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The Learning With Errors (LWE) cryptographic system is a lattice-based approach that introduces errors into linear equations to ensure security. An extension of this system, known as Ring Learning With Errors (ring LWE), generalizes the LWE framework to polynomial rings, providing enhanced efficiency and scalability. This paper presents the application of ring LWE to a key exchange protocol grounded in the discrete logarithm problem, specifically the Diffie-Hellman key exchange. The focus is on developing the ring LWE-based protocol for secure key exchange among n entities.

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Diffie-Hellman Key Exchange Protocol Based on Ring LWE with n Entities

  • 会议论文

  • 发表日期：

    2025年

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  • Uha Isnaini,
  • Indriani Safitri

摘要

The Learning With Errors (LWE) cryptographic system is a lattice-based approach that introduces errors into linear equations to ensure security. An extension of this system, known as Ring Learning With Errors (ring LWE), generalizes the LWE framework to polynomial rings, providing enhanced efficiency and scalability. This paper presents the application of ring LWE to a key exchange protocol grounded in the discrete logarithm problem, specifically the Diffie-Hellman key exchange. The focus is on developing the ring LWE-based protocol for secure key exchange among n entities.