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Elliptic curves are also used in several integer factorization algorithms that have applications in cryptography, such as Lenstra elliptic curve factorization.
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Elliptic and curves
Elliptic curve cryptography ( ECC ) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.
Elliptic curve cryptography is vulnerable to a modified Shor's algorithm for solving the discrete logarithm problem on elliptic curves.
Elliptic curves carry the structure of an abelian group with the distinguished point as the identity of the group law.
Elliptic and are
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 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 operators are typical of potential theory, and they appear frequently in electrostatics and continuum mechanics.
Elliptic regularity implies that their solutions tend to be smooth functions ( if the coefficients in the operator are smooth ).
Elliptic filters are generally specified by requiring a particular value for the passband ripple, stopband ripple and the sharpness of the cutoff.
Elliptic modular functions can sometimes be expressed as the inverse functions of ratios of hypergeometric functions whose arguments a, b, c are 1, 1 / 2, 1 / 3, ... or 0.
Elliptic and also
* the Elliptic Curve Integrated Encryption Scheme ( ECIES ), also known as Elliptic Curve Augmented Encryption Scheme or simply the Elliptic Curve Encryption Scheme,
Elliptic geometry is also like Euclidean geometry in that space is continuous, homogeneous, isotropic, and without boundaries.
In the course of proving the conjectures, Drinfeld introduced a new class of objects that he called " Elliptic modules " and that have since become known also as " shtukas " and Drinfeld modules.
Elliptic and used
* 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.
Elliptic and several
Elliptic and integer
Elliptic and factorization
Integer factorization algorithms include the Elliptic Curve Method, the Quadratic sieve and the Number field sieve.
Elliptic and algorithms
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 and cryptography
The Elliptic Curve Digital Signature Algorithm ( ECDSA ) is a variant of the Digital Signature Algorithm ( DSA ) which uses elliptic curve cryptography.
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