A NEW EFFICIENT TMVP ALGORITHM AND AN APPLICATION FOR POST-QUANTUM CRYPTOGRAPHY

Date

2023-9-25

Author

Gökce, Anıl Burak

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With the advancements in quantum computing, traditional cryptography is considered to have little life in the future. That's why NIST initiated a Post-quantum cryptography-related project in order to standardize quantum-secure cryptography. With the latest report on this project, the dominating quantum-secure problems appear to stem from lattice structures. Thus, efficient implementation techniques on multiplications of lattice elements, which is the bottleneck of lattice-based cryptography, emerged as an important topic. In this thesis, we propose a new 5-way split TMVP algorithm and its application to lattice multiplications with an implementation of the lattice-based algorithm NTRU KEM. The results are promising, showing up to $34\%$, $35\%$, and $157\%$ speed-up against Toom4-Karatsuba implementation in key generation, encapsulation, and decapsulation, respectively.

Subject Keywords

Post-Quantum Cryptography, TMVP, Polynomial Multiplication, NTRU KEM, Lattice-based Cryptography

URI

https://hdl.handle.net/11511/105378

Collections

Graduate School of Applied Mathematics, Thesis