short Weierstrass elliptic curve
defines the set of points over a finite field for elliptic curve cryptographic operations.
symbols, variables and units
x, y, a, b: F_p elements; p: a prime number greater than 3; and an infinite point.
applicable conditions and boundaries
4a³+27b²≠0 mod p; the safety curve still needs group order verification.
formula source code
The following is a copyable LaTeX expression.
y^2\equiv x^3+ax+b\pmod p
Reference and Extended Learning
NIST · Cryptographic Standards and Guidelines ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
ECCelliptic curve