Existing Code for Generating Biased Nonces or a Database for Research

[vdog99]

I am looking for a Program or a Method to Generate Biased Nonce Signatures simulating the real world for Research Purposes.

I Want to Deeper and Better Understanding of Lattices for Cryptanalysis by actually solve HNP without but I want to start with a 64 Bit Bias Nonces and go down from there. There is database of signatures for 1 bit nonce bias here https://github.com/akiratk0355/ladderleak-attack-ecdsa
but I need like a range from 64 down to 1 or 2

Does anyone have any Ideas, Database of Signatures with Biases that can I can use for Testing and Research?


I am aware of the Deterministic Nonces used in Bitcoin, this is not for attack purpose but for research only

[flapduck]

If you dig through that GitHub repo you linked, you'll notice it's already basically the seed crystal that you need.

It's solving the HNP setup and it has a toy pipeline for producing and/or consuming signatures in the exact format the lattice code expects.

Instead of hunting for some magical database of "realistic" biased signatures, just generate your own in a clean sandbox with a throwaway key and a nonce source you intentionally cripple in controlled ways, then crank the parameter knob and watch where the solver starts to succeed or fail.

[vdog99]

Thanks I am using that and the minerva set decided to build my own DB

Research is not on LLL or BKZ algorithms but something else. It would nice to have a clean set of tested DBs which have been verified by community

[Redni]

I'm building a suite of Rust tools for blockchain security research:

vusi - ECDSA signature vulnerability analysis. Currently implements nonce reuse detection with private key recovery. Roadmap includes:

• Biased nonce attacks (HNP/lattice) - #3
• LCG nonce detection - #4
• Polynonce attacks - #2
• Vulnerable signature generator for research - #8 (generate biased/LCG/related nonces with controlled parameters, 64-bit down to 1-bit)

vuke - Weak key generation analysis. Reproduces historical vulnerabilities: brainwallets, Milksad (MT19937), MultiBit HD bug, Electrum pre-BIP39, LCG/Xorshift PRNGs, SHA256 chains. Both generates weak keys and scans for them.

vusi follows the same architecture - one tool that generates test data and analyzes/attacks it. Complete research pipeline.

If you're interested in contributing or testing, repos are open.