I would like to help you with your article about Ethereum: in the elliptical curve.
Here is a draft of your article:
Ethereum: In an elliptical curve deduction
While we are deeper into the world of blockchain and cryptocurrency, it is important to understand the underlying technology that works. One of the critical components of Ethereum is elliptical cornering, which plays an important role in its safety and scalability.
What is elliptical curve?
Before we continue, we take a short detour into the world of elliptical curves. An elliptical curve is a kind of mathematical curve with which points are shown on a two -dimensional level with coordinates (x, y). These coordinates are defined by a pair of numbers (A, B) as a “Y cut” or “X-Intercept”.
Elliptical curve operations
In the context of cryptography, elliptical curves offer a safe way to carry out operations such as addition, subtraction, multiplication and exponiation. These operations are carried out using the integrated algorithms of the curve, which ensure that the results are safe and resistant to manipulations.
EC multiplication
When it comes to elliptical curve (EC) multiplication, there are two main methods: point citydition and double doubling. In the case of punctuation, two points are added to the elliptical curve, while the point doubling is used for faster calculations if several points have to be multiplied.
The addition of points is carried out using a certain formula that takes into account the coordinates of the two admitted points. This formula ensures that the result is within the elliptical curve and ensures its safety.
EC Addition
In Ethereum, the EC addition refers to the process of adding two points on an elliptical curve. To carry out this process, we have to use a certain algorithm that concerns the following:
1.. Addition: We add two points P and Q, whereby the formula p + q add up in the item Addition.
- Doupling points: If multiple points are multiplied together, we can use the duplication to reduce the number of calculations required.
Where does the second point come from?
In the EC add -on, the second point is generated using a certain algorithm that ensures that it is located within the elliptical curve. The exact formula for the production of the second point depends on the type of elliptical curve used (e.g. Sei-Kun-Mukai (SKM) or J-de Brion-Soul-Henry-Whorliot (J-Deh-He)).
For SKM, the second point is created as “Q = P + Y A”, whereby “A” is an element of the elliptical curve. For J-Teh-Er, the second point is created as “Q = P-X B”, whereby “B” is another element of the elliptical curve.
In both cases, the algorithm ensures that the second point is within the elliptical curve and follows a certain series of rules to ensure its safety.
Diploma
The EC additive from Ethereum is a critical part of its cryptographic infrastructure. If we understand how EC multiplication and addition work, we can appreciate the complexity and sophistication of the underlying technology of Ethereum. While this article has only scratched the surface of elliptical curves in Ethereum, I hope that it offers a solid basis for further explorations and learning.
Let me know if you have any questions or if I can help something!
Add comment