Lock-Free GaussSieve for Linear Speedups in Parallel High Performance SVP Calculation

• Artur Mariano Technische Universität Darmstadt
• Shahar Timnat Technion - Israel Institute of Technology
• Christian Bischof Technische Universität Darmstadt

Resumo

Lattice-based cryptography became a hot-topic in the past years because it seems to be quantum immune, i.e., resistant to attacks operated with quantum computers. The security of lattice-based cryptosystems is determined by the hardness of certain lattice problems, such as the Shortest Vector Problem (SVP). Thus, it is of prime importance to study how efficiently SVP-solvers can be implemented. This paper presents a parallel shared-memory implementation of the GaussSieve algorithm, a well known SVP-solver. Our implementation achieves almost linear and linear speedups with up to 64 cores, depending on the tested scenario, and delivers better sequential performance than any other disclosed GaussSieve implementation. In this paper, we show that it is possible to implement a highly scalable version of GaussSieve on multi-core CPU-chips. The key features of our implementation are a lock-free singly linked list, and hand-tuned, vectorized code. Additionally, we propose an algorithmic optimization that leads to faster convergence.

Palavras-chave: Vectors, Lattices, Optimization, Kernel, Cryptography, Scalability, Libraries, GaussSieve, SVP, parallel, mul1ti-core CPU, lock-free