multiplication defined by elliptic curves ?
 

A peaceful night for all persons,


I tried to understand the theory of elliptic curves for using factorization.


Is it possible to define a multiplication of points / vectors ?


Greetings from the silence :loco: :hello: :pals:

Bernhard

[QUOTE=bhelmes;495784]A peaceful night for all persons,


I tried to understand the theory of elliptic curves for using factorization.


Is it possible to define a multiplication of points / vectors ?


Greetings from the silence :loco: :hello: :pals:

Bernhard[/QUOTE]

[url]https://en.m.wikipedia.org/wiki/Cross_product[/url]
[url]https://en.m.wikipedia.org/wiki/Dot_product[/url]
[url]https://en.m.wikipedia.org/wiki/Matrix_multiplication[/url]

You mean a multiplication of two points, rather than the usual [url=https://en.wikipedia.org/wiki/Elliptic_curve_point_multiplication]scalar multiplication[/url]? Not that I know of, but surely someone's done this before.

Most good introductory books on Algebraic Number Theory get as far as the group law on elliptic curves - is that what you mean?
A more specific book at undergraduate level is "Rational points on elliptic curves" by Silverman and Tate, published by Springer.