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Second-Order Side-Channel Analysis Based on Orthogonal Transform Nonlinear Regression.

Zijing Jiang1, Qun Ding1

  • 1Electronic Engineering College, Heilongjiang University, Harbin 150080, China.

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|March 29, 2023
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Summary
This summary is machine-generated.

This study introduces a new side-channel analysis method using nonlinear regression to improve key recovery in encryption devices. The enhanced technique overcomes limitations of traditional linear regression, offering better accuracy in high-noise environments.

Keywords:
FPGAblock cipherlinear regressionorthogonal transformtemplate analysis

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Area of Science:

  • Cryptography and Information Security
  • Applied Mathematics
  • Computer Engineering

Background:

  • Side-channel analysis (SCA) poses a significant threat to information security by exploiting physical leakage from cryptographic devices.
  • Linear regression-based XOR leakage models are common in SCA but suffer from singular matrix irreversibility and poor data fit, especially with masked algorithms.
  • Existing template analysis methods struggle with accuracy and robustness against noise and complex masking techniques.

Purpose of the Study:

  • To propose a novel second-order template analysis method to address the limitations of linear regression in side-channel analysis.
  • To enhance the accuracy and robustness of key recovery in cryptographic devices, particularly under noisy conditions.
  • To improve the data fitting capabilities of template analysis for masked cryptographic implementations.

Main Methods:

  • Developed a second-order template analysis method utilizing orthogonal transformation and nonlinear regression.
  • Introduced modifications to the regression coefficient matrix calculation, including adding a negative direction, to resolve singularity issues.
  • Conducted comparative experiments on the SAKURA-G platform, evaluating the proposed method against regression, Gaussian, and clustering-based template analyses.

Main Results:

  • The proposed orthogonal transformation nonlinear regression method effectively overcomes the irreversibility of singular matrices and improves model accuracy.
  • Experimental results on SAKURA-G demonstrate that the second-order template analysis achieves key recovery without performance degradation compared to regression estimation.
  • The established template exhibits good universality, performing well under high noise and high-order template analysis conditions.

Conclusions:

  • The second-order template analysis based on orthogonal transformation nonlinear regression offers a robust and accurate solution for side-channel analysis.
  • This advanced method enhances the security of cryptographic devices by providing effective key recovery against sophisticated attacks.
  • The technique demonstrates significant potential for securing embedded systems and protecting sensitive information in real-world applications.