**Hyperelliptic curve cryptography** is similar to elliptic curve cryptography (ECC) insofar as the Jacobian of a hyperelliptic curve is an Abelian group on which to do arithmetic, just as we use the group of points on an elliptic curve in ECC.

Read more about Hyperelliptic Curve Cryptography: Definition, Attacks Against The DLP, Order of The Jacobian

### Other articles related to "curve, curve cryptography, hyperelliptic curve cryptography, hyperelliptic curve, hyperelliptic curves, curves":

Elliptic Curve Diffie–Hellman

... Elliptic

... Elliptic

**curve**Diffie–Hellman (ECDH) is an anonymous key agreement protocol that allows two parties, each having an elliptic**curve**public-private key pair, to ... of the Diffie–Hellman protocol using elliptic**curve cryptography**...**Hyperelliptic Curve Cryptography**- Order of The Jacobian

... Hence, in order to choose a good

**curve**and a good underlying finite field, it is important to know the order of the Jacobian ... Consider a

**hyperelliptic curve**of genus over the field where is the power of a prime number and define as but now over the field ... the order using the zeta-function on

**hyperelliptic curves**...

Envelope Theorem

... A

... A

**curve**in a two dimensional space is best represented by the parametric equations like x(c) and y(c) ... The family of**curves**can be represented in the form where c is the parameter ... The envelope of a family of**curves**g(x,y,c) = 0 is a**curve**such that at each point on the**curve**there is some member of the family that touches that particular point tangentially ...Parallel Curve

... A parallel of a

... A parallel of a

**curve**is the envelope of a family of congruent circles centered on the**curve**... It can also be defined as a**curve**whose points are at a fixed normal distance of a given**curve**... It is sometimes called the offset**curve**but the term "offset" often refers also to translation ...Algebraic Curve

... Algebraic

... Algebraic

**curves**are the**curves**considered in algebraic geometry ... A plane algebraic**curve**is the locus of the points of coordinates x, y such that f(x, y) = 0, where f is a polynomial in two variables defined over some field F ... If C is a**curve**defined by a polynomial f with coefficients in F, the**curve**is said defined over F ...### Famous quotes containing the word curve:

“Nothing ever prepares a couple for having a baby, especially the first one. And even baby number two or three, the surprises and challenges, the cosmic *curve* balls, keep on coming. We can’t believe how much children change everything—the time we rise and the time we go to bed; the way we fight and the way we get along. Even when, and if, we make love.”

—Susan Lapinski (20th century)

Main Site Subjects

Related Phrases

Related Words