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Mathematical Relationship: How to generate different titles from the same private key

In the field of cryptocurrency, in the area of ​​special Ethereum, it is crucial for understanding basic mathematics to understand how different titles are generated. One of the concepts we remember is a relationship between private keys and public keys, which eventually becomes a unique blockchain.

Part of these strangers should dive into the details: When we create an Ethereum portfolio, it generates two types of titles:

  • Private Key : A secret code to sign (or “sign”).

2.

The relationship between private keys and public titles lies in the mathematical concept of elliptical curves, which are used to encoder and control blockchain cryptographic operations.

From the private key to the public address

Think about the following steps:

  • Make a pair

    Ethereum: How are different addresses generated from the same private key?

    : Create a pair of numbers (P, Q) that determine the elliptical curve with your personal key.

  • Select E

    : This is a large integer (E) that determines the level of difficulty in performing certain mathematical operations on the curve.

  • Calculate k and n : These values ​​are chosen by n (P-1), Q, P, and E products.

From the public key to

The public key consists of four hexadecimal figures: `0x [Base58 coded private key]. To turn this to a unique address on the Ethereum network:

1.

  • Change to E : After applying the resulting number, using the E, Public key.

Why more titles from a private key?

We now address why you can get more titles when you generate Ethereum portfolio:

  • BASE58 Coding : This step converts the private key into a compact form that can be easily stored and transmitted (coded base58).

  • HASH Function : Then the base58 public key is transmitted through a hash function that generates a fixed size string.

This mathematical manipulation ensures that the various titles from the only private key is random and unpredictably generated, providing an additional security against possible attacks or unauthorized transactions.

Summary:

  • Private Key generates two types of Ethereum titles: a public key (or address) and another number (P, Q) an elliptical curve.

  • The public key is further changed by removing the coded private key58 2 and using modular operations with a large integer.

  • This process contains many unique titles for each portfolio, ensuring safety and preventing attacks.

Understanding the Ethereum titles can help you generate a private key to navigate the cryptocurrency world more confidently.