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A Full RNS Variant of Approximate Homomorphic Encryption
Approximate Homomorphic Encryption Residue Number System
2018/11/8
The technology of homomorphic encryption has improved rapidly in a few years. The cutting edge implementations are efficient enough to use in practical applications. Recently, Cheon et al. (ASIACRYPT'...
Implementation and Performance Evaluation of RNS Variants of the BFV Homomorphic Encryption Scheme
Lattice-Based Cryptography Homomorphic Encryption Scale-Invariant Scheme
2018/6/13
Homomorphic encryption provides the ability to compute on encrypted data without ever decrypting them. Potential applications include aggregating sensitive encrypted data on a cloud environment and co...
An Improved RNS Variant of the BFV Homomorphic Encryption Scheme
implementation lattice techniques public-key cryptography
2018/2/1
We present an optimized implementation of the Fan-Vercauteren variant of the scale-invariant homomorphic encryption scheme of Brakerski. Our algorithmic improvements focus on optimizing decryption and...
Evaluation of Resilience of randomized RNS implementation
RNS moduli randomization Monte Carlo
2018/1/12
Since Hamming distances have gaussian distribution and most of the statistic tests, like NIST's ones, evaluate discrete and uniform distribution, we choose to use side-channel attacks as a tool in ord...
A Full RNS Variant of FV like Somewhat Homomorphic Encryption Schemes
Lattice-based Cryptography Homomorphic Encryption FV
2016/5/26
Since Gentry's breakthrough work in 2009, homomorphic cryptography has received a widespread attention. Implementation of a fully homomorphic cryptographic scheme is however still highly expensive. So...
Exact Error Bound of Cox-Rower Architecture for RNS Arithmetic
cryptography implementation Residue Number System
2016/3/11
Residue Number System (RNS) is a method for representing an integer as an n-tuple of its residues with respect to a given base. Since RNS has inherent parallelism, it is actively researched to impleme...
Improving Modular Inversion in RNS using the Plus-Minus Method
Hardware Implementation ECC RSA
2016/1/3
The paper describes a new RNS modular inversion algorithm
based on the extended Euclidean algorithm and the plus-minus trick. In
our algorithm, comparisons over large RNS values are replaced by chea...
A High Speed Pairing Coprocessor Using RNS and Lazy Reduction
implementation / RNS Moduli Selection Hardware Implementation of Pairing FPGA
2012/3/28
In this paper, we present a high speed pairing coprocessor using Residue Number System (RNS) and lazy reduction. We show that combining RNS, which are naturally suitable for parallel architectures, an...
A High Speed Pairing Coprocessor Using RNS and Lazy Reduction
implementation RNS Moduli Selection Hardware Implementation of Pairing FPGA
2011/6/9
In this paper, we present a high speed pairing coprocessor using Residue Number System (RNS) and lazy reduction. We show that combining RNS, which are naturally suitable for parallel architectures, an...
RNS arithmetic in F_{p^k and application to fast pairing computation
RNS arithmetic fast pairing computation
2010/11/2
In this work, we are interested in arithmetic in large prime field and their extensions of small degree. We explain why it is very interesting to use RNS arithmetic for the base field ${\mathbb F}_p$ ...
Combining leak--resistant arithmetic for elliptic curves defined over $\F_p$ and RNS representation
Elliptic curves Montgomery algorithm leak-resistance residue number system
2010/7/13
In this paper we combine the residue number system (RNS) representation and the leak-resistant arithmetic on elliptic curves. These two techniques are relevant for implementation of elliptic curve cry...