SIDH Library is a fast and portable software library that implements a new suite of algorithms for supersingular isogeny Diffie-Hellman key exchange [1]. The chosen parameters aim to provide 128 bits of security against attackers running a large-scale quantum computer, and 192 bits of security against classical algorithms. SIDH has the option of a hybrid key exchange that combines supersingular isogeny Diffie-Hellman with a high-security classical elliptic curve Diffie-Hellman key exchange at a small overhead. SIDH is the first supersingular isogeny Diffie-Hellman software that is fully protected against timing and cache attacks: all operations on secret data run in constant time. The library is also significantly faster than previous implementations, e.g., it is about 2.5 times faster than the previously best (non-constant-time) supersingular isogeny Diffie-Hellman software

References in zbMATH (referenced in 16 articles )

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  1. Gönen, Mehmet Emin; Tutdere, Seher; Uzunkol, Osmanbey: A key manipulation attack on some recent isogeny-based key agreement protocols (2022)
  2. Hu, Zhi; Liu, Zhe; Wang, Lin; Zhou, Zijian: Simplified isogeny formulas on twisted Jacobi quartic curves (2022)
  3. Fan, Xuejun; Xu, Xiu; Li, Bao: Group key exchange protocols from supersingular isogenies (2021)
  4. Hashimoto, Yuji; Nuida, Koji: Improved supersingularity testing of elliptic curves using Legendre form (2021)
  5. Longa, Patrick; Wang, Wen; Szefer, Jakub: The cost to break SIKE: a comparative hardware-based analysis with AES and SHA-3 (2021)
  6. Galbraith, Steven D.; Petit, Christophe; Silva, Javier: Identification protocols and signature schemes based on supersingular isogeny problems (2020)
  7. Shani, Barak: The security of all private-key bits in isogeny-based schemes (2020)
  8. Urbanik, David; Jao, David: New techniques for SIDH-based NIKE (2020)
  9. Meyer, Michael; Reith, Steffen: Eliptic curves in post-quantum cryptography (2019)
  10. Seo, Hwajeong; Jalali, Amir; Azarderakhsh, Reza: SIKE round 2 speed record on ARM Cortex-M4 (2019)
  11. Galbraith, Steven D.; Vercauteren, Frederik: Computational problems in supersingular elliptic curve isogenies (2018)
  12. Costello, Craig; Jao, David; Longa, Patrick; Naehrig, Michael; Renes, Joost; Urbanik, David: Efficient compression of SIDH public keys (2017)
  13. Koziel, Brian; Azarderakhsh, Reza; Jao, David; Mozaffari-Kermani, Mehran: On fast calculation of addition chains for isogeny-based cryptography (2017)
  14. Costello, Craig; Longa, Patrick; Naehrig, Michael: Efficient algorithms for supersingular isogeny Diffie-Hellman (2016)
  15. Galbraith, Steven D.; Petit, Christophe; Shani, Barak; Ti, Yan Bo: On the security of supersingular isogeny cryptosystems (2016)
  16. Koziel, Brian; Azarderakhsh, Reza; Mozaffari-Kermani, Mehran: Fast hardware architectures for supersingular isogeny Diffie-Hellman key exchange on FPGA (2016)