Elliptic-curve cryptography and Integer factorization

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

Difference between Elliptic-curve cryptography and Integer factorization

Elliptic-curve cryptography vs. Integer factorization

Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers.

Similarities between Elliptic-curve cryptography and Integer factorization

Elliptic-curve cryptography and Integer factorization have 7 things in common (in Unionpedia): Algorithm, Elliptic curve, Lenstra elliptic-curve factorization, Public-key cryptography, Quantum computing, RSA (cryptosystem), Shor's algorithm.

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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Elliptic curve

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.

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Lenstra elliptic-curve factorization

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.

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Public-key cryptography

Public-key cryptography, or asymmetric cryptography, is any cryptographic system that uses pairs of keys: public keys which may be disseminated widely, and private keys which are known only to the owner.

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Quantum computing

Quantum computing is computing using quantum-mechanical phenomena, such as superposition and entanglement.

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RSA (cryptosystem)

RSA (Rivest–Shamir–Adleman) is one of the first public-key cryptosystems and is widely used for secure data transmission.

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Shor's algorithm

Shor's algorithm, named after mathematician Peter Shor, is a quantum algorithm (an algorithm that runs on a quantum computer) for integer factorization formulated in 1994.

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The list above answers the following questions

What Elliptic-curve cryptography and Integer factorization have in common
What are the similarities between Elliptic-curve cryptography and Integer factorization

Elliptic-curve cryptography and Integer factorization Comparison

Elliptic-curve cryptography has 95 relations, while Integer factorization has 86. As they have in common 7, the Jaccard index is 3.87% = 7 / (95 + 86).

References

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

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