The NSA specifies that " Elliptic Curve Public Key Cryptography using the 256-bit prime modulus elliptic curve as specified in FIPS-186-2 and SHA-256 are appropriate for protecting classified information up to the SECRET level.

* Elliptic curve

Elliptic curves are also used in several integer factorization algorithms that have applications in cryptography, such as Lenstra elliptic curve factorization.

Elliptic curve cryptography is vulnerable to a modified Shor's algorithm for solving the discrete logarithm problem on elliptic curves.

Category: Elliptic curve cryptography

# REDIRECT Elliptic curve

Section 7. 4: Elliptic curve method, pp. 301 – 313.

Elliptic curve cryptography may allow smaller-size keys for equivalent security, but these algorithms have only been known for a relatively short time and current estimates of the difficulty of searching for their keys may not survive.

* Elliptic curve cryptography, an approach to public-key cryptography

Section 7. 6: Elliptic curve primality proving ( ECPP ), pp. 334 – 340.

Elliptic curve cryptography •

Elliptic curve Diffie – Hellman •

Elliptic curve only hash •

* Elliptic curve

* Elliptic curve method, an algorithm for integer factorization

: RSA, DSA, Diffie – Hellman key exchange, Elliptic curve, GOST R 34. 10-2001

Smallest conductor of a rank 2 Elliptic curve.

* Elliptic curve

The Elliptic Curve Digital Signature Algorithm ( ECDSA ) is a variant of the Digital Signature Algorithm ( DSA ) which uses elliptic curve cryptography.

Category: Elliptic curve cryptography

* Elliptic curve cryptography

Category: Elliptic curve cryptography

Category: Elliptic curve cryptography

* Elliptic curve cryptography

# REDIRECT Elliptic curve cryptography

Category: Elliptic curve cryptography

Category: Elliptic curve cryptography

* Workshop on Elliptic Curve Cryptography ( ECC )

In 2006 Frey received the Certicom ECC Visionary Award for his contributions to Elliptic Curve Cryptography.

** Elliptic Curve Cryptography ( ECC )

* the Elliptic Curve Digital Signature Algorithm ( ECDSA ) is based on the Digital Signature Algorithm,

* Factorization using the Elliptic Curve Method, a Java applet which uses ECM and switches to the Self-Initializing Quadratic Sieve when it is faster.

* Distributed computing project yoyo @ Home Subproject ECM is a program for Elliptic Curve Factorization which is used by a couple of projects to find factors for different kind of numbers.

Later in the 19th century, the German mathematician Bernhard Riemann developed Elliptic geometry, another non-Euclidean geometry where no parallel can be found and the sum of angles in a triangle is more than 180 °.

: Elliptic geometry is also sometimes called " Riemannian geometry ".

Elliptic geometry is a non-Euclidean geometry, in which, given a line L and a point p outside L, there exists no line parallel to L passing through p. Elliptic geometry, like hyperbolic geometry, violates Euclid's parallel postulate, which can be interpreted as asserting that there is exactly one line parallel to L passing through p. In elliptic geometry, there are no parallel lines at all.

Elliptic space is an abstract object and thus an imaginative challenge.

Elliptic geometry is also like Euclidean geometry in that space is continuous, homogeneous, isotropic, and without boundaries.

As a result, usually, when a digital IIR filter is going to be implemented, an analog filter ( e. g. Chebyshev filter, Butterworth filter, Elliptic filter ) is first designed and then is converted to a digital filter by applying discretization techniques such as Bilinear transform or Impulse invariance.

The fifth paper is " Elliptic and Hyperbolic Analysis " which considers the spherical law of cosines as the fundamental theorem of the sphere, and proceeds to analogues for the ellipsoid of revolution, general ellipsoid, and equilateral hyperboloids of one and two sheets, where he provides the hyperbolic law of cosines.

Elliptic geometry is a typical example of when this happens.

ZRTP is implemented in Ripcord Networks product SecurePC with up to NSA Suite B compliant Elliptic Curve math libraries.