Примеры использования Elliptic curve на Английском языке и их переводы на Русский язык
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Elliptic Curve Diffie-Hellman P-384.
Scalar Multiplication of Elliptic Curve Point.
Parabolic Inoue surfaces contain a cycle of rational curves with 0 self-intersection and an elliptic curve.
For each of the prime fields, one elliptic curve is recommended.
They are a particular case of Enoki surfaces which have a cycle of rational curves with zero self-intersection but without elliptic curve.
It uses conventional elliptic curve operations and is not patented.
Let R( x, y){\displaystyle R=(x,y)} be a point on an elliptic curve.
Over the complex numbers, every elliptic curve has nine inflection points.
Please join us for advanced algorithms for fast quadrupling of an elliptic curve point.
The signature is a point on the elliptic curve with coordinates in F q{\displaystyle\mathbb{F}_{q.
The most common in use today are Diffie-Hellman-Merkle,RSA and Elliptic Curve Cryptography.
An attacker is able to recover private Elliptic Curve keys from different applications, for example, TLS servers.
These include: Suite B- a set of public key algorithm standards based on elliptic curve cryptography.
In order to count points on an elliptic curve, we compute the cardinality of E( F q){\displaystyle E\mathbb{F}_{q.
He later factored the tenth andeleventh Fermat numbers using Lenstra's elliptic curve factorisation algorithm.
MuHASH ECOH- Elliptic Curve Only hash function- based on the concept of Elliptic curves, Subset Sum Problem and summation of polynomials.
The question of whether a given number is congruent turns out to be equivalent to the condition that a certain elliptic curve has positive rank.
B uses ψ A B{\displaystyle\psi_{AB}}to create an elliptic curve E A B{\displaystyle E_{AB}} which is isogenous to E{\displaystyle E.
So, no party other than Alice candetermine Alice's private key, unless that party can solve the elliptic curve discrete logarithm problem.
DL/ECIES(Discrete Logarithm/Elliptic Curve Integrated Encryption Scheme): Essentially the"DHAES" variant of ElGamal encryption.
The intersection of two quadric surfaces is in general a nonsingular curve of genus one and degree four, and thus an elliptic curve, if it has a rational point.
These surfaces contain an elliptic curve(the image of the x-axis) and if λ 0{\displaystyle\lambda =0}the image of the y-axis is a second elliptic curve.
The protocol can be modified to work in an arbitrary finite group, and, in particular, elliptic curve groups,where it is known as elliptic curve MQV ECMQV.
Elliptic curve primality proving provides an alternative to(among others) the Pocklington primality test, which can be difficult to implement in practice.
It corresponds to the rough classification into the three types: g 0(projective line);g 1(elliptic curve); and g> 1 Riemann surfaces with independent holomorphic differentials.
For ECPP the group is an elliptic curve over a finite set of quadratic forms such that p- 1{\displaystyle p-1} is trivial to factor over the group?
Mordell's theorem on the finite generation of the group of rational points on an elliptic curve is in Chapter 16, and integer points on the Mordell curve in Chapter 26.
In October 2014, Jao andSoukharev from the University of Waterloo presented an alternative method of creating undeniable signatures with designated verifier using elliptic curve isogenies.
These properties make SIDH a natural candidate to replace Diffie-Hellman(DHE) and elliptic curve Diffie-Hellman(ECDHE), which are widely used in Internet communication.
These minimum bitlengths are: symmetric key 112, factoring modulus 2048, discrete logarithm key 224,discrete logarithmic group 2048, elliptic curve 224, and hash 224.