Difference between revisions of "Category:Basic"
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Revision as of 19:52, 7 February 2019
Summary
This documentary gives a brief introduction into elliptic curve cryptography
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
Standardized ECC
ECC problems
Pages in category "Basic"
The following 49 pages are in this category, out of 49 total.