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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.
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.
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.
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