro B, Krzakala F, Müller R, Schulz-Baldes H (2022)

Publication Type: Conference contribution

Publication year: 2022

Publisher: Institute of Electrical and Electronics Engineers Inc.

Book Volume: 2022-June

Pages Range: 1241-1246

Conference Proceedings Title: IEEE International Symposium on Information Theory - Proceedings

Event location: Espoo FI

ISBN: 9781665421591

DOI: 10.1109/ISIT50566.2022.9834788

Abstract

Inverse probability problems whose generative models are given by strictly nonlinear Gaussian random fields show the all-or-nothing behavior: There exists a critical rate at which Bayesian inference exhibits a phase transition. Below this rate, the optimal Bayesian estimator recovers the data perfectly, and above it the recovered data becomes uncorrelated. This study uses the replica method from the theory of spin glasses to show that this critical rate is the channel capacity. This interesting finding has a particular application to the problem of secure transmission: A strictly nonlinear Gaussian random field along with random binning can be used to securely encode a confidential message in a wiretap channel. Our large-system characterization demonstrates that this secure coding scheme asymptotically achieves the secrecy capacity of the Gaussian wiretap channel.

Authors with CRIS profile

Ali Bereyhi Lehrstuhl für Digitale Übertragung Ralf Müller Professur für Informationsübertragung Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

École Polytechnique Fédérale de Lausanne (EPFL) CH Switzerland (CH)

How to cite

APA:

Bereyhi, A., Loureiro, B., Krzakala, F., Müller, R., & Schulz-Baldes, H. (2022). Secure Coding via Gaussian Random Fields. In IEEE International Symposium on Information Theory - Proceedings (pp. 1241-1246). Espoo, FI: Institute of Electrical and Electronics Engineers Inc..

MLA:

Bereyhi, Ali, et al. "Secure Coding via Gaussian Random Fields." Proceedings of the 2022 IEEE International Symposium on Information Theory, ISIT 2022, Espoo Institute of Electrical and Electronics Engineers Inc., 2022. 1241-1246.

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