On the efficiency of lattice-based cryptographic schemes on graphical processing unit

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2016

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Yüce Tok, Zaliha

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Lattice-based cryptography, a quantum-resistant public key alternative, has received a lot of attention due to the asymptotic efficiency. However, there is a bottleneck to get this advantage on practice: scheme-based arithmetic operations and platform-based implementations. In this thesis, we discuss computational aspects of lattice-based cryptographic schemes focused on NTRU and GLP in view of the time complexity on both CPUs and Graphical Processing Units (GPU). We focus on the optimization of polynomial multiplication methods both on theoretical and implementation point of view. We propose a modified version of interleaved Montgomery modular multiplication algorithm for ideal lattices, sparse polynomial multiplication and its sliding window version for efficient implementations. We show that with the proposed algorithms we significantly improve the performance results of lattice-based signature schemes. We also implement parallelized version of well known polynomial multiplication algorithms such as schoolbook method, NTT by using CUDA and provide a library for selected lattice-based signature schemes on a GPU.

Subject Keywords

Graphics processing units., Cryptography., Lattice theory., Polynomials.

URI

http://etd.lib.metu.edu.tr/upload/12620635/index.pdf
https://hdl.handle.net/11511/26176

Collections

Graduate School of Applied Mathematics, Thesis

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Citation Formats

Z. Yüce Tok, “On the efficiency of lattice-based cryptographic schemes on graphical processing unit,” Ph.D. - Doctoral Program, Middle East Technical University, 2016.