#cryptography #encryption #security #algorithm

Idea

Elliptic Curve Cryptography, or ECC, is an encryption methodology. An elliptic curve is defined^[1] by $$y^2 = x^3 +ax + b$$.

ECC uses the fact that finding the parameters for the curve (a and b) based on the "intersection" with the curve. So a and b becomes the key.

links

references

• Elliptic Curve Cryptography: a gentle introduction
• SafeCurves: choosing safe curves for elliptic-curve cryptography
• Martin Kleppmann / Implementing Curve25519/X25519: A Tutorial on Elliptic Curve Cryptography A tutorial by M. Kleppmann on ECC.

Notes

• [1]: and $$4a^3 + 27b^2 != 0$$