- In
algebraic geometry, a
hyperelliptic curve is an
algebraic curve of
genus g > 1,
given by an
equation of the form y2+h(x)y=f(x){\displaystyle y^{2}+h(x)y=f(x)}...
-
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...
-
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
surface whose Albanese morphism is an
elliptic fibration. Any such
surface can be...
- 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 ∫xkdxQ(x){\displaystyle \int {\frac {x^{k}\,dx}{\sqrt...
-
There are two
types of
hyperelliptic curves, a
class of
algebraic curves: real
hyperelliptic curves and
imaginary hyperelliptic curves which differ by...
-
Cryptographic Research at the
University of Waterloo. He is the
creator of
hyperelliptic curve cryptography and the
independent co-creator of
elliptic curve...
-
developments in
using hyperelliptic curves to
factor integers.
Cosset shows in his
article (of 2010) that one can
build a
hyperelliptic curve with
genus two...
- by
Gerhard Frey and
YoungJu Choie,
concerned Efficient Arithmetic on
Hyperelliptic Curves.
After postdoctoral studies at Ruhr
University Bochum, she became...
