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Selected Areas in Cryptography: 28th International Conference, Virtual Event, September 29 – October 1, 2021, Revised Selected Papers 密码学的选定领域:第28届国际会议,虚拟事件,2021年9月29日至10月1日,修订的论文选集
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引用次数: 1
Selected Areas in Cryptography: 27th International Conference, Halifax, NS, Canada (Virtual Event), October 21-23, 2020, Revised Selected Papers 密码学的选定领域:第27届国际会议,哈利法克斯,NS,加拿大(虚拟事件),2020年10月21日至23日,修订的论文选集
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引用次数: 1
PRINCEv2
Dušan Božilov, Maria Eichlseder, M. Knežević, Baptiste Lambin, G. Leander, Thorben Moos, V. Nikov, Shahram Rasoolzadeh, Yosuke Todo, Friedrich Wiemer
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引用次数: 1
A Full RNS Variant of Approximate Homomorphic Encryption. 近似同态加密的全RNS变体。
Pub Date : 2018-01-01 Epub Date: 2019-01-13 DOI: 10.1007/978-3-030-10970-7_16
Jung Hee Cheon, Kyoohyung Han, Andrey Kim, Miran Kim, Yongsoo Song

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. (ASI-ACRYPT'17) proposed a homomorphic encryption scheme which supports an arithmetic of approximate numbers over encryption. This scheme shows the current best performance in computation over the real numbers, but its implementation could not employ core optimization techniques based on the Residue Number System (RNS) decomposition and the Number Theoretic Transformation (NTT). In this paper, we present a variant of approximate homomorphic encryption which is optimal for implementation on standard computer system. We first introduce a new structure of ciphertext modulus which allows us to use both the RNS decomposition of cyclotomic polynomials and the NTT conversion on each of the RNS components. We also suggest new approximate modulus switching procedures without any RNS composition. Compared to previous exact algorithms requiring multi-precision arithmetic, our algorithms can be performed by using only word size (64-bit) operations. Our scheme achieves a significant performance gain from its full RNS implementation. For example, compared to the earlier implementation, our implementation showed speed-ups 17.3, 6.4, and 8.3 times for decryption, constant multiplication, and homomorphic multiplication, respectively, when the dimension of a cyclotomic ring is 32768. We also give experimental result for evaluations of some advanced circuits used in machine learning or statistical analysis. Finally, we demonstrate the practicability of our library by applying to machine learning algorithm. For example, our single core implementation takes 1.8 minutes to build a logistic regression model from encrypted data when the dataset consists of 575 samples, compared to the previous best result 3.5 minutes using four cores.

同态加密技术在近几年得到了迅速的发展。尖端的实现足够高效,可以在实际应用中使用。最近,Cheon等人(ASI-ACRYPT'17)提出了一种支持近似数字算法的同态加密方案。该方案在实数计算方面具有目前最好的性能,但其实现不能采用基于残数系统分解和数论变换的核心优化技术。本文提出了一种最适合在标准计算机系统上实现的近似同态加密算法。我们首先引入了一种新的密文模结构,它允许我们在每个RNS分量上同时使用环分多项式的RNS分解和NTT转换。我们还提出了新的近似模量转换程序,不需要任何RNS成分。与以前需要多精度运算的精确算法相比,我们的算法只需使用字长(64位)运算即可执行。我们的方案通过其完整的RNS实现实现了显著的性能增益。例如,与之前的实现相比,当切环的维数为32768时,我们的实现对解密、常数乘法和同态乘法的速度分别提高了17.3倍、6.4倍和8.3倍。我们还给出了一些用于机器学习或统计分析的高级电路的实验结果。最后,我们通过应用于机器学习算法来证明我们的库的实用性。例如,当数据集包含575个样本时,我们的单核实现需要1.8分钟才能从加密数据构建逻辑回归模型,而使用四核的最佳结果为3.5分钟。
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引用次数: 188
Selected Areas in Cryptography: 9th Annual International Workshop, SAC 2002 St. John’s, Newfoundland, Canada, August 15–16, 2002 Revised Papers 密码学领域:第9届国际研讨会,2002年8月15-16日,加拿大,纽芬兰,圣约翰
J. V. Leeuwen, K. Nyberg, H. Heys, J. V. Leeuwen
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引用次数: 4
期刊
Selected areas in cryptography : ... annual international workshop, SAC ... proceedings. SAC (Conference)
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