EAGER: Homomorphic Encryption, Ideal Membership, and Fourier Transforms
EAGER: Homomorphic Encryption, Ideal Membership, and Fourier Transforms
批准号:
1349908
负责人:
Jeffrey Hoffstein
金额:
$29.94万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2013
资助国家:
美国
项目状态:
已结题
起止时间:
2013-10-01 至 2016-09-30
中文摘要
该项目旨在简化全同态加密 (FHE) 的证明并降低 FHE 算法的计算复杂性,其灵感来自于格理论的新方法。 如果 FHE 在计算上是实用的,它将改变云计算和存储的安全实践,从而产生显着的经济和社会效益。
英文摘要
This project seeks to simplify the proof of fully homomorphic encryption (FHE) and reduce the computational complexity of the FHE algorithm, motivated by new approaches in lattice theory. If FHE were computationally practical, it would change security practices in cloud computing and storage that would have significant economic and social benefits.
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会议论文
Collaborative Research: SaTC: TTP: Medium: NextGenPQ: Post-quantum Schemes for Next Generation Applications
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批准号:2026921
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项目类别:Standard Grant
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资助金额:$30.0万
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财政年份:2020
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负责人:Jeffrey Hoffstein
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依托单位:
TWC: Medium: Collaborative: Development and Evaluation of Next Generation Homomorphic Encryption Schemes
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批准号:1561709
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项目类别:Standard Grant
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资助金额:$35.78万
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财政年份:2016
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负责人:Jeffrey Hoffstein
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依托单位:
Arithmetic 2015: Elliptic Curves, Diophantine Geometry, and Dynamics
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批准号:1517886
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项目类别:Standard Grant
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资助金额:$2.95万
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财政年份:2015
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负责人:Jeffrey Hoffstein
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依托单位:
FRG: Collaborative Research: Combinatorial representation theory, multiple Dirichlet series and moments of L-functions.
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批准号:0652312
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项目类别:Standard Grant
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资助金额:$22.54万
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财政年份:2007
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负责人:Jeffrey Hoffstein
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依托单位:
Collaborative Research: FRG: Applications of Multiple Dirichlet Series to Analytic Number Theory
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批准号:0354534
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项目类别:Continuing Grant
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资助金额:$0.0万
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财政年份:2004
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负责人:Jeffrey Hoffstein
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依托单位:
Applications of Double Dirichlet Series to Automorphic Forms and Number Theory
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批准号:0088921
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项目类别:Continuing Grant
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资助金额:$8.7万
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财政年份:2000
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负责人:Jeffrey Hoffstein
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依托单位:
Double Dirichlet Series and Generalized Metaplectic Forms
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批准号:9700757
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项目类别:Standard Grant
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资助金额:$11.85万
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财政年份:1997
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负责人:Jeffrey Hoffstein
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依托单位:
Mathematical Sciences: Applications of Rankin-Selberg Convolutions to Automorphic Forms and Number Theory
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批准号:9322150
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项目类别:Continuing Grant
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资助金额:$11.37万
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财政年份:1994
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负责人:Jeffrey Hoffstein
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依托单位:
Travel of U.S.-Scientist under the U.S-India Exchange of Scientists Programs
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批准号:9023852
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项目类别:Standard Grant
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资助金额:$0.0万
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财政年份:1991
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负责人:Jeffrey Hoffstein
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依托单位:
Mathematical Sciences: Theta Functions and Eisenstein Serieson the Metaplectic Group
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批准号:9023202
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项目类别:Continuing Grant
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资助金额:$16.28万
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财政年份:1991
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负责人:Jeffrey Hoffstein
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依托单位:
Mathematical Sciences: Metaplectric Eisenstein Series and Theta Functions
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批准号:8800645
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项目类别:Continuing Grant
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资助金额:$7.1万
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财政年份:1988
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负责人:Jeffrey Hoffstein
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依托单位:
Mathematical Sciences: Metaplectic Forms on GL(3)
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批准号:8519916
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项目类别:Standard Grant
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资助金额:$3.25万
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财政年份:1986
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负责人:Jeffrey Hoffstein
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依托单位:
Mathematical Sciences: Applications of Eisenstein Series to L-Series and Zeta Functions
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批准号:8305527
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项目类别:Standard Grant
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资助金额:$1.6万
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财政年份:1983
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负责人:Jeffrey Hoffstein
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依托单位:
Applications of Eisenstein Series to L-Series and Zeta Functions (Mathematical Sciences)
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批准号:8103414
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项目类别:Standard Grant
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资助金额:$3.77万
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财政年份:1981
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负责人:Jeffrey Hoffstein
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依托单位:
Eisenstein Series
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批准号:7923745
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项目类别:Standard Grant
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资助金额:$0.75万
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财政年份:1979
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负责人:Jeffrey Hoffstein
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依托单位:
海外基金