Similarities between Elliptic curve and Schoof's algorithm
Elliptic curve and Schoof's algorithm have 13 things in common (in Unionpedia): Abelian group, Algebraic closure, Counting points on elliptic curves, Discrete logarithm, Elliptic-curve cryptography, Finite field, Generalized Riemann hypothesis, Group (mathematics), Hasse's theorem on elliptic curves, Modular form, Noam Elkies, Point at infinity, Torsion subgroup.
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
Abelian group and Elliptic curve · Abelian group and Schoof's algorithm ·
Algebraic closure
In mathematics, particularly abstract algebra, an algebraic closure of a field K is an algebraic extension of K that is algebraically closed.
Algebraic closure and Elliptic curve · Algebraic closure and Schoof's algorithm ·
Counting points on elliptic curves
An important aspect in the study of elliptic curves is devising effective ways of counting points on the curve.
Counting points on elliptic curves and Elliptic curve · Counting points on elliptic curves and Schoof's algorithm ·
Discrete logarithm
In the mathematics of the real numbers, the logarithm logb a is a number x such that, for given numbers a and b. Analogously, in any group G, powers bk can be defined for all integers k, and the discrete logarithm logb a is an integer k such that.
Discrete logarithm and Elliptic curve · Discrete logarithm and Schoof's algorithm ·
Elliptic-curve cryptography
Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.
Elliptic curve and Elliptic-curve cryptography · Elliptic-curve cryptography and Schoof's algorithm ·
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 Schoof's algorithm ·
Generalized Riemann hypothesis
The Riemann hypothesis is one of the most important conjectures in mathematics.
Elliptic curve and Generalized Riemann hypothesis · Generalized Riemann hypothesis and Schoof's algorithm ·
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 Schoof's algorithm ·
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 Schoof's algorithm ·
Modular form
In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the group action of the modular group, and also satisfying a growth condition.
Elliptic curve and Modular form · Modular form and Schoof's algorithm ·
Noam Elkies
Noam David Elkies (born August 25, 1966) is an American mathematician and professor of mathematics at Harvard University.
Elliptic curve and Noam Elkies · Noam Elkies and Schoof's algorithm ·
Point at infinity
In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line.
Elliptic curve and Point at infinity · Point at infinity and Schoof's algorithm ·
Torsion subgroup
In the theory of abelian groups, the torsion subgroup AT of an abelian group A is the subgroup of A consisting of all elements that have finite order (the torsion elements of A).
Elliptic curve and Torsion subgroup · Schoof's algorithm and Torsion subgroup ·
The list above answers the following questions
- What Elliptic curve and Schoof's algorithm have in common
- What are the similarities between Elliptic curve and Schoof's algorithm
Elliptic curve and Schoof's algorithm Comparison
Elliptic curve has 159 relations, while Schoof's algorithm has 27. As they have in common 13, the Jaccard index is 6.99% = 13 / (159 + 27).
References
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