Secrecy via Sources and Channels

Abstract

Alice and Bob want to share a secret key and to communicate an independent message, both of which they desire to be kept secret from an eavesdropper Eve. We study this problem of secret communication and secret key generation when two resources are available -- correlated sources at Alice, Bob, and Eve, and a noisy broadcast channel from Alice to Bob and Eve which is independent of the sources. We are interested in characterizing the fundamental trade-off between the rates of the secret message and secret key. We present an achievable solution and prove its optimality for the parallel channels and sources case when each sub-channel and source component satisfies a degradation order (either in favor of the legitimate receiver or the eavesdropper). This includes the case of jointly Gaussian sources and an additive Gaussian channel, for which the secrecy region is evaluated.

42 pages, 7 figures, to appear in IEEE Transactions on Information Theory

References in corpus (3)

• Secret-key Agreement with Channel State Information at the Transmitter
• Secret-Key Generation using Correlated Sources and Channels
• On the Delay Limited Secrecy Capacity of Fading Channels

Cited by in corpus (4)

• The Wiretap Channel with Generalized Feedback: Secure Communication and Key Generation
• Secret Key Generation over Noisy Channels with Correlated Sources
• Quantum-inspired secure wireless communication protocol under spatial and local Gaussian noise assumptions
• Previous Messages Provide the Key to Achieve Shannon Capacity in a Wiretap Channel