Ethereum: How were the secp256k1 base point coordinates decided?

Understanding the creation of the coordinates of the basic point of Ethereum

The decision, which is based on the selection of a certain series of basic coordinates for the public key structure of Ethereum, has aroused curiosity among fans and developers. The current implementation is based on the assumption that this selection was carried out carefully, since both the theoretical requirements and the practical restrictions were taken into account.

The importance of basic points for the encryption of the elliptical curve

In the context of the encryption of the elliptical curve (etc.), the basic points play a crucial role. They serve as a starting point to generate public keys with which the data is encrypted and decrypted. The choice of basic points is not arbitrary; It is based on several factors that have developed over time.

SECP256K1: A elliptical curve suitable

The SECP256K1 curve is an elliptical curve that is widespread in the ECC. The security properties make it an attractive choice for cryptographic applications, including those used in blockchain as an ethereum. The curve was designed in such a way that it is efficient and scalable, with a large number of points (257) with which secure keys can create.

The Genesis point: a random but safe selection

According to the declaration of the Ethereum development team, the Genesis point was randomly selected by a number of possible basic points. This is not surprising if you have selected the pure size of the SECP256K1 curve and the numerous potential basic points. The random selection process was to ensure that not a single point was regarded as safer or desirable than others.

Why 79be667ef9dcbac55a06295CE87029BFCDB2DCE28D959F2815B16F81798?

The specific value of 79be667ef9dcbac55a06295ce87029BFCDB28D959F2815B16F81798 is the result of the random selection process. Essentially, this point was selected as the starting point for the production of keys because it is on the curve on the curve. The exact reason for the selection of this specific value may not be publicly announced, but it is clear that developers aim to create a secure and efficient base point.

Comparison with other points

Comparison of the selected Genesis point (79be667ef9dcbac55a06295ce87029bfcdb2dce28d959f2815B16F81798) revealed interesting differences with other points on the SecP256K1 curve. For example, due to their distribution or closeness to the center of the curve, some points can be safer than others.

Diploma

The creation of the coordinates of the Ethereum base point is based in a combination of theoretical requirements and practical considerations. The random selection process aimed to ensure that not a single point was considered more desirable than others, whereby the selected value was selected (79be67Ef9dcbac55a06295ce87029BFCDB28D959F2815B16F81798). This understanding not only provides insights into the development process, but also shows how important it is to carefully select the basic points in cryptographic systems.

Additional resources

For those who want to learn more about Ethereum Genesis Point or about the SecP256K1 curve, I recommend that you look at the following resources:

• Ethereum White Paper (available on his website)

• Documentation by Ethereum Developer (especially the file of the ETH-genesis.json`)

• Encryption tutorial and explanations from reliable sources

By researching these resources, you can get a deeper understanding of the underlying mechanisms that guide the safety and scalability of Ethereum.

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