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Indistinguishability under adaptive chosen-ciphertext attack secure double-NTRU-based key encapsulation mechanism.

Kübra Seyhan^1,2, Sedat Akleylek^1,2,3

¹Department of Computer Engineering, Ondokuz Mayis University, Samsun, Turkey.

Peerj. Computer Science

|June 22, 2023

Summary

This study introduces a double-NTRU (D-NTRU) based key encapsulation mechanism (KEM) for post-quantum cryptography. The new D-NTRU KEM offers indistinguishability under adaptive chosen-ciphertext attack (IND-CCA2) security without needing padding.

Keywords:

Key encapsulation mechanism Lattice-based cryptography NTRU Post-quantum cryptography

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Title Cell Encapsulation by Droplets

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Area of Science:

Cryptography and Information Security
Post-Quantum Cryptography

Background:

The need for quantum-resistant cryptographic solutions is critical.
Existing key agreement protocols face challenges in the post-quantum era.

Purpose of the Study:

To propose a novel double-NTRU (D-NTRU) based key encapsulation mechanism (KEM).
To achieve indistinguishability under adaptive chosen-ciphertext attack (IND-CCA2) security for post-quantum key agreement.

Main Methods:

Combining one-way D-NTRU encryption with Dent's KEM design.
Detailed analysis of IND-CCA2 security and primal/dual attack resistance.
Comparative analysis of parameters, key sizes, and ciphertext sizes with similar protocols.

Main Results:

Construction of a D-NTRU based KEM.
Demonstration of IND-CCA2 security without requiring a padding mechanism.
Arithmetic simplicity and efficiency highlighted through comparisons.

Conclusions:

The proposed D-NTRU KEM is a viable solution for post-quantum key agreement.
The scheme offers robust security guarantees (IND-CCA2) with practical advantages.
Further research can explore optimizations and broader applications of D-NTRU.