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Old 2018-09-09, 23:23   #1
bhelmes
 
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Mar 2016

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Default 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

Bernhard
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Old 2018-09-09, 23:38   #2
science_man_88
 
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Quote:
Originally Posted by bhelmes View Post
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

Bernhard
https://en.m.wikipedia.org/wiki/Cross_product
https://en.m.wikipedia.org/wiki/Dot_product
https://en.m.wikipedia.org/wiki/Matrix_multiplication
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Old 2018-09-10, 01:03   #3
CRGreathouse
 
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You mean a multiplication of two points, rather than the usual scalar multiplication? Not that I know of, but surely someone's done this before.
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Old 2018-09-10, 07:31   #4
Nick
 
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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.
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