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A Post-Quantum Public-Key Signcryption Scheme over Scalar Integers Based on a Modified LWE Structure.

Mostefa Kara1, Mohammad Hammoudeh2, Abdullah Alamri3

  • 1Interdisciplinary Research Center for Intelligent Secure Systems, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia.

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Summary

This study introduces a new post-quantum public-key encryption and signature (PQES) scheme using simple scalar integers. This efficient method offers enhanced security against quantum attacks for devices with limited resources.

Keywords:
LWEcryptosystemlight IoTpost-quantumscalar integersigncryption

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Area of Science:

  • Cryptography
  • Computer Science
  • Information Security

Background:

  • Current post-quantum cryptography often separates encryption and digital signatures, increasing complexity.
  • Existing signcryption schemes typically use complex mathematical structures like lattices or polynomials.
  • The need for efficient and implementable quantum-resistant cryptographic solutions is growing.

Purpose of the Study:

  • To present a novel post-quantum public-key encryption and signature (PQES) scheme.
  • To develop a scheme based solely on scalar integer operations for simplicity and efficiency.
  • To enhance the implementability of quantum-resistant cryptography on constrained devices.

Main Methods:

  • Developed a PQES scheme using scalar integers modulo n for keys, ciphertext, and operations.
  • Adapted modified learning-with-errors (LWE) assumptions to a scalar setting.
  • Evaluated security and performance, including signcryption and unsigncryption times.

Main Results:

  • The proposed PQES scheme operates entirely on scalar integers, reducing computational and memory overhead.
  • Achieved signcryption time of 0.0007s and unsigncryption time of 0.0011s.
  • Demonstrated strong security properties resistant to quantum attacks.

Conclusions:

  • The novel scalar-integer-based PQES scheme offers a practical balance between efficiency and quantum resistance.
  • The simplified structure enhances implementability on resource-constrained devices.
  • This approach provides a viable alternative to complex lattice-based or ring-based post-quantum cryptographic schemes.