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Practical NTRU Signcryption in the Standard Model.

Jianhua Yan1, Xiuhua Lu2, Muzi Li3

  • 1School of Information and Electric Engineering, Ludong University, Yantai 264025, China.

Entropy (Basel, Switzerland)
|December 23, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces an efficient lattice-based signcryption scheme using NTRU trapdoors, enhancing security and reducing computational overhead. The novel approach ensures existential unforgeability and IND-CCA2 security, outperforming existing methods.

Keywords:
IND-CCA2NTRU signcryptionlatticepartitioning techniquequantum-resistant

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Area of Science:

  • Cryptography
  • Lattice-based cryptography
  • Post-quantum cryptography

Background:

  • NTRU trapdoor is a key component in NIST's Falcon signature scheme.
  • Existing lattice-based signcryption methods face challenges in security reduction due to pre-image limitations.
  • Sign-then-encrypt paradigm is a common approach for constructing signcryption schemes.

Purpose of the Study:

  • To construct an efficient and secure lattice-based signcryption scheme.
  • To address the security reduction challenges in existing lattice-based signcryption.
  • To improve the computational efficiency of lattice-based signcryption.

Main Methods:

  • A novel signcryption scheme is constructed based on the NTRU trapdoor.
  • A variant of Waters hash over small integers is proposed to overcome pre-image partiality.
  • A method for tamper-sensitive lattice public key encryption is developed.
  • Security is analyzed for existential unforgeability and IND-CCA2 security.

Main Results:

  • The proposed signcryption scheme achieves existential unforgeability under adaptive chosen-message attacks.
  • The scheme eliminates the need for an encryption tag by utilizing NTRU properties.
  • A significant reduction in computational overhead, orders of magnitude improvement, is achieved compared to existing schemes.
  • Experimental results confirm the efficiency of the proposed scheme.

Conclusions:

  • The developed lattice-based signcryption scheme offers enhanced security and efficiency.
  • The novel hash function variant effectively addresses previous security reduction limitations.
  • The scheme provides a practical and efficient solution for secure communication in the post-quantum era.