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ARITH
2015
IEEE

RNS Arithmetic Approach in Lattice-Based Cryptography: Accelerating the "Rounding-off" Core Procedure

4 years 10 months ago
RNS Arithmetic Approach in Lattice-Based Cryptography: Accelerating the "Rounding-off" Core Procedure
Abstract—Residue Number Systems (RNS) are naturally considered as an interesting candidate to provide efficient arithmetic for implementations of cryptosystems such as RSA, ECC (Elliptic Curve Cryptography), pairings, etc. More recently, RNS have been used to accelerate fully homomorphic encryption as lattice-based cryptogaphy. In this paper, we present an RNS algorithm resolving the Closest Vector Problem (CVP). This algorithm is particularly efficient for a certain class of lattice basis. It provides a full RNS Babai round-off procedure without any costly conversion into alternative positional number system such as Mixed Radix System (MRS). An optimized Cox-Rower architecture adapted to the proposed algorithm is also presented. The main modifications reside in the Rower unit whose feature is to use only one multiplier. This allows to free two out of three multipliers from the Rower unit by reusing the same one with an overhead of 3 more cycles per inner reduction. An analysis of...
Jean-Claude Bajard, Julien Eynard, Nabil Merkiche,
Added 16 Apr 2016
Updated 16 Apr 2016
Type Journal
Year 2015
Where ARITH
Authors Jean-Claude Bajard, Julien Eynard, Nabil Merkiche, Thomas Plantard
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