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Mathematics of Public Key Cryptography

Galbraith, Steven D.

1, 2012

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Recent progress on the elliptic curve discrete logarithm problem

Designs, codes, and cryptography, 2016-01, Vol.78 (1), p.51-72

2016

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Topics in Cryptology - CT-RSA 2022: Cryptographers' Track at the RSA Conference 2022, Virtual Event, March 1-2, 2022, Proceedings

Galbraith, Steven D

1, 2022

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Computational problems in supersingular elliptic curve isogenies

Quantum information processing, 2018-10, Vol.17 (10), p.1-22, Article 265

2018

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SeaSign: Compact Isogeny Signatures from Class Group Actions

Advances in Cryptology – EUROCRYPT 2019, p.759-789

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Identification Protocols and Signature Schemes Based on Supersingular Isogeny Problems

Journal of cryptology, 2020, Vol.33 (1), p.130-175

2020

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Proving knowledge of isogenies: a survey

Designs, codes, and cryptography, 2023-11, Vol.91 (11), p.3425-3456

2023

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Advances in Cryptology - ASIACRYPT 2018: 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings

1st Edition 2018, 2018

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Topics in Cryptology – CT-RSA 2022: Cryptographers’ Track at the RSA Conference 2022, Virtual Event, March 1–2, 2022, Proceedings

Galbraith, Steven D.

2022

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Implementing the Tate Pairing

Algorithmic Number Theory, 2002, p.324-337

2002

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Improved Combinatorial Algorithms for the Inhomogeneous Short Integer Solution Problem

Journal of cryptology, 2019-01, Vol.32 (1), p.35-83

2019

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Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves

Journal of cryptology, 2011-07, Vol.24 (3), p.446-469

2011

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Identification Protocols and Signature Schemes Based on Supersingular Isogeny Problems

Advances in Cryptology – ASIACRYPT 2017, p.3-33

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On the Security of Supersingular Isogeny Cryptosystems

Advances in Cryptology – ASIACRYPT 2016, p.63-91

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Advances in Cryptology - ASIACRYPT 2018: 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings

2018

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Adaptive Key Recovery Attacks on NTRU-Based Somewhat Homomorphic Encryption Schemes

Information Theoretic Security, p.283-296

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Advances in Cryptology - ASIACRYPT 2018: 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings, Part III

1, 2018

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Failing to Hash Into Supersingular Isogeny Graphs

Computer journal, 2024-05

2024

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Obfuscating Evasive Decision Trees

Progress in Cryptology – INDOCRYPT 2023, p.84-104

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Advances in Cryptology - ASIACRYPT 2019: 25th International Conference on the Theory and Application of Cryptology and Information Security, Kobe, Japan, December 8-12, 2019, Proceedings

1st Edition 2019, 2019

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Advances in Cryptology - ASIACRYPT 2018: 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings, Part I

1, 2018

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Advances in Cryptology - ASIACRYPT 2018: 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings, Part II

1, 2018

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Advances in Cryptology - ASIACRYPT 2019: 25th International Conference on the Theory and Application of Cryptology and Information Security, Kobe, Japan, December 8-12, 2019, Proceedings, Part I

1st Edition 2019, 2019

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A non-uniform birthday problem with applications to discrete logarithms

Discrete Applied Mathematics, 2012-07, Vol.160 (10-11), p.1547-1560

2012

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SIDH Proof of Knowledge

Advances in Cryptology – ASIACRYPT 2022, p.310-339

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Mathematics of Public Key Cryptography

Recent progress on the elliptic curve discrete logarithm problem

Topics in Cryptology - CT-RSA 2022: Cryptographers' Track at the RSA Conference 2022, Virtual Event, March 1-2, 2022, Proceedings

Computational problems in supersingular elliptic curve isogenies

SeaSign: Compact Isogeny Signatures from Class Group Actions

Identification Protocols and Signature Schemes Based on Supersingular Isogeny Problems

Proving knowledge of isogenies: a survey

Advances in Cryptology - ASIACRYPT 2018: 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings

Topics in Cryptology – CT-RSA 2022: Cryptographers’ Track at the RSA Conference 2022, Virtual Event, March 1–2, 2022, Proceedings

Implementing the Tate Pairing

Improved Combinatorial Algorithms for the Inhomogeneous Short Integer Solution Problem

Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves

Identification Protocols and Signature Schemes Based on Supersingular Isogeny Problems

On the Security of Supersingular Isogeny Cryptosystems

Advances in Cryptology - ASIACRYPT 2018: 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings

Adaptive Key Recovery Attacks on NTRU-Based Somewhat Homomorphic Encryption Schemes

Advances in Cryptology - ASIACRYPT 2018: 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings, Part III

Failing to Hash Into Supersingular Isogeny Graphs

Obfuscating Evasive Decision Trees

Advances in Cryptology - ASIACRYPT 2019: 25th International Conference on the Theory and Application of Cryptology and Information Security, Kobe, Japan, December 8-12, 2019, Proceedings

Advances in Cryptology - ASIACRYPT 2018: 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings, Part I

Advances in Cryptology - ASIACRYPT 2018: 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings, Part II

Advances in Cryptology - ASIACRYPT 2019: 25th International Conference on the Theory and Application of Cryptology and Information Security, Kobe, Japan, December 8-12, 2019, Proceedings, Part I

A non-uniform birthday problem with applications to discrete logarithms

SIDH Proof of Knowledge

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