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Homomorphic Encryption Applications and Technology

Deliverables

Project dissemination plan

A detailed plan describing the dissemination activities of the consortium. Summary of the IP audit and action plan.

Mid-term report on dissemination, standardization, publication, exploitation and training

An interim report over the dissemination, standardization, publication and training activities of the consortium. This will include a list of all publications, both published, in-press and under review.

Updates of Deliverables D2.2 and D2.3

The final document updates the deliverables D2.2 and D2.3.

Survey of existing SHE schemes and cryptanalytic techniques

The document contains a survey of all SHE schemes and the computational assumptions on which these schemes are based.

Document specification of the ADOC Use Case

The deliverable contains the specification of the third use case of HEAT. The deliverable will also contain the analysis of the functional and security requirements for use by the other workpackages.

First periodic report according to EC regulations of the model contract

The periodic report shall address both the technical and the financial aspects of the project.

Document specification of the Satellite Use Case

The deliverable contains the specification of the first use case of HEAT. The deliverable will also contain the analysis of the functional and security requirements for use by the other workpackages.

Document specification of the Smart Grid Use Case

The deliverable contains the specification of the second use case of HEAT. The deliverable will also contain the analysis of the functional and security requirements for use by the other workpackages.

Final report according to EC regulations of the model contract

Final technical report and financial report according to model contract.

New cryptanalytic techniques for SHE computational problems

The document contains new algorithms for breaking existing SHE schemes.

Specifications of the software and hardware libraries, and parameter selection

API and documentation for the software and hardware implementations of the SHE schemes implemented in D3.2. Specification on the parameter selection to ensure long-term security based on the current cryptanalytic implementations and results.

Second periodic report according to EC regulations of the model contract

The periodic report shall address both the technical and the financial aspects of the project.

Demonstrator definition

A report defining the proof-of-concept demonstrators.

Report on demonstrators

A report describing the results from the demonstration of the proof-of-concepts.

Use case analysis and validation

A report describing the results of our analysis of the HEAT solutions against the use case requirements, issue for integration in real systems, and a plan for addressing these issues as future work.

New SHE schemes and new SHE-friendly symmetric-key schemes

The document contains the design of new SHE schemes and new SHE-friendly symmetric-key schemes, according to Tasks 2.1, 2.2, 2.3 and 2.4.

Final report on dissemination, standardization, publication, exploitation and training

A final update on D5.2

Open-source libraries of the selected SHE schemes

Source code of the implemented SHE schemes made available on a public open-source platform.

First prototypes of the libraries of a selection of SHE schemes

Source code of a selection of SHE schemes made available for all partners for integration in the demonstrators of WP4.

Project website and internal and external IT communication infrastructure

The deliverable constitutes the launch of the HEAT website and the project communication infrastructure.

Publications

Masking ring-LWE

Author(s): Oscar Reparaz, Sujoy Sinha Roy, Ruan de Clercq, Frederik Vercauteren, Ingrid Verbauwhede
Published in: Journal of Cryptographic Engineering, Issue 6/2, 2016, Page(s) 139-153, ISSN 2190-8508
Publisher: Springer Science + Business Media
DOI: 10.1007/s13389-016-0126-5

Reducing number field defining polynomials: an application to class group computations

Author(s): Alexandre Gélin, Antoine Joux
Published in: LMS Journal of Computation and Mathematics, Issue 19/A, 2016, Page(s) 315-331, ISSN 1461-1570
Publisher: London Mathematical Society
DOI: 10.1112/S1461157016000255

HEPCloud: An FPGA-based Multicore Processor for FV Somewhat Homomorphic Function Evaluation

Author(s): Sujoy Sinha Roy, Kimmo Jarvinen, Jo Vliegen, Frederik Vercauteren, Ingrid Verbauwhede
Published in: IEEE Transactions on Computers, 2018, Page(s) 1-1, ISSN 0018-9340
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/TC.2018.2816640

Sieving for shortest vectors in ideal lattices: a practical perspective

Author(s): Joop Van De Pol, Michael Naehrig, Joppe W. Bos
Published in: International Journal of Applied Cryptography, Issue 3/4, 2017, Page(s) 313, ISSN 1753-0563
Publisher: Inderscience Publishers
DOI: 10.1504/ijact.2017.10010312

Hardware Assisted Fully Homomorphic Function Evaluation and Encrypted Search

Author(s): Sujoy Sinha Roy, Frederik Vercauteren, Jo Vliegen, Ingrid Verbauwhede
Published in: IEEE Transactions on Computers, Issue 66/9, 2017, Page(s) 1562-1572, ISSN 0018-9340
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tc.2017.2686385

Constant-time Discrete Gaussian Sampling

Author(s): Angshuman Karmakar, Sujoy Sinha Roy, Oscar Reparaz, Frederik Vercauteren, Ingrid Verbauwhede
Published in: IEEE Transactions on Computers, 2018, Page(s) 1-1, ISSN 0018-9340
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/TC.2018.2814587

Modular Hardware Architecture for Somewhat Homomorphic Function Evaluation

Author(s): Sujoy Sinha Roy, Kimmo Järvinen, Frederik Vercauteren, Vassil Dimitrov, Ingrid Verbauwhede
Published in: Cryptographic Hardware and Embedded Systems -- CHES 2015, 2015, Page(s) 164-184, ISBN 978-3-662-48324-4
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-48324-4_9

A Masked Ring-LWE Implementation

Author(s): Oscar Reparaz, Sujoy Sinha Roy, Frederik Vercauteren, Ingrid Verbauwhede
Published in: Cryptographic Hardware and Embedded Systems -- CHES 2015, 2015, Page(s) 683-702, ISBN 978-3-662-48324-4
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-48324-4_34

Additively Homomorphic Ring-LWE Masking

Author(s): Oscar Reparaz, Ruan de Clercq, Sujoy Sinha Roy, Frederik Vercauteren, Ingrid Verbauwhede
Published in: Post-Quantum Cryptography, 2016, Page(s) 233-244, ISBN 978-3-319-29360-8
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-29360-8_15

Provably Weak Instances of Ring-LWE Revisited

Author(s): Wouter Castryck, Ilia Iliashenko, Frederik Vercauteren
Published in: Advances in Cryptology – EUROCRYPT 2016, 2016, Page(s) 147-167, ISBN 978-3-662-49890-3
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-49890-3_6

Cryptanalysis of the Co-ACD Assumption

Author(s): Pierre-Alain Fouque, Moon Sung Lee, Tancrède Lepoint, Mehdi Tibouchi
Published in: Advances in Cryptology -- CRYPTO 2015, 2015, Page(s) 561-580, ISBN 978-3-662-47989-6
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-47989-6_27

New Multilinear Maps Over the Integers

Author(s): Jean-Sébastien Coron, Tancrède Lepoint, Mehdi Tibouchi
Published in: Advances in Cryptology -- CRYPTO 2015, 2015, Page(s) 267-286, ISBN 978-3-662-47989-6
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-47989-6_13

Zeroizing Without Low-Level Zeroes: New MMAP Attacks and their Limitations

Author(s): Jean-Sébastien Coron, Craig Gentry, Shai Halevi, Tancrède Lepoint, Hemanta K. Maji, Eric Miles, Mariana Raykova, Amit Sahai, Mehdi Tibouchi
Published in: Advances in Cryptology -- CRYPTO 2015, 2015, Page(s) 247-266, ISBN 978-3-662-47989-6
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-47989-6_12

Stream Ciphers: A Practical Solution for Efficient Homomorphic-Ciphertext Compression

Author(s): Anne Canteaut, Sergiu Carpov, Caroline Fontaine, Tancrède Lepoint, María Naya-Plasencia, Pascal Paillier, Renaud Sirdey
Published in: Fast Software Encryption, 2016, Page(s) 313-333, ISBN 978-3-662-52993-5
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-52993-5_16

Which Ring Based Somewhat Homomorphic Encryption Scheme is Best?

Author(s): Ana Costache, Nigel P. Smart
Published in: Topics in Cryptology - CT-RSA 2016, 2016, Page(s) 325-340, ISBN 978-3-319-29485-8
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-29485-8_19

NFLlib: NTT-Based Fast Lattice Library

Author(s): Carlos Aguilar-Melchor, Joris Barrier, Serge Guelton, Adrien Guinet, Marc-Olivier Killijian, Tancrède Lepoint
Published in: Topics in Cryptology - CT-RSA 2016, 2016, Page(s) 341-356, ISBN 978-3-319-29485-8
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-29485-8_20

Cryptanalysis of a (Somewhat) Additively Homomorphic Encryption Scheme Used in PIR

Author(s): Tancrède Lepoint, Mehdi Tibouchi
Published in: Financial Cryptography and Data Security, 2015, Page(s) 184-193, ISBN 978-3-662-48051-9
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-48051-9_14

Cryptanalysis of GGH15 Multilinear Maps

Author(s): Jean-Sébastien Coron, Moon Sung Lee, Tancrède Lepoint, Mehdi Tibouchi
Published in: Advances in Cryptology – CRYPTO 2016, 2016, Page(s) 607-628, ISBN 978-3-662-53008-5
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-53008-5_21

Improved Security Proofs in Lattice-Based Cryptography: Using the Rényi Divergence Rather Than the Statistical Distance

Author(s): Shi Bai, Adeline Langlois, Tancrède Lepoint, Damien Stehlé, Ron Steinfeld
Published in: Advances in Cryptology -- ASIACRYPT 2015, 2015, Page(s) 3-24, ISBN 978-3-662-48797-6
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-48797-6_1

A Subfield Lattice Attack on Overstretched NTRU Assumptions

Author(s): Martin Albrecht, Shi Bai, Léo Ducas
Published in: Advances in Cryptology – CRYPTO 2016, 2016, Page(s) 153-178, ISBN 978-3-662-53018-4
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-53018-4_6

Programmable RNS lattice-based parallel cryptographic decryption

Author(s): Paulo Martins, Leonel Sousa, Julien Eynard, Jean-Claude Bajard
Published in: 2015 IEEE 26th International Conference on Application-specific Systems, Architectures and Processors (ASAP), 2015, Page(s) 149-153, ISBN 978-1-4799-1925-3
Publisher: IEEE
DOI: 10.1109/ASAP.2015.7245723

"RNS Arithmetic Approach in Lattice-Based Cryptography: Accelerating the "Rounding-off" Core Procedure"

Author(s): Jean-Claude Bajard, Julien Eynard, Nabil Merkiche, Thomas Plantard
Published in: 2015 IEEE 22nd Symposium on Computer Arithmetic, 2015, Page(s) 113-120, ISBN 978-1-4799-8664-4
Publisher: IEEE
DOI: 10.1109/ARITH.2015.30

Fast Fourier Orthogonalization

Author(s): Léo Ducas, Thomas Prest
Published in: Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '16, 2016, Page(s) 191-198, ISBN 9781-450343800
Publisher: ACM Press
DOI: 10.1145/2930889.2930923

A Full RNS Variant of FV Like Somewhat Homomorphic Encryption Schemes

Author(s): Jean-Claude Bajard, Julien Eynard, M. Anwar Hasan, Vincent Zucca
Published in: 2016, Page(s) 423-442
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-69453-5_23

Multi-fault Attack Detection for RNS Cryptographic Architecture

Author(s): Jean-Claude Bajard, Julien Eynard, Nabil Merkiche
Published in: 2016 IEEE 23nd Symposium on Computer Arithmetic (ARITH), 2016, Page(s) 16-23, ISBN 978-1-5090-1616-7
Publisher: IEEE
DOI: 10.1109/ARITH.2016.16

Computing Generator in Cyclotomic Integer Rings

Author(s): Jean-François Biasse, Thomas Espitau, Pierre-Alain Fouque, Alexandre Gélin, Paul Kirchner
Published in: 2017, Page(s) 60-88
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-56620-7_3

New Constructions of MACs from (Tweakable) Block Ciphers

Author(s): Benoît Cogliati, Jooyoung Lee, Yannick Seurin
Published in: IACR Trans. Symmetric Cryptol., 2017
Publisher: IACR
DOI: 10.13154/tosc.v2017.i2.27-58

Privacy-friendly Forecasting for the Smart Grid using Homomorphic Encryption and the Group Method of Data Handling

Author(s): Joppe W. Bos, Wouter Castryck, Ilia Iliashenko, Frederik Vercauteren
Published in: 2017, Page(s) 184-201
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-57339-7_11

Faster Homomorphic Evaluation of Discrete Fourier Transforms

Author(s): Anamaria Costache, Nigel P. Smart, Srinivas Vivek
Published in: 2017, Page(s) 517-529
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-70972-7_29

Efficient reduction in cyclotomic rings - Application to Ring-LWE based FHE schemes

Author(s): Jean-Claude Bajard, Julien Eynard, Anwar Hasan, Paulo Martins, Leonel Sousa, Vincent Zucca
Published in: 2017, Page(s) 151-171
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-72565-9_8

Faster Homomorphic Function Evaluation using Non-Integral Base Encoding

Author(s): Charlotte Bonte, Carl Bootland, Joppe W. Bos, Wouter Castryck, Ilia Iliashenko, Frederik Vercauteren
Published in: 2017, Page(s) 579-600
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-66787-4_28

Homomorphic SIM2D Operations: Single Instruction Much More Data

Author(s): Wouter Castryck, Ilia Iliashenko, Frederik Vercauteren
Published in: 2018, Page(s) 338-359
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-78381-9_13

Fixed Point Arithmetic in SHE Scheme

Author(s): Anamaria Costache, Nigel P. Smart, Srinivas Vivek, Adrian Waller
Published in: 2016, Page(s) 401-422
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-69453-5_22

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