Elliptic curves
General
- ECC cryptobook
- Cures over finite fields - Lectures
- Elliptic curves Chapter 4 Washington
- Elliptic Curves: MIT lectures
- Corbellini - ECC
- ECC primer
- Silverman - ECC talk
- Faster Point Multiplication on Elliptic Curves with Efficient Endomorphisms
- Solinas - Efficient Arithmetic on Koblitz Curves
- Koblitz curve cryptosystems
- Elliptic Curve Cryptosystems (Koblitz Curves)
- Algorithm to Find Elliptic curves with a subgroup of a given size
- Elliptic curves number theory and cryptography
- Elliptic curve Arithmetic Curve addition - Doche-Lange
- Elliptic Curve Arithmetic Exponentiation -Doche Lange
- Elliptic curves of characteristic 2 or 3 - John Cook
- Addition/Doubling formulae
- Visualize Elliptic curves
- j invariant of a curve
- subgroup checks in BLS12
- Complete addition formulae : Bernstein - Lange
- Complete addition formulae for prime order curves
- Survey of Elliptic curves for Proof systems
- Edwards curves
- Twisted Edwards curves
- Subgroup checks for BLS12
- Cofactor explained: Elliptic curves dirty little secret
- Applications of Riemann Roch theorem in cryptography - Borgeaud
- Quaternion algebras and Isogeny based cryptography
- Notes on Discrete log
Pairings
- Pairings for beginners - Craig Costello
- Pairings - Vitalik Buterin
- Pairing friendly curves
- Pairing implementation revisited
- Groth_Sahai proofs are not scary
- Bilinear pairings in cryptography - Dennis Meffert
- Pairings and poly commitments - David Wong
- Circom pairing
- Pairings or bilinear maps
- optimizing emulated pairings
- Estimating the bit security of pairing friendly curves
- optimizing pairing based cryptography, montgomery arithmetic in rust