Knowledge Base
Elliptic-Curve Parameter
A

prime192v2

Summary

Name:
prime192v2
Long Name:
prime192v2 elliptic curve (192-bit prime field)
Key size:
192 bits
Object identifier:
1.2.840.10045.3.1.2
Publishers:

Check your host!

Type a URL to analyze a service

Get a prompt and clear overview of your security configuration. Right now!

Security

A+
Key Size
Security

The elliptic-curve cryptography[118][119][120][121] is an approach to public-key cryptography[164][165][166] based on the elliptic curve[116][117]s. The most important property in terms of encryption strength, beyond the designer is elliptic curve key size[292][293][294]. All the key sizes available are considered secure, so there is no consideration about it.

A
Trusted Design
Security

The elliptic-curve cryptography[118][119][120][121] is an approach to public-key cryptography[164][165][166] based on the elliptic curve[116][117]s. Note that there is controversy[287][288][289][290][291] around some of the National Institute of Standards and Technology[470][471] designed elliptic curveselliptic curves designed by NIST[285][286].

Recommendations

Add at least one elliptic curve to the list of elliptic curves supported by your server designed by independent researchers and prefer them as server configuration makes it possible.

A
Post-Quantum
Security

The elliptic curve[116][117] cryptography provides no protection against a cryptanalytic attack by a quantum computer, and no classical elliptic curve does — just as classical Diffie-Hellman does not — because a quantum computer breaks the hardness assumption they rely on. Only a hybrid key exchange (a classical algorithm combined with a post-quantum cryptography[158][159] one) or a pure post-quantum algorithm is quantum-safe.

Recommendations

Enable a hybrid key exchange or a pure post-quantum algorithm on your server, and prefer it where the configuration allows, so the connection stays secure against a future quantum computer.

Parameter Numbers

Prime (p)
0xfffffffffffffffffffffffffffffffeffffffffffffffff
Copy to clipboard
Coefficient (a)
0xfffffffffffffffffffffffffffffffefffffffffffffffc
Copy to clipboard
Coefficient (b)
0xcc22d6dfb95c6b25e49c0d6364a4e5980c393aa21668d953
Copy to clipboard
Generator (x)
0xeea2bae7e1497842f2de7769cfe9c989c072ad696f48034a
Copy to clipboard
Generator (y)
0x6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15
Copy to clipboard
Order (n)
0xfffffffffffffffffffffffe5fb1a724dc80418648d8dd31
Copy to clipboard
Cofactor (h)
0x1
Copy to clipboard

Representations

PEM

-----BEGIN EC PARAMETERS-----
BggqhkjOPQMBAg==
-----END EC PARAMETERS-----
Download ecparam.pem
Copy to clipboard

PARI/GP

p = 0xfffffffffffffffffffffffffffffffeffffffffffffffff;
a = 0xfffffffffffffffffffffffffffffffefffffffffffffffc;
b = 0xcc22d6dfb95c6b25e49c0d6364a4e5980c393aa21668d953;
E = ellinit([a, b], p);
G = [0xeea2bae7e1497842f2de7769cfe9c989c072ad696f48034a, 0x6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15];
n = 0xfffffffffffffffffffffffe5fb1a724dc80418648d8dd31;
h = 0x1;
Copy to clipboard

LaTeX

$\begin{aligned}
y^2 &\equiv x^3 + a x + b \pmod{p} \\
p &= 0xfffffffffffffffffffffffffffffffeffffffffffffffff \\
a &= 0xfffffffffffffffffffffffffffffffefffffffffffffffc \\
b &= 0xcc22d6dfb95c6b25e49c0d6364a4e5980c393aa21668d953 \\
G &= (0xeea2bae7e1497842f2de7769cfe9c989c072ad696f48034a, 0x6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15) \\
n &= 0xfffffffffffffffffffffffe5fb1a724dc80418648d8dd31 \\
h &= 0x1
\end{aligned}$
Copy to clipboard