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1 IRIT - Institut de recherche en informatique de Toulouse 2 LAAS-TSF - Équipe Tolérance aux fautes et Sûreté de Fonctionnement informatique LAAS - Laboratoire d-analyse et d-architecture des systèmes Toulouse 3 Quarkslab 4 CryptoExperts

Abstract : Recent years have witnessed an increased interest in lattice cryptography. Besides its strong security guarantees, its simplicity and versatility make this powerful theoretical tool a promising competitive alternative to classical cryptographic schemes. In this paper, we introduce NFLlib, an efficient and open-source C++ library dedicated to ideal lattice cryptography in the widely-spread polynomial ring Zpx-x n + 1 for n a power of 2. The library combines al-gorithmic optimizations Chinese Remainder Theorem, optimized Number Theoretic Transform together with programming optimization techniques SSE and AVX2 specializations, C++ expression templates, etc., and will be fully available under the GPL license. The library compares very favorably to other libraries used in ideal lattice cryptography implementations namely the generic number theory libraries NTL and flint implementing polynomial arithmetic, and the optimized library for lattice homomorphic encryption HElib: restricting the library to the aforementioned polynomial ring allows to gain several orders of magnitude in efficiency.

Keywords : SEE Spe-cializations C++ Library Implementation Ideal Lattice Cryptography Number Theoretic Transform Chinese Remainder Theorem

Autor: Carlos Aguilar-Melchor - Joris Barrier - Serge Guelton - Adrien Guinet - Marc-Olivier Killijian - Tancrede Lepoint -



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