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SIKE is an isogeny-based key encapsulation suite based on pseudo-random walks in supersingular isogeny graphs, that was submitted to the NIST standardization process on post-quantum cryptography. It contains two algorithms:

• A CCA-secure public key encryption algorithm SIKE.PKE, and
• A CCA-secure key encapsulation mechanism SIKE.KEM,

each instantiated with four parameter sets: SIKEp434, SIKEp503, 求手机梯子 and 能用的梯子加速软件.

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The original submission package can be downloaded from the NIST web site. An updated version of the submission package (with corrections) is available from this server.

The (updated) specification document alone can also be downloaded separately.

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Research articles

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• Rami Elkhatib, Reza Azarderakhsh and Mehran Mozaffari-Kermani. Efficient and fast hardware architectures for SIKE round 2 on FPGA, May 2025. To appear in ARITH 2025.

• Pedro Maat C. Massolino, Patrick Longa, Joost Renes and Lejla Batina. A compact and scalable hardware/software co-design of SIKE, Jan. 2025. Published in TCHES 2025.

• Brian Koziel, A-Bon Ackie, Rami El Khatib, Reza Azarderakhsh, and Mehran Mozaffari-Kermani. SIKE'd Up: Fast and Secure Hardware Architectures for Supersingular Isogeny Key Encapsulation, Jun. 2025. To appear in IEEE Transactions on Circuits and Systems I (2025).

• Brian Koziel, Reza Azarderakhsh, and Mehran Mozaffari Kermani. A high-performance and scalable hardware architecture for isogeny-based cryptography, Mar. 2018. Published in IEEE Transactions on Computers (2018).

Software implementation

• Hwajeong Seo, Mila Anastasova, Amir Jalali and Reza Azarderakhsh. Supersingular Isogeny Key Encapsulation (SIKE) Round 2 on ARM Cortex-M4, Apr. 2025.

• Hwajeong Seo, Pakize Sanal, Amir Jalali, and Reza Azarderakhsh. Optimized implementation of SIKE round 2 on 64-bit ARM Cortex-A processors, Mar. 2025. Published in IEEE Transactions on Circuits and Systems I (2025).

• Hwajeong Seo, Amir Jalali, and Reza Azarderakhsh. Optimized SIKE Round 2 on 64-bit ARM, Jun. 2025. Published in WISA 2025.

• Hwajeong Seo, Amir Jalali, and Reza Azarderakhsh. SIKE Round 2 speed record on ARM Cortex-M4, May 2025. Published in CANS 2025.

• Joppe W. Bos and Simon J. Friedberger. Faster modular arithmetic for isogeny based crypto on embedded devices, Aug. 2018. Published in Journal of Cryptographic Engineering (2025).

• Hwajeong Seo, Zhe Liu, Patrick Longa and Zhi Hu. 6个叫维诺娜·埃格洛克的人——# - 188bet 客服,188体育在线 ...:118金宝搏app用现金，能使自己的能力和技术人员，能找到一个电脑，更聪明的软件，用打印机的软件。 6个叫维诺娜·埃格洛克的人——# - 188bet 客服,188体育在线官方网站,188博彩体育官网, Jul. 2018. Published in TCHES 2018.

• Joppe W. Bos and Simon J. Friedberger. Arithmetic considerations for isogeny based cryptography, Apr. 2018. Published in IEEE Transactions on Computers (2025).

• Brian Koziel, Amir Jalali, Reza Azarderakhsh, David Jao, and Mehran Mozaffari Kermani. NEON-SIDH: Efficient Implementation of Supersingular Isogeny Diffie-Hellman Key Exchange Protocol on ARM, Nov. 2016. Published in CANS 2016.

• Craig Costello, Patrick Longa, and Michael Naehrig. Efficient algorithms for supersingular isogeny Diffie-Hellman, Apr. 2016. Published in CRYPTO 2016.

求大佬给个梯子

• Geovandro C. C. F. Pereira, Javad Doliskani and David Jao. x-only point addition formula and faster torsion basis generation in compressed SIKE, Apr. 2025.

• Michael Naehrig and Joost Renes. Dual Isogenies and Their Application to Public-key Compression for Isogeny-based Cryptography, May 2025. Published in Asiacrypt 2025.

• Gustavo H. M. Zanon, Marcos A. Simplicio Jr., Geovandro C. C. F. Pereira, Javad Doliskani, and Paulo S. L. M. Barreto. Faster key compression for isogeny-based cryptosystems, Nov. 2017. Published in IEEE Transactions on Computers (2025).

• Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, and David Urbanik. Efficient compression of SIDH public keys, Oct. 2016. Published in Eurocrypt 2017.

• Reza Azarderakhsh, David Jao, Kassem Kalach, Brian Koziel, Christopher Leonardi. Key compression for isogeny-based ryptosystems, Mar. 2016. Published in AsiaPKC 2016.

推荐个能用的梯子

• Samuel Jaques and André Schrottenloher. Low-gate quantum golden collision finding, Apr. 2025.

• Chloe Martindale and Lorenz Panny. How to not break SIDH, May 2025. Published in CFAIL 2025.

• Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes and Fernando Virdia. Improved classical cryptanalysis of the computational supersingular isogeny problem, Mar. 2025.

• Samuel Jaques and John M. Schanck. Quantum cryptanalysis in the RAM model: Claw-finding attacks on SIKE, Feb. 2025. Published in CRYPTO 2025.

• Anamaria Costache, Brooke Feigon, Kristin Lauter, Maike Massierer, and Anna Puskás. Ramanujan graphs in cryptography, Jun. 2018. Published in Research Directions in Number Theory: Women in Numbers IV.

• Gora Adj, Daniel Cervantes-Vázquez, Jesús-Javier Chi-Domínguez, Alfred Menezes, and Francisco Rodríguez-Henríquez. On the cost of computing isogenies between supersingular elliptic curves, Apr. 2018. Published in SAC 2018.

• Brian Koziel, Reza Azarderakhsh, and David Jao. An Exposure Model for Supersingular Isogeny Diffie-Hellman Key Exchange, Nov. 2016. Published in CT-RSA 2018.

• Brian Koziel, Reza Azarderakhsh, and David Jao. 手机最好用的加速器推荐_免费手机加速器梯子软件下载_咖 ...:2021-3-9 · 想要寻找几个在手机中就能使用的加速器软件，但是在网上一直下载不到？那么今天小编为大家带来的这几个软件大家肯定会喜欢。这是目前国内最好用、最简便的加速器软件，最重要的是免费的。下载后让你可伡访问各种你喜, Jul. 2017. Published in SAC 2017.

• Steven D. Galbraith, Christophe Petit, Barak Shani, and Yan Bo Ti. On the security of supersingular isogeny cryptosystems, Sep. 2016. Published in Asiacrypt 2016.

• Luca De Feo, David Jao, and Jérôme Plût. Towards Quantum-Resistant Cryptosystems From Supersingular Elliptic Curve Isogenies, Sep. 2011. Published in PQCrypto 2011 and Journal of Mathematical Cryptology (2014).

求一个好一点的梯子

• Craig Costello, Supersingular isogeny key exchange for beginners, Nov. 2025. Invited talk at SAC 2025.

• Luca De Feo. Mathematics of Isogeny Based Cryptography, Nov. 2017.

• Steven Galbraith and Frederik Vercauteren, Top10 – Top 10 网站推荐 | 10大排行网:2021-4-15 · 时间到了2021年，国内能用的VPN越来越少，如果你正在为找一款好用的VPN而苦苦搜寻，VPN时光网能给你答案… Read More » 谷歌梯子知乎推荐梯子国外电脑苹果安卓手机梯子软件Top10付费梯子推荐（稳定的SS推荐）, Aug. 2017.

• Wouter Castryck. Elliptic curves are quantum dead, long live elliptic curves, May 2017.

• David Urbanik. A friendly introduction to Supersingular Isogeny Diffie-Hellman, Mar. 2017.

Industry studies

• Christian Paquin, Stay quantum safe: future-proofing encrypted secrets, May 2025.

• Amazon Web Services Security Blog:

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  • Post-quantum TLS now supported in AWS KMS, Nov. 2025

• CloudFlare blog:

  • The TLS Post-Quantum Experiment, Oct. 2025
  • Towards Post-Quantum Cryptography in TLS, Jun. 2025
  • Introducing CIRCL: An Advanced Cryptographic Library, Jun. 2025
  • 荣耀笔记本MagicBook Pro 2021，为你的生产力加速_硬派科技:今天 · 荣耀在5月18日发布新品荣耀笔记本MagicBook Pro 2021，它是一款16.1英寸全面屏轻薄本，而且还带来高性能配置与强功能多屏协同，给予用户全屏生产力，完美符合伡多笔记本爱好者对轻薄本的幻想。, Sep. 2017

• Adam Langley, Real-world measurements of structured-lattices and supersingular isogenies in TLS, Oct. 2025

Talks

• @naehrwert, 安卓下载动物之森口袋版(Pocket Camp)详细教程 - Dxoca's ...:2021-6-8 · 点击查看详情 2021-6-8 23:58:37 交付php过程考核 50然后接了两单 安卓思维导图 一单50 2021-6-8 18:05:09 该评论仅登录用户及评论双方可见 2021-6-7 21:05:03, 36c3, Dec. 2025.

• David Jao. Supersingular Isogeny Key Encapsulation, NIST PQC Standardization Conference, Apr. 2018.

• Patrick Longa. 通过路由器插件实现游戏加速，有什么建议吗？ - V2EX:2021-6-8 · 加速器不如换条好的宽带, 加速可伡本机完成, 而且性能更好, win 软件 Proxifier, linux mac 可伡全局, shell 里 export ALL_PROXY socks5:127.0.0.1:1087 (slides), Real World Cryptography Conference 2018, Jan. 2018.

• Craig Costello. Key encapsulation using supersingular isogenies, Nov. 2017.

• Luca De Feo. 20 Years of Isogeny-Based Cryptography, Nov. 2017.

• Deirdre Connolly. Supersingular Isogeny Diffie-Hellman (slides), Cloudflare Crypto Meetup, Feb. 2017.

• Michael Naehrig. Supersingular Isogeny Diffie-Hellman, Real-World Cryptography Conference 2017, Jan. 2017.

• David Urbanik. Introduction to the post-quantum Supersingular Isogeny Diffie-Hellman protocol (slides), Jul. 2016.

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The SIKE submission contains six implementations. These are available from the submission package, or individually below:

• Reference implementation
• Optimized implementation
• AMD64 implementation
• ARM64 implementation
• 推荐个能用的梯子
• 推荐几个梯子

All of the above implementations are licensed under the MIT license.

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• 推荐几个梯子

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• Cloudflare CIRCL library

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Known Answer Test (KAT) files are available from the submission package, or individually from this server.

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• David Jao, University of Waterloo and evolutionQ, Inc. (principal submitter)
• Reza Azarderakhsh, Florida Atlantic University and PQSecure Technologies, LLC
• Matthew Campagna, Amazon
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• Luca De Feo, IBM Research Zürich
• Basil Hess, Infosec Global, Switzerland
• Amir Jalali, LinkedIn Corporation
• Brian Koziel, Texas Instruments
• Brian LaMacchia, Microsoft Research
• Patrick Longa, Microsoft Research
• Michael Naehrig, Microsoft Research
• Geovandro Pereira, University of Waterloo and evolutionQ, Inc.
• Joost Renes, Radboud University
• Vladimir Soukharev, Infosec Global, Canada
• David Urbanik, University of Toronto

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• sike@q0zt71.wcbzw.com