P-384

P-384 is the elliptic curve currently specified in Commercial National Security Algorithm Suite for the ECDSA and ECDH algorithms. It is a 384-bit curve over a finite field of prime order approximately $394$. Its binary representation has 384 bits, with a simple pattern. The curve is given by the equation $y^{2} = x^{3} − 3x + b$, where $b$ is given by a certain 384-bit number. The curve has order less than the field size. The bit-length of a key is considered to be that of the order of the curve, which is also 384 bits.