# ECDSA key generation

The **ECDSA key-pair** consists of:

* **private key** (integer): ***privKey***
* **public key** (EC point): ***pubKey*** = ***privKey*** \* **G**

The **private key** is generated as a **random integer** in the range \[0...***n***-1]. The public key ***pubKey*** is a point on the elliptic curve, calculated by the EC point multiplication: ***pubKey*** = ***privKey*** \* **G** (the private key, multiplied by the generator point **G**).

The public key EC point {***x***, ***y***} can be **compressed** to just one of the coordinates + 1 bit (parity). For the `secp256k1` curve, the private key is 256-bit integer (32 bytes) and the compressed public key is 257-bit integer (\~ 33 bytes).

[Source](https://cryptobook.nakov.com/digital-signatures/ecdsa-sign-verify-messages)


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