Difference between revisions of "Category:Basic"

From Embedded Lab Vienna for IoT & Security
Jump to navigation Jump to search
(Created page with "== Summary == This documentary gives a brief introduction into elliptic curve cryptography ==Elliptic Curve Cryptography == Elliptic curve cryptography is a part of asymm...")
 
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
== Summary ==


This documentary gives a brief introduction into elliptic curve cryptography
Here you find '''documentations''' regarding fundamental topics, basics, and setup tutorials.
 
==Elliptic Curve  Cryptography ==
 
Elliptic curve cryptography is a part of asymmetric cryptography, it is based on the mathematical hard  problem to find a solution for the elliptic curve discrete logarithm. The calculations are performed on the algebraic structure of elliptic curves over finite fields, which means we compute points on a elliptic curve over finite field by applying the group operations double and add.
 
The scalar multiplication of a point on an elliptic curve over a finite field is equivalent to the exponentation of a number in a prime field, therefore the inversion is also called discrete logarithm.
 
 
First proposed application of elliptic curves in cryptography was random number generations, now  ECC is widely used for key establishment and digital signature schemes.  
 
 
==Elliptic Curve  Presentations==
 
* Weierstrass form
<math>x^2=y^3</math>
 
 
 
 
==Standardized ECC==
 
 
 
==ECC problems==
 
 
[[Category:Basic]]

Latest revision as of 15:19, 24 March 2021

Here you find documentations regarding fundamental topics, basics, and setup tutorials.