CORSICA BUKU YANG BERKAIT DENGAN «ISOGENY»
Ketahui penggunaan
isogeny dalam pilihan bibliografi berikut. Buku yang berkait dengan
isogeny dan ekstrak ringkas dari yang sama untuk menyediakan konteks penggunaannya dalam kesusasteraan Corsica.
1
Number Theory: Volume I: Tools and Diophantine Equations
Thus, as algebraic curves, or equivalently, over an algebraically closed field
extension of the base field, a nonconstant isogeny induces an isomorphism from
E/Ker(φ) to E , where E/Ker(φ) must be suitably defined as an elliptic curve. If
there ...
2
Elliptic Curves and Their Applications to Cryptography: An ...
It is defined over k if it actually lies on E'k^Ey An isogeny is a rational map which
is furthermore a group homomorphism. E and E' are called isogenous if there is
an isogeny from E to E' ; they are called fc-isogenous if the isogeny is defined ...
3
Diophantine Geometry: An Introduction
A map a e Hom(Gi,G2) is called an isogeny if it is surjective, has finite kernel, and
dimGi — dimG2- The cardinality of ker(o:) is called the degree of a. (N.B. This
definition of the degree is appropriate only for separable maps.) It is clear that if
G2 ...
Marc Hindry, Joseph H. Silverman, 2000
4
Elliptic Curves in Cryptography
The map which sends every point on EI to O on E-i is also called an isogeny. It is
the zero isogeny, and is the only constant isogeny. Isogenies play a crucial role
in the theory of elliptic curves. In this section we summarize the main results that ...
Ian F. Blake, G. Seroussi, N. Smart, 1999
5
Number Fields and Function Fields – Two Parallel Worlds: Two ...
Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas.
Gerard B. M. van der Geer, BJJ Moonen, René Schoof, 2006
6
Advances in Elliptic Curve Cryptography
V111.3. Extending the GHS Attack Using Isogenies V111.3.1. The Basic Idea.
The GHS attack can be extended to a much larger class of curves by using
isogenies. Consider two elliptic curves 5 and 5' defined over K. An isogeny (b : 5
—> 5' ...
Ian F. Blake, Gadiel Seroussi, Nigel P. Smart, 2005
7
Mathematics of Public Key Cryptography
Let 1,0 : E —> E be another isogeny over 1k such that ker(1//) : G. Show that lb : A
o 42 where A is an automorphism of E (or, if 1k is finite, the composition of an
isogeny and a Frobenius map). Similarly, if 1/1 : E —> E2 is an isogeny over 1k ...
Steven D. Galbraith, 2012
8
Public Key Cryptography -- PKC 2004: 7th International ...
For the standard addition formulae, we also search the minimal isogeny degree
to a curve which we prefer for particularly efficient implementation, namely a = —
3 as described in section 2. We call the former as the minimal isogeny degree ...
Feng Bao, Robert Deng, Jianying Zhou, 2004
9
Arithmetic Geometry: Clay Mathematics Institute Summer ...
We say an abelian variety A of dimension g over a field K is supersingular if there
exists an isogeny A ®K k N E9 , where E is a supersingular elliptic curve. An
equivalent definition for an abelian variety in characteristic p to be supersingular
is ...
Clay Mathematics Institute. Summer School, Henri Darmon, 2009
10
Information Security Applications: 9th International ...
Using these probabilities and the cost to compute an l–isogeny, if we try to find a
resistant curve with the two initial methods, the l values and the computational
cost increase sharply. Nevertheless, if we try to do the same with the isogeny–
route ...
Kyo-Il Chung, Kiwook Sohn, Moti Yung, 2009
