$Faster Linear Transformations in <inline-formula> <tex-math notation="LaTeX">$\textsf{HElib}$ </tex-math></inline-formula>, Revisited$

Faster Linear Transformations in <inline-formula> <tex-math notation="LaTeX">$\textsf{HElib}$ </tex-math></inline-formula>, Revisited

HElib is a C++ library that implements fully homomorphic encryption (FHE). This supports homomorphic linear transformations on plaintext slots which consist of many rotation operations on plaintext slots, and currently, each rotation involves one or two automorphisms. In this paper, we describe a ne...

Full description

Bibliographic Details
Main Authors:	Jung Hee Cheon, Hyeongmin Choe, Donghwan Lee, Yongha Son
Format:	Article
Language:	English
Published:	IEEE 2019-01-01
Series:	IEEE Access
Subjects:	Fully homomorphic encryptions implementation linear transformations
Online Access:	https://ieeexplore.ieee.org/document/8691744/

Similar Items

Ratio of Two Envelopes Taken From <inline-formula> <tex-math notation="LaTeX">$\alpha$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\mu$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$\eta$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\mu$ </tex-math></inline-formula>, and <inline-formula> <tex-math notation="LaTeX">$\kappa$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\mu$ </tex-math></inline-formula> Variates and Some Practical Applications
by: Carlos Rafael Nogueira Da Silva, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$t/t$ </tex-math></inline-formula>-Diagnosability and <inline-formula> <tex-math notation="LaTeX">$t/k$ </tex-math></inline-formula>-Diagnosability for Augmented Cube Networks
by: Jiarong Liang, et al.
Published: (2018-01-01)

<inline-formula><tex-math notation="LaTeX">$V$</tex-math></inline-formula>- and <inline-formula><tex-math notation="LaTeX">$W$</tex-math></inline-formula>-Band Millimeter-Wave GaN MMICs
by: Timothy Sonnenberg, et al.
Published: (2023-01-01)

New Bounds for All Types of Multi-state Consecutive <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Out-of-<inline-formula> <tex-math notation="LaTeX">$r$ </tex-math></inline-formula>-From-<inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>: F System Reliability
by: Taha Radwan
Published: (2019-01-01)

Impact of Nonlinearity Including Bleaching in <inline-formula><tex-math notation="LaTeX">$p$</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">$i$</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">$n$</tex-math></inline-formula> Photodetectors on RF-Modulated Electro-Optic Frequency Combs
by: Seyed Ehsan Jamali Mahabadi, et al.
Published: (2021-01-01)

Structure Connectivity and Substructure Connectivity of <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Ary <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-Cube Networks
by: Guozhen Zhang, et al.
Published: (2019-01-01)

Optimization of (<inline-formula> <tex-math notation="LaTeX">${R}$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">${Q}$ </tex-math></inline-formula>) Policies for Assembly Inventory Systems With Operating Flexibility
by: Peng Li, et al.
Published: (2019-01-01)

SISO Intuitionistic Fuzzy Systems: IF-<inline-formula> <tex-math notation="LaTeX">${t}$ </tex-math></inline-formula>-Norm, IF-<inline-formula> <tex-math notation="LaTeX">${R}$ </tex-math></inline-formula>-Implication, and Universal Approximators
by: Jiansheng Li, et al.
Published: (2019-01-01)

High Order Mesh Denoising via <inline-formula> <tex-math notation="LaTeX">$\ell_{P}$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\ell_{1}$ </tex-math></inline-formula> Minimization
by: Zheng Liu, et al.
Published: (2019-01-01)

Innovative Target Tracking Method Combined Adaptive <inline-formula> <tex-math notation="LaTeX">$\alpha$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\beta$ </tex-math></inline-formula> Filter With Robust BPNN
by: Bo Li
Published: (2019-01-01)

Optimal PI<inline-formula> <tex-math notation="LaTeX">$^{{\lambda}}$ </tex-math></inline-formula>D<inline-formula> <tex-math notation="LaTeX">$^{{\mu}}$ </tex-math></inline-formula> Controller Design for Two Wheeled Inverted Pendulum
by: Huseyin Oktay Erkol
Published: (2018-01-01)

<inline-formula> <tex-math notation="LaTeX">$DBO$ </tex-math></inline-formula> Trajectory Planning and <inline-formula> <tex-math notation="LaTeX">$HAHP$ </tex-math></inline-formula> Decision-Making for Autonomous Vehicle Driving on Urban Environment
by: Dequan Zeng, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$\tau$ </tex-math></inline-formula>-Safe (<inline-formula> <tex-math notation="LaTeX">$l,k$ </tex-math></inline-formula>)-Diversity Privacy Model for Sequential Publication With High Utility
by: Hui Zhu, et al.
Published: (2019-01-01)

A Varactor-Less DCO With <inline-formula> <tex-math notation="LaTeX">$7~GHz$ </tex-math></inline-formula> Tuning Range for <inline-formula> <tex-math notation="LaTeX">$77~GHz$ </tex-math></inline-formula> Automotive Radars
by: Iman Taha, et al.
Published: (2019-01-01)

Mixed Noise Removal for Hyperspectral Image With <inline-formula><tex-math notation="LaTeX">${l_{0}}$</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">${l_{1 - 2}}$</tex-math></inline-formula>SSTV Regularization
by: Li Zhang, et al.
Published: (2022-01-01)

A H<inline-formula> <tex-math notation="LaTeX">$_{\infty}$ </tex-math></inline-formula> PI<inline-formula> <tex-math notation="LaTeX">$_{\varepsilon}$ </tex-math></inline-formula>D-Based Observer Designed by LMI for Some Special System
by: Yong Sun, et al.
Published: (2019-01-01)

Low Space Complexity <inline-formula> <tex-math notation="LaTeX">$GF(2^m)$ </tex-math></inline-formula> Multiplier for Trinomials Using <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-Term Karatsuba Algorithm
by: Sun-Mi Park, et al.
Published: (2019-01-01)

Space Efficient <inline-formula> <tex-math notation="LaTeX">$GF(2^m)$ </tex-math></inline-formula> Multiplier for Special Pentanomials Based on <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-Term Karatsuba Algorithm
by: Sun-Mi Park, et al.
Published: (2020-01-01)

BP<inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>NN: <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Nearest Neighbor Classifier With Pairwise Distance Metrics and Belief Function Theory
by: Lianmeng Jiao, et al.
Published: (2019-01-01)

Availability Analysis and Optimal Design of Multistate Weighted <inline-formula> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula>-Out-of-<inline-formula> <tex-math notation="LaTeX">${n}$ </tex-math></inline-formula> Systems With Component Performance Requirements
by: Zhiwei Chen, et al.
Published: (2018-01-01)

Overcomplete Transform Learning With the <inline-formula> <tex-math notation="LaTeX">$log$ </tex-math></inline-formula> Regularizer
by: Zhenni Li, et al.
Published: (2018-01-01)

<inline-formula> <tex-math notation="LaTeX">$\beta$ </tex-math></inline-formula>-Dropout: A Unified Dropout
by: Lei Liu, et al.
Published: (2019-01-01)

Fast Algebraic Immunity of <inline-formula> <tex-math notation="LaTeX">$2^m+2$ </tex-math></inline-formula> & <inline-formula> <tex-math notation="LaTeX">$2^m+3$ </tex-math></inline-formula> Variables Majority Function
by: Yindong Chen, et al.
Published: (2019-01-01)

The <inline-formula> <tex-math notation="LaTeX">$G_M$ </tex-math></inline-formula>-Contraction Principle for Mappings on an <inline-formula> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula>-Metric Spaces Endowed With a Graph and Fixed Point Theorems
by: Nizar Souayah, et al.
Published: (2018-01-01)

<inline-formula> <tex-math notation="LaTeX">$H_2$ </tex-math></inline-formula>/<inline-formula> <tex-math notation="LaTeX">$H_\infty$ </tex-math></inline-formula> Simultaneous Fault Detection and Control for Markov Jump Linear Systems With Partial Observation
by: Leonardo De Paula Carvalho, et al.
Published: (2020-01-01)

Design and Analysis of a Graded-Index Strained Si<inline-formula><tex-math notation="LaTeX">$_{1-x}$ </tex-math></inline-formula>Ge<inline-formula><tex-math notation="LaTeX">$_x$</tex-math></inline-formula> Optical PN Phase Shifter
by: Darpan Mishra, et al.
Published: (2018-01-01)

Optimal Setting and Control Strategy for Industrial Process Based on Discrete-Time Fractional-Order PI<inline-formula> <tex-math notation="LaTeX">$^{\lambda}$ </tex-math></inline-formula>D<inline-formula> <tex-math notation="LaTeX">$^{\mu}$ </tex-math></inline-formula>
by: Fengxue Zhang, et al.
Published: (2019-01-01)

Texture-Aware Deblurring for Remote Sensing Images Using <inline-formula><tex-math notation="LaTeX">$ \ell _0$</tex-math></inline-formula>-Based Deblurring and <inline-formula><tex-math notation="LaTeX">$ \ell _2$</tex-math></inline-formula>-Based Fusion
by: Heunseung Lim, et al.
Published: (2020-01-01)

The <inline-formula> <tex-math notation="LaTeX">$r$ </tex-math></inline-formula>-Restricted Connectivity of Hyper Petersen Graphs
by: Shiying Wang
Published: (2019-01-01)

Reverse Spatial Visual Top-<inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> Query
by: Lei Zhu, et al.
Published: (2020-01-01)

Robust 2DPCA With <inline-formula> <tex-math notation="LaTeX">${F}$ </tex-math></inline-formula>-Norm Minimization
by: Yong Wang, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$\rho$ </tex-math></inline-formula>-Dominant Skyline Computation on Data Stream
by: Zhiqiong Wang, et al.
Published: (2018-01-01)

<inline-formula> <tex-math notation="LaTeX">$\eta$ </tex-math></inline-formula>_CODE: A Differential Evolution With <inline-formula> <tex-math notation="LaTeX">$\eta$ </tex-math></inline-formula>_Cauchy Operator for Global Numerical Optimization
by: Libao Deng, et al.
Published: (2019-01-01)

Physical Layer Security in <inline-formula> <tex-math notation="LaTeX">$K$ </tex-math></inline-formula>-Tier Heterogeneous Cellular Networks Over Nakagami-<inline-formula> <tex-math notation="LaTeX">$m$ </tex-math></inline-formula> Channel During Uplink and Downlink Phases
by: Shijie Wang, et al.
Published: (2019-01-01)

InGaN-LD-Pumped <inline-formula> <tex-math notation="TeX">${\rm Pr}^{3+}$</tex-math></inline-formula>: <inline-formula> <tex-math notation="TeX">${\rm LiYF}_{4}$</tex-math></inline-formula> Continuous-Wave Laser at 915 nm
by: Biao Qu, et al.
Published: (2014-01-01)

Safe Semi-Supervised Fuzzy <inline-formula> <tex-math notation="LaTeX">${C}$ </tex-math></inline-formula>-Means Clustering
by: Haitao Gan
Published: (2019-01-01)

The <inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula>-Extra Connectivity and Diagnosability of Locally Twisted Cubes
by: Shiying Wang, et al.
Published: (2019-01-01)

Efficient Authentication of Multi-Dimensional Top-<inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> Queries
by: Xiaoyu Zhu, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$ezswap$ </tex-math></inline-formula>: Enhanced Compressed Swap Scheme for Mobile Devices
by: Jongseok Kim, et al.
Published: (2019-01-01)

Design and Analysis of 0.5-<inline-formula> <tex-math notation="LaTeX">$f_{\mathrm{T}}$ </tex-math></inline-formula> Bandwidth THAs With Resolution Enhancement Techniques in 0.18-<inline-formula> <tex-math notation="LaTeX">$\mu$ </tex-math></inline-formula>m SiGe Process
by: Yu-An Lin, et al.
Published: (2019-01-01)