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Elliptic curve and Lenstra elliptic-curve factorization

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Elliptic curve and Lenstra elliptic-curve factorization

Elliptic curve vs. Lenstra elliptic-curve factorization

In mathematics, an elliptic curve is a plane algebraic curve defined by an equation of the form which is non-singular; that is, the curve has no cusps or self-intersections. The Lenstra elliptic-curve factorization or the elliptic-curve factorization method (ECM) is a fast, sub-exponential running time, algorithm for integer factorization, which employs elliptic curves.

Similarities between Elliptic curve and Lenstra elliptic-curve factorization

Elliptic curve and Lenstra elliptic-curve factorization have 11 things in common (in Unionpedia): Annals of Mathematics, Coprime integers, Edwards curve, Euclidean algorithm, Finite field, Group (mathematics), Hasse's theorem on elliptic curves, Integer factorization, Modular arithmetic, Montgomery curve, Weierstrass's elliptic functions.

Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

Annals of Mathematics and Elliptic curve · Annals of Mathematics and Lenstra elliptic-curve factorization · See more »

Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

Coprime integers and Elliptic curve · Coprime integers and Lenstra elliptic-curve factorization · See more »

Edwards curve

x^2+y^2.

Edwards curve and Elliptic curve · Edwards curve and Lenstra elliptic-curve factorization · See more »

Euclidean algorithm

. EXAMPLES CAN BE FOUND BELOW, E.G., IN THE "Matrix method" SECTION.

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Finite field

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.

Elliptic curve and Finite field · Finite field and Lenstra elliptic-curve factorization · See more »

Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

Elliptic curve and Group (mathematics) · Group (mathematics) and Lenstra elliptic-curve factorization · See more »

Hasse's theorem on elliptic curves

Hasse's theorem on elliptic curves, also referred to as the Hasse bound, provides an estimate of the number of points on an elliptic curve over a finite field, bounding the value both above and below.

Elliptic curve and Hasse's theorem on elliptic curves · Hasse's theorem on elliptic curves and Lenstra elliptic-curve factorization · See more »

Integer factorization

In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers.

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Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).

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Montgomery curve

In mathematics the Montgomery curve is a form of elliptic curve, different from the usual Weierstrass form, introduced by Peter L. Montgomery in 1987.

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Weierstrass's elliptic functions

In mathematics, Weierstrass's elliptic functions are elliptic functions that take a particularly simple form; they are named for Karl Weierstrass.

Elliptic curve and Weierstrass's elliptic functions · Lenstra elliptic-curve factorization and Weierstrass's elliptic functions · See more »

The list above answers the following questions

Elliptic curve and Lenstra elliptic-curve factorization Comparison

Elliptic curve has 159 relations, while Lenstra elliptic-curve factorization has 40. As they have in common 11, the Jaccard index is 5.53% = 11 / (159 + 40).

References

This article shows the relationship between Elliptic curve and Lenstra elliptic-curve factorization. To access each article from which the information was extracted, please visit:

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