- In
algebraic geometry, a
hyperelliptic curve is an
algebraic curve of
genus g > 1,
given by an
equation of the form y 2 + h ( x ) y = f ( x ) {\displaystyle...
-
curve for
higher genus hyperelliptic curves arises in the same way with
higher power monomials in x. Otherwise, for non-
hyperelliptic C
which means g is at...
-
there are two
types of
hyperelliptic curves, a
class of
algebraic curves: real
hyperelliptic curves and
imaginary hyperelliptic curves which differ by...
-
Hyperelliptic curve cryptography is
similar to
elliptic curve cryptography (ECC)
insofar as the
Jacobian of a
hyperelliptic curve is an
abelian group...
- In mathematics, a
hyperelliptic surface, or bi-elliptic surface, is a
minimal surface whose Albanese morphism is an
elliptic fibration without singular...
- A
hyperelliptic curve is a
particular kind of
algebraic curve.
There exist hyperelliptic curves of
every genus g ≥ 1 {\displaystyle g\geq 1} . If the genus...
- to all
curves over the
complex numbers. They
include for
example the
hyperelliptic integrals of type ∫ x k d x Q ( x ) {\displaystyle \int {\frac {x^{k}\...
- The
Tobler hyperelliptical projection is a
family of equal-area
pseudocylindrical projections that may be used for
world maps.
Waldo R.
Tobler introduced...
-
Cryptographic Research at the
University of Waterloo. He is the
creator of
hyperelliptic curve cryptography and the
independent co-creator of
elliptic curve...
- 2,1, and the
numerator is a quadratic. As an example,
consider the
hyperelliptic curve C : y 2 + y = x 5 , {\displaystyle C:y^{2}+y=x^{5},}
which is...
