We have developed a novel quantum mechanical meet-in-the-middle attack method specifically targeting the NTRU cryptographic scheme. This new approach effectively integrates the strengths of the traditional meet-in-the-middle attack with the Grover quantum search algorithm, a well-known quantum computing technique that enhances search efficiencies.
Our comprehensive evaluation demonstrates that our method significantly reduces the time complexity when compared to classical meet-in-the-middle attacks. In particular, we found that the efficiency gains are dramatic, making our method more effective for attacking NTRU than previously established strategies. Furthermore, when comparing our approach to Wang’s attack algorithm, we identified an even greater reduction in time complexity, highlighting the advantages of our quantum approach.
In addition to this, we conducted an in-depth analysis of the main variants of the NTRU scheme, ensuring that our method is robust across different implementations and configurations. This thorough examination not only confirms the effectiveness of our attack but also paves the way for further research in the field of quantum cryptanalysis.
NTRU, Meet-in-the-middle Attack, Grover search, Quantum Attack, Encryption Scheme