Gaurish Korpal

Gaurish Korpal

PhD Candidate

Discrete logarithm based cryptography

Published:

under construction.

 sage: euler_phi(56508)

Elliptic curve cryptography

References

  1. I. Blake, G. Seroussi, and N. Smart, Elliptic Curves in Cryptography, LMS.
  2. L. Washington, Elliptic Curves: Number Theory and Cryptography, CRC.
  3. A. Sutherland, Introduction to Arithmetic Geometry, especially lecture 24. (CombinedPDF; OCW)
  4. A. Sutherland, Elliptic Curves (Spring2021), expecially lecture 5. (CombinedPDF-2021; OCW-Spring2019)
  5. E. Wallace, Elliptic curves over finite fields and applications to cryptography (Bonus: SageCode and videos)

Pairing based cryptography

References

  1. C. Costello, Pairings for beginners
  2. I. Blake, G. Seroussi, and N. Smart, Advances in Elliptic Curve Cryptography, LMS.
  3. Ben Lynn’s Ph.D. Dissertation: https://crypto.stanford.edu/pbc/thesis.html