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lattice-crypto-attacks

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Lattice-based cryptanalysis playbook. Use when attacking RSA via Coppersmith small roots, recovering DSA/ECDSA nonces from bias, solving knapsack problems, or applying LLL/BKZ reduction to cryptographic constructions.

knowledge/hack-skills/skills/lattice-crypto-attacks/SKILL.md

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# SKILL: Lattice-Based Cryptanalysis — Expert Attack Playbook

> **AI LOAD INSTRUCTION**: Expert lattice techniques for CTF and cryptanalysis. Covers LLL/BKZ reduction, Coppersmith's method (univariate and multivariate), Hidden Number Problem for DSA/ECDSA nonce recovery, knapsack attacks, and NTRU analysis. Base models often fail to construct the correct attack lattice (wrong dimensions, missing scaling factors) or misapply Coppersmith bounds.

## 0. RELATED ROUTING

- [rsa-attack-techniques](../rsa-attack-techniques/SKILL.md) for RSA-specific attacks that use lattice methods (Coppersmith, Boneh-Durfee)
- [symmetric-cipher-attacks](../symmetric-cipher-attacks/SKILL.md) for LCG state recovery via lattice
- [classical-cipher-analysis](../classical-cipher-analysis/SKILL.md) when lattice methods apply to classical cipher analysis

### Quick application guide

| Problem Type | Lattice Technique | Key Parameter |
|---|---|---|
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