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Algebraic Methods for Stronger Crypto

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Lattice Cryptography,from Cryptanalysis to New Foundations

Author(s): Wessel van Woerden
Published in: 2023, Page(s) 1-364
Publisher: CWI & Universiteit Leiden

Random walks on Arakelov class groups

Author(s): Koen de Boer
Published in: 2022, ISBN 9789464218565
Publisher: Mathematical Institute (MI), Faculty of Science, Leiden University

Secure integer division with a private divisor (opens in new window)

Author(s): Thijs Veugen, Mark Abspoel
Published in: PETS 2021, 2021, Page(s) (4): 339-349
Publisher: De Gruyter Open
DOI: 10.2478/popets-2021-0073

Improved single-round secure multiplication using regenerating codes (opens in new window)

Author(s): Mark Abspoel, Ronald Cramer, Daniel Escudero, Ivan Damgård, and Chaoping Xing
Published in: ASIACRYPT 2021, Issue Lecture Notes in Computer Science book series (LNSC,volume 13091), 2021, Page(s) 222-244, ISBN 978-3-030-92074-6
Publisher: Springer Verlag
DOI: 10.1007/978-3-030-92075-3_8

Compressed Σ-Protocols for Bilinear Group Arithmetic Circuits and Application to Logarithmic Transparent Threshold Signatures (opens in new window)

Author(s): Thomas Attema, Ronald Cramer, Matthieu Rambaud
Published in: ASIACRYPT 2021, Issue Lecture Notes in Computer Science(), vol 13093, 2021, Page(s) 526–556, ISBN 978-3-030-92067-8
Publisher: Springer Verlag
DOI: 10.1007/978-3-030-92068-5_18

Secure training of decision trees with continuous attributes. (opens in new window)

Author(s): Mark Abspoel, Daniel Escudero, Nikolaj Volgushev
Published in: PETS 2021, 2021, Page(s) (1): 167-187 (2021)
Publisher: DE Gruyter Open
DOI: 10.2478/popets-2021-0010

Compressing Proofs of k-Out-Of-nPartial Knowledge (opens in new window)

Author(s): Thomas Attema, Ronald Cramer, and Serge Fehr
Published in: CRYPTO 2021, 2021, Page(s) 65–91, ISBN 978-3-030-84258-1
Publisher: Springer Verlag
DOI: 10.1007/978-3-030-84259-8_3

Attacks on the AJPS Mersenne-based cryptosystem

Author(s): Koen de Boer, Léo Ducas, Stacey Jeffery, Ronald de Wolf
Published in: PQCRYPTO 2018, Issue 8th Annual, 2018, Page(s) 101-120
Publisher: Springer Nature

Construction of optimal locally recoverable codes and connection with hypergraph

Author(s): Chaoping Xing, Chen Yuan
Published in: ICALP 2019, Issue 46th Annual, 2019
Publisher: EATCS

New Approach to Privacy-Preserving Clinical Decision Support Systems for HIV Treatment (opens in new window)

Author(s): Gabriele Spini; Emiliano Mancini; Thomas Attema; Mark Abspoel; Jan de Gier; Serge Fehr; Thijs Veugen; Maran van Heesch; Daniël Worm; Andrea De Luca; Ronald Cramer; Peter M.A. Sloot
Published in: VOLUME=46;ISSUE=12;STARTPAGE=84.1;ENDPAGE=84.11;TITLE=Journal of Medical Systems, Issue 3, 2022, ISSN 1573-689X
Publisher: Springer
DOI: 10.1007/s10916-022-01851-x

On the Security of Subspace Subcodes of Reed-Solomon Codes for Public Key Encryption (opens in new window)

Author(s): Alain Couvreur, Matthieu Lequesne
Published in: . IEEE Trans. Inf. Theory, Issue 00189448, 2022, Page(s) 68(1): 632-648 (2022), ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2021.3120440

Mildly Short Vectors in Cyclotomic Ideal Lattices in Quantum Polynomial Time (opens in new window)

Author(s): Ronald Cramer; Léo Ducas; Benjamin Wesolowski
Published in: Journal of the ACM, 68(2), Issue 4, 2021, Page(s) 1-26, ISSN 0004-5411
Publisher: Association for Computing Machinary, Inc.
DOI: 10.1145/3431725

Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic

Author(s): Thorsten Kleinjung, Benjamin Wesolowski
Published in: J. Amer. Math. Soc., 2022, Page(s) 35: 581-624, ISSN 0894-0347
Publisher: American Mathematical Society

Subspace Designs based on Algebraic Function Fields

Author(s): Venkatesan Guruswami, Chaoping Xing, Chen Yuan
Published in: Transactions of the American Mathematical Society, Issue 370 (2018), 2018, Page(s) 8757-8775, ISSN 0002-9947
Publisher: American Mathematical Society

How Long Can Optimal Locally Repairable Codes Be? (opens in new window)

Author(s): Venkatesan Guruswami, Chaoping Xing, Chen Yuan
Published in: IEEE Transactions on Information Theory, Issue 65/6, 2019, Page(s) 3662-3670, ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2019.2891765

List Decodability of Symbol-Pair Codes (opens in new window)

Author(s): Shu Liu, Chaoping Xing, Chen Yuan
Published in: IEEE Transactions on Information Theory, Issue 14 March 2019, 2019, Page(s) 1-1, ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2019.2904998

Optimal Locally Repairable Codes of Distance 3 and 4 via Cyclic Codes (opens in new window)

Author(s): Yuan Luo, Chaoping Xing, Chen Yuan
Published in: IEEE Transactions on Information Theory, Issue 65/2, 2019, Page(s) 1048-1053, ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2018.2854717

Efficient Multi-Point Local Decoding of Reed-Muller Codes via Interleaved Codex (opens in new window)

Author(s): Ronald Cramer, Chaoping Xing, Chen Yuan
Published in: IEEE Transactions on Information Theory, Issue 66/1, 2020, Page(s) 263-272, ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2019.2939135

Asymptotic Gilbert–Varshamov Bound on Frequency Hopping Sequences (opens in new window)

Author(s): Xianhua Niu, Chaoping Xing, Chen Yuan
Published in: IEEE Transactions on Information Theory, Issue 66/2, 2020, Page(s) 1213-1218, ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2019.2951383

Bounds for List-Decoding and List-Recovery of Random Linear Codes 68(2): 923-939 (2022) (opens in new window)

Author(s): Venkatesan Guruswami, Ray Li, Jonathan Mosheiff, Nicolas Resch, Shashwat Silas, Mary Wootters
Published in: IEEE Trans. Inf. Theory, Issue 00189448, 2022, Page(s) 68(2): 923-939, ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2021.3127126

Threshold Rates for Properties of Random Codes. (opens in new window)

Author(s): Venkatesan Guruswami, Jonathan Moshieff, Nicolas Resch, Shashwat Silas, Mary Wootters
Published in: IEEE Trans. Inf. Theory, Issue 00189448, 2022, Page(s) 68(2): 905-922, ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2021.3123497

An upper bound on the number of perfect quadratic forms (opens in new window)

Author(s): W.P.J. van Woerden
Published in: Advances in Mathematics, Issue 365, 2020, Page(s) 107031, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2020.107031

Efficient Protocols for Perfectly Secure Message Transmission With Applications to Secure Network Coding (opens in new window)

Author(s): Gabriele Spini, Gilles Zemor
Published in: IEEE Transactions on Information Theory, Issue 66/10, 2020, Page(s) 6340-6353, ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2020.2994285

An Algorithmic Reduction Theory for Binary Codes: LLL and More (opens in new window)

Author(s): Thomas Debris-Alazard, Léo Ducas, Wessel van Woerden
Published in: IEEE Trans. Inf. Theory, 2022, Page(s) 68(5): 3426-3444, ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2022.3143620

Random Self-reducibility of Ideal-SVP via Arakelov Random Walks (opens in new window)

Author(s): Koen de Boer, Léo Ducas, Alice Pellet-Mary, Benjamin Wesolowski
Published in: Advances in Cryptology – CRYPTO 2020 - 40th Annual International Cryptology Conference, CRYPTO 2020, Santa Barbara, CA, USA, August 17–21, 2020, Proceedings, Part II, Issue 12171, 2020, Page(s) 243-273, ISBN 978-3-030-56879-5
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-56880-1_9

Online-Extractability in the Quantum Random-Oracle Model (opens in new window)

Author(s): Jelle Don, Serge Fehr, Christian Majenz, Christian Schaffner
Published in: EUROCRYPT 2022, 2022, Page(s) 677–706, ISBN 978-3-031-07081-5
Publisher: Springer Verlag
DOI: 10.1007/978-3-031-07082-2_24

Correlated Pseudorandomness from Expand-Accumulate Codes

Author(s): Elette Boyle, Geoffroy Couteau, Niv Gilboa, Yuval Ishai, Lisa Kohl, Nicolas Resch, Peter Scholl
Published in: CRYPTO 2022, Issue 03029743, 2022, ISSN 0302-9743
Publisher: Springer VerlagElette Boyle, Geoffroy Couteau, Niv Gilboa, Yuval Ishai, Lisa Kohl, Nicolas Resch, Peter Scholl

On the Complexity of Arithmetic Secret Sharing (opens in new window)

Author(s): Ronald Cramer, Chaoping Xing, Chen Yuan
Published in: TCC 2020, 2020, Page(s) 444–469, ISBN 978-3-030-64380-5
Publisher: Springer Verlag
DOI: 10.1007/978-3-030-64381-2_16

An Efficient Passive-to-Active Compiler for Honest-Majority MPC over Rings (opens in new window)

Author(s): Mark Abspoel, Anders P. K. Dalskov, Daniel Escudero, Ariel Nof
Published in: ACNS 2021, 2021, Page(s) 122-152, ISBN 978-3-030-78374-7
Publisher: Springer Verlag
DOI: 10.1007/978-3-030-78375-4_6

Hawk: Module LIP Makes Lattice Signatures Fast, Compact and Simple (opens in new window)

Author(s): Leo Ducas, Eamonn W. Postlethwaite, Ludo N. Pulles, Wessel van Woerden
Published in: ASIACRYPT 2022, 2022, Page(s) 65--94
Publisher: Springer
DOI: 10.1007/978-3-031-22972-5

Circuits resilient to short-circuit errors (opens in new window)

Author(s): Klim Efremenko, Bernhard Haeupler, Yael Tauman Kalai, Pritish Kamath, Gillat Kol, Nicolas Resch,
Published in: STOC 2022, 2022, Page(s) 582-594, ISBN 978-1-4503-9264-8
Publisher: ACM
DOI: 10.1145/3519935.3520007

Asymptotically-Good Arithmetic Secret Sharing over Z/(p^\ell Z) with Strong Multiplication and Its Applications to Efficient MPC (opens in new window)

Author(s): Ronald Cramer, Matthieu Rambaud, and Chaoping Xing
Published in: CRYPTO 2021, Issue Lecture Notes in Computer Science(), vol 12827, 2021, Page(s) 656–686, ISBN 978-3-030-84251-2
Publisher: Springer
DOI: 10.1007/978-3-030-84252-9_22

Vector Commitments over Rings and Compressed Σ-Protocols

Author(s): Thomas Attema, Ignacio Cascudo, Ronald Cramer, Ivan Bjerre Damgård, Daniel Escudero
Published in: TCC 2022, Issue Lecture Notes in Computer Science, 2022
Publisher: Springer Verlag

Compressed $$\varSigma $$-Protocol Theory and Practical Application to Plug & Play Secure Algorithmics (opens in new window)

Author(s): Thomas Attema, Ronald Cramer
Published in: Advances in Cryptology – CRYPTO 2020 - 40th Annual International Cryptology Conference, CRYPTO 2020, Santa Barbara, CA, USA, August 17–21, 2020, Proceedings, Part III, Issue 12172, 2020, Page(s) 513-543, ISBN 978-3-030-56876-4
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-56877-1_18

Efficient NIZKs and Signatures from Commit-and-Open Protocols in the QROM

Author(s): Jelle Don, Serge Fehr, Christian Majenz, Christian Schaffner
Published in: CRYPTO 2022, Issue 03029743, 2022, ISSN 0302-9743
Publisher: Springer Verlag

NTRU Fatigue: How Stretched is Overstretched? (opens in new window)

Author(s): Léo Ducas, Wessel van Woerden
Published in: ASIACRYPT 2021, 2021, Page(s) 4: 3-32, ISBN 978-3-030-92067-8
Publisher: Springer Verlag
DOI: 10.1007/978-3-030-92068-5_1

The Randomized Slicer for CVPP: Sharper, Faster, Smaller, Batchier (opens in new window)

Author(s): Léo Ducas, Thijs Laarhoven, Wessel P. J. van Woerden
Published in: Public-Key Cryptography – PKC 2020 - 23rd IACR International Conference on Practice and Theory of Public-Key Cryptography, Edinburgh, UK, May 4–7, 2020, Proceedings, Part II, Issue 12111, 2020, Page(s) 3-36, ISBN 978-3-030-45387-9
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-45388-6_1

The Measure-and-Reprogram Technique 2.0: Multi-round Fiat-Shamir and More (opens in new window)

Author(s): Jelle Don, Serge Fehr, Christian Majenz
Published in: Advances in Cryptology – CRYPTO 2020 - 40th Annual International Cryptology Conference, CRYPTO 2020, Santa Barbara, CA, USA, August 17–21, 2020, Proceedings, Part III, Issue 12172, 2020, Page(s) 602-631, ISBN 978-3-030-56876-4
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-56877-1_21

SPD$$\mathbb {Z}_{2^k}$$: Efficient MPC mod $$2^k$$ for Dishonest Majority (opens in new window)

Author(s): Ronald Cramer, Ivan Damgård, Daniel Escudero, Peter Scholl, Chaoping Xing
Published in: Advances in Cryptology – CRYPTO 2018 - 38th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 19–23, 2018, Proceedings, Part II, Issue 10992, 2018, Page(s) 769-798, ISBN 978-3-319-96880-3
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-96881-0_26

Amortized Complexity of Information-Theoretically Secure MPC Revisited (opens in new window)

Author(s): Ignacio Cascudo, Ronald Cramer, Chaoping Xing, Chen Yuan
Published in: Advances in Cryptology – CRYPTO 2018 - 38th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 19–23, 2018, Proceedings, Part III, Issue 10993, 2018, Page(s) 395-426, ISBN 978-3-319-96877-3
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-96878-0_14

Efficient Verifiable Delay Functions (opens in new window)

Author(s): Benjamin Wesolowski
Published in: Advances in Cryptology – EUROCRYPT 2019 - 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Darmstadt, Germany, May 19–23, 2019, Proceedings, Part III, Issue 11478, 2019, Page(s) 379-407, ISBN 978-3-030-17658-7
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-17659-4_13

On the Shortness of Vectors to Be Found by the Ideal-SVP Quantum Algorithm (opens in new window)

Author(s): Léo Ducas, Maxime Plançon, Benjamin Wesolowski
Published in: Advances in Cryptology – CRYPTO 2019 - 39th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 18–22, 2019, Proceedings, Part I, Issue 11692, 2019, Page(s) 322-351, ISBN 978-3-030-26947-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-26948-7_12

On the Quantum Complexity of the Continuous Hidden Subgroup Problem (opens in new window)

Author(s): Koen de Boer, Léo Ducas, Serge Fehr
Published in: Advances in Cryptology – EUROCRYPT 2020 - 39th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Zagreb, Croatia, May 10–14, 2020, Proceedings, Part II, Issue 12106, 2020, Page(s) 341-370, ISBN 978-3-030-45723-5
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-45724-2_12

Towards Optimal Robust Secret Sharing with Security Against a Rushing Adversary (opens in new window)

Author(s): Serge Fehr, Chen Yuan
Published in: Advances in Cryptology – EUROCRYPT 2019 - 38th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Darmstadt, Germany, May 19–23, 2019, Proceedings, Part III, Issue 11478, 2019, Page(s) 472-499, ISBN 978-3-030-17658-7
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-17659-4_16

Blackbox Secret Sharing Revisited: A Coding-Theoretic Approach with Application to Expansionless Near-Threshold Schemes (opens in new window)

Author(s): Ronald Cramer, Chaoping Xing
Published in: Advances in Cryptology – EUROCRYPT 2020 - 39th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Zagreb, Croatia, May 10–14, 2020, Proceedings, Part I, Issue 12105, 2020, Page(s) 499-528, ISBN 978-3-030-45720-4
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-45721-1_18

Security of the Fiat-Shamir Transformation in the Quantum Random-Oracle Model (opens in new window)

Author(s): Jelle Don, Serge Fehr, Christian Majenz, Christian Schaffner
Published in: Advances in Cryptology – CRYPTO 2019 - 39th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 18–22, 2019, Proceedings, Part II, Issue 11693, 2019, Page(s) 356-383, ISBN 978-3-030-26950-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-26951-7_13

Efficient Information-Theoretic Secure Multiparty Computation over $$\mathbb {Z}/p^k\mathbb {Z}$$ via Galois Rings (opens in new window)

Author(s): Mark Abspoel, Ronald Cramer, Ivan Damgård, Daniel Escudero, Chen Yuan
Published in: Theory of Cryptography - 17th International Conference, TCC 2019, Nuremberg, Germany, December 1–5, 2019, Proceedings, Part I, Issue 11891, 2019, Page(s) 471-501, ISBN 978-3-030-36029-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-36030-6_19

On the Lattice Isomorphism Problem, Quadratic Forms, Remarkable Lattices, and Cryptography (opens in new window)

Author(s): Léo Ducas, Wessel van Woerden
Published in: .EUROCRYPT 2022, Issue Lecture Notes in Computer Science, vol 13277, 2022, Page(s) 3: 643-673, ISBN 978-3-031-07081-5
Publisher: Springer Verlag
DOI: 10.1007/978-3-031-07082-2_23

Asymptotically Good Multiplicative LSSS over Galois Rings and Applications to MPC over ℤ/ℤ (opens in new window)

Author(s): Mark Abspoel, Ronald Cramer, Ivan Damgård, Daniel Escudero, Matthieu Rambaud, Chaoping Xing, Chen Yuan
Published in: ASIACRYPT 2020, Issue Lecture Notes in Computer Science(), vol 12493, 2020, Page(s) 151–180, ISBN 978-3-030-64839-8
Publisher: Springer Verlag
DOI: 10.1007/978-3-030-64840-4_6

A Compressed Σ-Protocol Theory for Lattices (opens in new window)

Author(s): Thomas Attema, Ronald Cramer, Lisa Kohl:
Published in: CRYPTO 2021, Issue Lecture Notes in Computer Science(), vol 12826, 2021, Page(s) 549–579, ISBN 978-3-030-84244-4
Publisher: Springer Verlag
DOI: 10.1007/978-3-030-84245-1_19

Advanced Lattice Sieving on GPUs, with Tensor Cores (opens in new window)

Author(s): Léo Ducas, Marc Stevens, Wessel van Woerden
Published in: EUROCRYPT 2021, Issue Lecture Notes in Computer Science(), vol 12697, 2021, Page(s) 2: 249-279, ISBN 978-3-030-77885-9
Publisher: Springer Verlag
DOI: 10.1007/978-3-030-77886-6_9

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