lattice-crypto-attacks

lattice-crypto-attacks is a skill for Claude Code, Codex from yaklang/hack-skills. It costs 55 tokens per session (4,464 once invoked), scanned A, original, MIT.

A guide to using mathematical lattices to analyze weaknesses in cryptographic systems. A lattice is a structured set of points that can help reveal hidden numbers or small mathematical solutions.

In plain words
What is it for?
It helps analyze RSA small-root and small-private-key weaknesses, recover biased DSA or ECDSA nonces, attack knapsack systems, and use LLL or BKZ reduction in cryptanalysis.
Why use it?
Some cryptographic attacks depend on recovering a small secret, a biased signing nonce, or a weakly structured solution, but the required lattice setup is easy to get wrong. The guide covers the construction and limits for several attack types.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit It helps analyze RSA small-root and small-private-key weaknesses, recover biased DSA or ECDSA nonces, attack knapsack systems, and use LLL or BKZ reduction in cryptanalysis.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/yaklang/hack-skills/lattice-crypto-attacks
About the project

HackSkills is an organized knowledge base of installable skills that gives AI agents practical security knowledge across areas such as web security, privilege escalation, reverse engineering, and digital forensics. It is intended for bug bounty work, penetration testing, CTF competitions, and authorized security research. The catalogue entries are the project's own master, category, and topic skills.

yaklang/hack-skills · 2,133 stars · on GitHub

Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add yaklang/hack-skills --skill lattice-crypto-attacks
Clone the repo
git clone --depth 1 https://github.com/yaklang/hack-skills

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for lattice-crypto-attacks

README.md
[![agentmods](https://agentmods.dev/badge/skills/yaklang/hack-skills/lattice-crypto-attacks.svg)](https://agentmods.dev/skills/yaklang/hack-skills/lattice-crypto-attacks)
Your own site
<a href="https://agentmods.dev/skills/yaklang/hack-skills/lattice-crypto-attacks"><img src="https://agentmods.dev/badge/skills/yaklang/hack-skills/lattice-crypto-attacks.svg" alt="Measured on agentmods" height="20"></a>
Per session 55 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 4,464 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • Socket warn 9 Apr 2026
  • Snyk fail 9 Apr 2026
  • NVIDIA SkillSpector warn 7 Sept 2026
SkillSpector: 1 finding, up to medium

These are SkillSpector’s own severities. On a checked sample its high-severity flags on skills were ~96% false positives — a documented command, a public API, a “never do X” rule — so we show them as a caution to read, not a verdict. Why →

  • medium analysis-evasion · line 1
    Suspicious Unicode normalization or mixed-script content
    Fix: Review the flagged content for security risks. Ensure no credentials, secrets, or sensitive data are exposed.
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00055 $0.04464
Opus 5 $0.00028 $0.02232
Sonnet 5 $0.00011 $0.00893
Haiku 4.5 $0.00006 $0.00446

Measured 8d ago against content hash 5d548bccb6d8, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-08, from the pricing page.

Security

Grade A, and why

lattice-crypto-attacks scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 8d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

Origin

Copies of this mod

4 near-identical copies found in the catalogue:

skills/lattice-crypto-attacks/SKILL.md · 498 lines

How it starts

The opening of the file, as written. The whole thing — 498 lines — stays where its author put it; the contents beside it link to each section on GitHub.

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.

Quick application guide

Problem Type Lattice Technique Key Parameter
RSA small roots Coppersmith (LLL on polynomial lattice) Root bound X < N^(1/e)
RSA small d Boneh-Durfee (multivariate Coppersmith) d < N^0.292
DSA/ECDSA nonce bias Hidden Number Problem → CVP Bias bits known
Knapsack cipher Low-density lattice attack Density < 0.9408
LCG truncated output CVP on recurrence lattice Unknown bits per output
Subset sum LLL reduction on knapsack lattice Element size vs count
NTRU key recovery Lattice reduction on NTRU lattice Dimension and key size

1. LATTICE FUNDAMENTALS

1.1 Definitions

A lattice L is the set of all integer linear combinations of basis vectors:

L = { a₁·b₁ + a₂·b₂ + ... + aₙ·bₙ | aᵢ ∈ ℤ }

where b₁, ..., bₙ are linearly independent vectors in ℝᵐ.

Key problems:

  • SVP (Shortest Vector Problem): Find the shortest non-zero vector in L
  • CVP (Closest Vector Problem): Given target t, find v ∈ L closest to t
  • SVP is NP-hard in general, but LLL finds an approximately short vector in polynomial time

1.2 Lattice Quality Metrics

Read the full file on GitHub · 498 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 8d ago First seen · 498 lines · 55 tokens per session scan A 5d548bccb6d8

Subscribe to this mod's changes

lattice-crypto-attacks is a skill published in the GitHub repository yaklang/hack-skills (2,133 stars, last pushed 2mo ago), licensed MIT. It adds 55 tokens to every session and 4,464 once invoked, about $0.0003 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-30.

Related

Other skills, from other repositories

systematic-debugging

Use when encountering any bug, test failure, or unexpected behavior, before proposing fixes.

obra/superpowers · 21 tokens

local-ai-agents

Build local-first AI agents that run entirely on a developer workstation with Microsoft Foundry Local and Qwen function-calling models. Covers Small Language Models (SLMs), the OpenAI-compatible local endpoint, sandboxed local tools, local RAG with Chroma, local MCP servers, hybrid cloud/local routing, and the…

microsoft/ai-agents-for-beginners · 200 tokens

next-cache-components-adoption

Turn on Cache Components in a Next.js app and resolve the blocking routes it surfaces. Use when the user wants to enable, adopt, or migrate to Cache Components, flip the cacheComponents flag, work through a flood of blocking-prerender / instant validation errors, run the cache-components-instant-false codemod, or…

vercel/next.js · 95 tokens

next-cache-components-optimizer

Drive a Next.js route to instant navigation by setting up an agentic loop, under Cache Components / PPR, on initial load (hard navigation) and client-side navigation (soft navigation). Encode the goal as a failing @next/playwright instant() e2e and work it to green, one verified route at a time; the shipped test then…

vercel/next.js · 170 tokens

next-partial-prefetching-adoption

Turn on Partial Prefetching in a Next.js app and work through the insights it surfaces. Use when the user wants to enable or adopt Partial Prefetching, flip the partialPrefetching flag, opt routes in with export const prefetch = 'partial', audit Link prefetch={true} behavior, preserve existing prefetched UI with…

vercel/next.js · 103 tokens

chronicle

Analyze Copilot session history for standup reports, usage tips, session search, and session reindexing. Use when the user asks for a standup, daily summary, usage tips, workflow recommendations, wants to search or find past sessions by keyword/file/PR, wants to reindex their session store, or asks about deleting…

microsoft/vscode · 72 tokens