Curve25519

Curve25519: new Diffie-Hellman speed records. This paper explains the design and implementation of a high-security elliptic-curve-Diffie-Hellman function achieving record-setting speeds: e.g., 832457 Pentium III cycles (with several side benefits: free key compression, free key validation, and state-of-the-art timing-attack protection), more than twice as fast as other authors’ results at the same conjectured security level (with or without the side benefits).


References in zbMATH (referenced in 28 articles )

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  1. Cohn-Gordon, Katriel; Cremers, Cas; Dowling, Benjamin; Garratt, Luke; Stebila, Douglas: A formal security analysis of the Signal messaging protocol (2020)
  2. Karati, Sabyasachi; Sarkar, Palash: Kummer for genus one over prime-order fields (2020)
  3. Selvi, S. Sharmila Deva; Paul, Arinjita; Dirisala, Siva; Basu, Saswata; Rangan, C. Pandu: Sharing of encrypted files in blockchain made simpler (2020)
  4. Karati, Sabyasachi; Sarkar, Palash: Connecting Legendre with Kummer and Edwards (2019)
  5. Karati, Sabyasachi; Sarkar, Palash: Kummer for genus one over prime order fields (2017)
  6. Liu, Zhe; Longa, Patrick; Pereira, Geovandro C. C. F.; Reparaz, Oscar; Seo, Hwajeong: Four (mathbbQ) on embedded devices with strong countermeasures against side-channel attacks (2017)
  7. Longa, Patrick: Four(\mathbbQ)NEON: faster elliptic curve scalar multiplications on ARM processors (2017)
  8. Vollala, Satyanarayana; N., Ramasubramanian: Energy efficient modular exponentiation for public-key cryptography based on bit forwarding techniques (2017)
  9. Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin: Fast cryptography in genus 2 (2016)
  10. Chou, Tung: Sandy2x: new Curve25519 speed records (2016)
  11. Costello, Craig; Longa, Patrick; Naehrig, Michael: Efficient algorithms for supersingular isogeny Diffie-Hellman (2016)
  12. Liu, Zhe; Großschädl, Johann; Li, Lin; Xu, Qiuliang: Energy-efficient elliptic curve cryptography for MSP430-based wireless sensor nodes (2016)
  13. Smith, Benjamin: The (\mathbbQ)-curve construction for endomorphism-accelerated elliptic curves (2016)
  14. Düll, Michael; Haase, Björn; Hinterwälder, Gesine; Hutter, Michael; Paar, Christof; Sánchez, Ana Helena; Schwabe, Peter: High-speed Curve25519 on 8-bit, 16-bit, and 32-bit microcontrollers (2015)
  15. Tang, Chunming; Xu, Maozhi; Qi, Yanfeng: Cryptography on twisted Edwards curves over local fields (2015)
  16. Bos, Joppe W.; Halderman, J. Alex; Heninger, Nadia; Moore, Jonathan; Naehrig, Michael; Wustrow, Eric: Elliptic curve cryptography in practice (2014) ioport
  17. Laporta, Maurizio; Pizzirani, Alberto: A binary algorithm with low divergence for modular inversion on SIMD architectures (2014)
  18. Longa, Patrick; Sica, Francesco: Four-dimensional Gallant-Lambert-Vanstone scalar multiplication (2014)
  19. Shparlinski, Igor E.; Sutantyo, Daniel: Distribution of elliptic twin primes in isogeny and isomorphism classes (2014)
  20. Tibouchi, Mehdi: Elligator squared: uniform points on elliptic curves of prime order as uniform random strings (2014)

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