secp256k1

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secp256k1 is an elliptic curve. It has the formula $y^2 = x^3 + 7$, meaning that any point $(X, Y)$ on the curve needs to satisfy this.

Notably, the secp256k1 curve is used for Bitcoin.

Curve parameters

P = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F
N = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141
A = 0
B = 7

The generator point is as follows

$Gx =$ 0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798.
$Gy =$ 0x483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8.

Useful links

secp256k1 on Bitcoin Wiki

The following pages link here

Nostr

Citation

If you find this work useful, please cite it as:

@article{yaltirakli,
  title   = "secp256k1",
  author  = "Yaltirakli, Gokberk",
  journal = "gkbrk.com",
  year    = "2024",
  url     = "https://www.gkbrk.com/secp256k1"
}

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IEEE Citation

Gokberk Yaltirakli, "secp256k1", December, 2024. [Online]. Available: https://www.gkbrk.com/secp256k1. [Accessed Dec. 17, 2024].

APA Style

Yaltirakli, G. (2024, December 17). secp256k1. https://www.gkbrk.com/secp256k1

Bluebook Style

Gokberk Yaltirakli, secp256k1, GKBRK.COM (Dec. 17, 2024), https://www.gkbrk.com/secp256k1

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