Secret-key Agreement with Channel State Information at the Transmitter

Abstract

We study the capacity of secret-key agreement over a wiretap channel with state parameters. The transmitter communicates to the legitimate receiver and the eavesdropper over a discrete memoryless wiretap channel with a memoryless state sequence. The transmitter and the legitimate receiver generate a shared secret key, that remains secret from the eavesdropper. No public discussion channel is available. The state sequence is known noncausally to the transmitter. We derive lower and upper bounds on the secret-key capacity. The lower bound involves constructing a common state reconstruction sequence at the legitimate terminals and binning the set of reconstruction sequences to obtain the secret-key. For the special case of Gaussian channels with additive interference (secret-keys from dirty paper channel) our bounds differ by 0.5 bit/symbol and coincide in the high signal-to-noise-ratio and high interference-to-noise-ratio regimes. For the case when the legitimate receiver is also revealed the state sequence, we establish that our lower bound achieves the the secret-key capacity. In addition, for this special case, we also propose another scheme that attains the capacity and requires only causal side information at the transmitter and the receiver.

10 Pages, Submitted to IEEE Transactions on Information Forensics and Security, Special Issue on Using the Physical Layer for Securing the Next Generation of Communication Systems

References in corpus (1)

• Lecture Notes on Network Information Theory

Cited by in corpus (15)

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• Secret-Key Agreement Capacity over Reciprocal Fading Channels: A Separation Approach
• Learning an Adversary's Actions for Secret Communication
• On The Achievable Rate Region of a New Wiretap Channel With Side Information
• Finite State Multiple-Access Wiretap Channel with Delayed Feedback
• Parallel Gaussian Networks with a Common State-Cognitive Helper
• Capacity of the State-Dependent Wiretap Channel: Secure Writing on Dirty Paper
• Asynchronous Transmission over Single-User State-Dependent Channels
• Achievable Secrecy Rate for the Relay Eavesdropper Channel with Non-Causal State Available at Transmitter and Relay
• Secret Key Agreement Using Conferencing in State- Dependent Multiple Access Channels with An Eavesdropper
• Key agreement over a 3-receiver broadcast channel
• Secret Key Generation from Sparse Wireless Channels: Ergodic Capacity and Secrecy Outage