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Stealthy Secret Key Generation.

Pin-Hsun Lin1, Carsten R Janda1, Eduard A Jorswieck1

  • 1Information Theory and Communication Systems Department, Technische Universität Braunschweig, 38106 Braunschweig, Germany.

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Summary
This summary is machine-generated.

This study introduces a stealthy secret key generation (SKG) method to prevent eavesdroppers (Willie) from detecting communication. Stealthy SKG achieves the same key rate as non-stealthy methods under specific conditions, ensuring secure communication without detection.

Keywords:
channel resolvabilityconceptual wiretap channelcovert communicationssecret key generationsource modelstealthy communicationsstochastic ordersstochastically degraded

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Area of Science:

  • Information Theory
  • Cryptography
  • Wireless Communications

Background:

  • Traditional covert and stealth communication schemes aim to hide information from eavesdroppers like Willie.
  • Secret key generation (SKG) can be observable by eavesdroppers, potentially compromising security.
  • There is a need for SKG methods that maintain secrecy while remaining undetectable.

Purpose of the Study:

  • To investigate a source model for secret key generation (SKG) that satisfies both strong secrecy and stealth constraints.
  • To determine conditions under which stealthy SKG is equivalent to non-stealthy SKG.
  • To analyze the key capacity of stealthy SKG in various communication scenarios.

Main Methods:

  • Analysis of stochastic dependence between observations at legitimate users (Alice, Bob) and an eavesdropper (Willie).
  • Application of the 'strictly more capable' criterion to compare observation dependencies.
  • Investigation of Markov chain properties for random variables induced by a common source.
  • Utilizing stochastic orders to analyze fast fading models.

Main Results:

  • A positive stealthy secret key rate is achievable and identical to the non-stealthy rate when Alice and Bob's observations are 'strictly more capable' than their observations with Willie.
  • When observations form a Markov chain, the key capacity with both strong secrecy and stealth constraints equals that with only strong secrecy.
  • A sufficient condition for an equivalent degraded model in fast fading scenarios is provided.

Conclusions:

  • Stealthy secret key generation is feasible without compromising key rates under specific dependency conditions.
  • The stealth constraint does not reduce key capacity when observations exhibit Markovian properties.
  • The findings offer theoretical underpinnings for developing undetectable secure communication systems.