---
title: "ECDSA on brainpoolP512t1: which blockchains use it"
url: "https://hardyindex.com/algorithms/ecdsa-brainpoolp512t1"
---

# ECDSA on brainpoolP512t1

The Elliptic Curve Digital Signature Algorithm over brainpoolP512t1, a 512-bit Brainpool curve: a twist of a curve whose parameters were generated verifiably pseudo-randomly. Nexus signature chains use it by default. A larger curve raises the classical cost of attack but not the quantum one: Shor's algorithm on a cryptographically relevant quantum computer recovers the private key from the public key.

- **Quantum status:** Broken by Shor's algorithm on a cryptographically relevant quantum computer.
- **Standard:** RFC 5639 (IETF, final).
- **Family:** elliptic curve.
- **Also known as:** Brainpool, brainpoolP512t1.

## Rated chains using it

- [Nexus](https://hardyindex.com/chains/nexus.md): account signatures, mainnet, default, brainpoolP512t1. The default when no scheme is given, and verified in consensus at transaction.cpp lines 535 to 546. Every sampled transaction carried a 65-byte key. Source (source code or release): https://github.com/Nexusoft/LLL-TAO/blob/5.1.6/src/TAO/API/extract.cpp#L424-L428
- [Nexus](https://hardyindex.com/chains/nexus.md): validator consensus, mainnet, default, brainpoolP512t1. The miner or staker signs each block with its producer key, built with the Brainpool default. Source (source code or release): https://github.com/Nexusoft/LLL-TAO/blob/5.1.6/src/TAO/Ledger/tritium.cpp#L547-L586

## Sources

- [RFC 5639: Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation](https://datatracker.ietf.org/doc/html/rfc5639), IETF. Accessed 23 October 2026.