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A Regev-type fully homomorphic encryption scheme using modulus switching.

Zhigang Chen1, Jian Wang2, Liqun Chen3

  • 1College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China ; College of Computer and Information, Zhejiang Wanli University, Ningbo, Zhejiang 315100, China ; Information Security Group, Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK.

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Summary
This summary is machine-generated.

Managing noise in fully homomorphic encryption (FHE) is crucial. This study introduces a novel parameter selection method for modulus switching in FHE, enhancing efficiency and security.

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Area of Science:

  • Cryptography
  • Computer Science
  • Information Security

Background:

  • Noise management is a critical challenge in fully homomorphic encryption (FHE) schemes.
  • Modulus switching is the most efficient technique for noise management in FHE.
  • Parameter selection for modulus switching in FHE has received limited attention in existing research.

Purpose of the Study:

  • To address the gap in parameter selection for modulus switching in FHE.
  • To propose a method for determining the lower bound of dimension values in modulus switching based on LWE security levels.
  • To enhance the efficiency of the Brakerski FHE scheme through optimized parameter selection.

Main Methods:

  • Development of a function to calculate the lower bound of dimension values for modulus switching.
  • Modification of the Brakerski FHE scheme (Crypto 2012) incorporating the proposed modulus switching technique.
  • Security analysis and performance evaluation of the modified scheme with recommended parameters.

Main Results:

  • A novel function for dimension value lower bound in modulus switching is proposed, dependent on LWE security.
  • The modified Brakerski FHE scheme demonstrates improved efficiency compared to the original scheme.
  • Concrete parameter values are recommended for the enhanced FHE scheme.

Conclusions:

  • The proposed parameter selection method for modulus switching effectively enhances FHE scheme efficiency.
  • The modified Brakerski scheme offers a more efficient solution for FHE with comparable security levels.
  • This research highlights the importance of parameter optimization in FHE design.