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This study presents a small private key Multivariate Quadratic (MQ) cryptography scheme for embedded systems. It significantly reduces private key size and improves signature performance using hardware AES acceleration.

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Area of Science:

  • Cryptography
  • Embedded Systems Security
  • Computer Science

Background:

  • Multivariate Quadratic (MQ) cryptography demands large keys, unsuitable for resource-constrained embedded systems.
  • Previous research focused on reducing public keys, leaving small private key implementations unexplored.
  • Efficient implementation of MQ cryptography on embedded microprocessors faces challenges due to key size and computational complexity.

Purpose of the Study:

  • To propose a feasible implementation of a small private key MQ scheme for embedded microprocessors.
  • To address the limitations of existing MQ cryptographic schemes in embedded environments.
  • To enhance the efficiency and performance of MQ cryptography on resource-limited devices.

Main Methods:

  • Developed a small private key MQ scheme utilizing a pseudo-random number generator and hash function.
  • Leveraged a hardware Advanced Encryption Standard (AES) accelerator for efficient computation.
  • Employed parallel computation, on-the-fly computation, optimized logarithm representation, vinegar monomials, and assembly programming for performance optimization.

Main Results:

  • Achieved a reduction in private key size by approximately 99.9%.
  • Improved signature generation performance by 5.78% compared to previous benchmarks.
  • Enhanced signature verification performance by 12.19% compared to previous benchmarks.

Conclusions:

  • The proposed method offers a feasible and efficient solution for implementing small private key MQ cryptography on embedded microprocessors.
  • The integration of hardware AES acceleration and optimized implementation techniques significantly overcomes previous performance bottlenecks.
  • This work paves the way for more secure and practical cryptographic solutions in embedded systems.