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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A New Framework for SIMD Bootstrapping in Polynomial Modulus
多项式 模数 SIMD自举 新框架
2023/4/28
In this series of work, we aim at improving the bootstrapping paradigm for fully homomorphic encryption (FHE). Our main goal is to show that the amortized cost of bootstrapping within a polynomial mod...
Bootstrapping Consensus Without Trusted Setup: Fully Asynchronous Distributed Key Generation
threshold cryptography distributed cryptography asynchronous consensus
2019/9/16
In this paper, we present the first fully asynchronous distributed key generation (ADKG) algorithm as well as the first distributed key generation algorithm that can create keys with a dual (f,2f+1)&#...
A Note on Lower Digits Extraction Polynomial for Bootstrapping
Fully Homomorphic Encryption Bootstrapping
2019/6/12
Bootstrapping is a crucial but computationally expensive step for realizing Fully Homomorphic Encryption (FHE). Recently, Chen and Han (Eurocrypt 2018) introduced a family of low-degree polynomials to...
Better Bootstrapping for Approximate Homomorphic Encryption
Homomorphic Encryption Bootstrapping Polynomial Approximation
2019/6/12
After Cheon et al. (Asiacrypt' 17) proposed approximate homomorphic encryption for operations between encrypted real (or complex) numbers, this scheme is widely used in various fields with the needs o...
Faster Bootstrapping of FHE over the integers with large prime message space
Fully homomorphic encryption Bootstrapping Restricted depth-3 circuit
2019/5/27
Faster Homomorphic Discrete Fourier Transforms and Improved FHE Bootstrapping
Discrete Fourier Transform Homomorphic Encryption Bootstrapping
2018/11/12
In this work, we propose a faster homomorphic linear transform algorithm for structured matrices such as the discrete Fourier transform (DFT) and linear transformations in bootstrapping.
Improved Bootstrapping for Approximate Homomorphic Encryption
Fully Homomorphic Encryption Bootstrapping
2018/11/2
Since Cheon et al. introduced a homomorphic encryption scheme for approximate arithmetic (Asiacrypt ’17), it has been recognized as suitable for important real-life usecases of homomorphic encryption,...
New Methods for Indistinguishability Obfuscation: Bootstrapping and Instantiation
indistinguishability obfuscation functional encryption bootstrapping
2018/6/27
In a recent work, Lin and Tessaro [LT17] (LT) show that iO may be constructed using i) Functional Encryption (FE) for polynomials of degree LL , ii) Pseudorandom Generators (PRG) with blockwise locali...
Ring packing and amortized FHEW bootstrapping
Fully Homomorphic Encryption Bootstrapping Lattice-based Cryptography
2018/6/5
The FHEW fully homomorphic encryption scheme (Ducas and Micciancio, Eurocrypt 2015) offers very fast homomorphic NAND-gate computations (on encrypted data) and a relatively fast refreshing procedure t...
Decentralized cryptocurrencies rely on participants to keep track of the state of the system in order to verify new transactions. As the number of users and transactions grows, this requirement places...
Bootstrapping for Approximate Homomorphic Encryption
Homomorphic encryption approximate arithmetic bootstrapping
2018/3/7
This paper extends the leveled homomorphic encryption scheme for an approximate arithmetic of Cheon et al. (ASIACRYPT 2017) to a fully homomorphic encryption, i.e., we propose a new technique to refre...
Homomorphic Lower Digits Removal and Improved FHE Bootstrapping
Fully Homomorphic Encryption Bootstrapping
2018/1/19
Bootstrapping is a crucial operation in Gentry's breakthrough work on fully homomorphic encryption (FHE), where a homomorphic encryption scheme evaluates its own decryption algorithm. There has been a...
Improved Fully Homomorphic Encryption without Bootstrapping
fully homomorphic public-key encryption multivariate algebraic equation
2017/8/10
Gentry’s bootstrapping technique is the most famous method of obtaining fully homomorphic encryption. In previous work I proposed a fully homomorphic encryption without bootstrapping which has the wea...
Faster Bootstrapping with Multiple Addends
fully homomorphic encryption bootstrapping process accumulator
2017/8/2
As an important cryptographic primitive in cloud computing and outsourced computation, fully homomorphic encryption (FHE) is an animated area of modern cryptography. However, the efficiency of FHE has...
Improving TFHE: faster packed homomorphic operations and efficient circuit bootstrapping
FHE leveled bootstrapping
2017/5/23
In this paper, we present several methods to improve the evaluation of homomorphic functions, both for fully and for leveled homomorphic encryption. We propose two packing methods, in order to decreas...