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Information Theoretic Security for Shannon Cipher System under Side-Channel Attacks †.

Bagus Santoso1, Yasutada Oohama1

  • 1University of Electro-Communications, 1-5-1 Chofugaoka, Tokyo 182-8585, Japan.

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

This study introduces a robust security model for Shannon cipher systems against side-channel attacks. It demonstrates how affine encoders can enhance one-time pad encryption security, ensuring reliable decryption while protecting against information leakage.

Keywords:
Shannon cipher systeminformation theoretic securityone helper source coding problemside-channel attacksstrong converse theorem

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Area of Science:

  • Information Theory
  • Cryptography
  • Computer Security

Background:

  • Side-channel attacks pose a significant threat to cryptographic systems by exploiting physical information leakage.
  • Existing security models often depend on specific types of leaked physical information, limiting their robustness.
  • Shannon cipher systems, while theoretically secure, require robust models to address practical implementation vulnerabilities.

Purpose of the Study:

  • To propose a new, robust theoretical security model for Shannon cipher systems vulnerable to side-channel attacks.
  • To investigate methods for strengthening the security of one-time pad encryption against adversaries with access to physical side-channel information.
  • To derive an achievable rate region for reliability and security in compressed ciphertexts.

Main Methods:

  • Development of a new theoretical security model accommodating side-channel information beyond ciphertext eavesdropping.
  • Adaptation of the one-helper source coding framework from Ahlswede and Körner (1975) and Wyner (1975).
  • Combination of results on universal coding (Csizár, 1982) and exponential strong converse theorems (Oohama, 2015) for reliability and security analysis.

Main Results:

  • A robust security model is proposed that is independent of the specific type of physical information leaked.
  • It is proven that affine encoders can strengthen the security of one-time pad encryption.
  • An achievable rate region for reliability and security is derived, ensuring correct decryption and preventing information leakage to adversaries.

Conclusions:

  • The proposed model offers a generalized approach to assessing security against side-channel attacks in Shannon cipher systems.
  • Affine encoding provides a practical method to enhance the security of one-time pad encryption in the presence of side-channel leakage.
  • The derived rate region offers a theoretical bound for secure and reliable data compression in cryptographic applications.