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Polar Codes for Covert Communications over Asynchronous Discrete Memoryless Channels.

Guillaume Frèche1,2,3, Matthieu R Bloch1,2, Michel Barret1,3

  • 1UMI 2958 Georgia Tech-CNRS, 57070 Metz, France.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary
This summary is machine-generated.

This study presents a covert communication code using binary polar codes for secure data transmission over noisy channels. The code balances reliable communication with a low probability of detection by adversaries.

Keywords:
covert communicationphysical-layer securitypolar codes

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Area of Science:

  • Information Theory
  • Coding Theory
  • Cryptography

Background:

  • Covert communication is crucial for secure information exchange.
  • Existing methods often face trade-offs between reliability and undetectability.
  • Asynchronous discrete memoryless channels present unique challenges for secure coding.

Purpose of the Study:

  • To develop an explicit covert communication code for binary-input asynchronous discrete memoryless channels.
  • To leverage binary polar codes for enhanced security and reliability.
  • To analyze the code's performance in terms of detection probability and communication rate.

Main Methods:

  • Utilizing binary polar codes to construct covert communication codewords.
  • Exploiting channel noise and transmission timing uncertainty for security.
  • Analyzing codeword weight distribution and its impact on detection probability.
  • Evaluating performance against adversaries observing noisy codeword versions.

Main Results:

  • The proposed code ensures reliable communication for legitimate parties.
  • It achieves a low probability of detection against adversaries.
  • Binary polar codes shape codeword weight distribution, leading to decaying average weight.
  • Code performance is limited by the speed of polarization.

Conclusions:

  • The developed code offers a novel approach to covert communication.
  • It demonstrates the potential of polar codes in secure communication systems.
  • While not matching random codes, it retains polar codes' low-complexity advantages.