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---
license: cc-by-4.0
tags:
- math
- cryptography
pretty_name: Datasets for Learning the Learning with Errors Problem
size_categories:
- 100M<n<1B
---

# TAPAS: Datasets for Learning the Learning with Errors Problem

AI-powered attacks on Learning with Errors (LWE)—an important hard math problem in post-quantum cryptography—rival or outperform "classical" attacks on LWE under certain parameter settings. Despite the promise of this approach, a dearth of accessible data limits AI practitioners' ability to study and improve these attacks. Creating LWE data for AI model training is time- and compute-intensive and requires significant domain expertise. To fill this gap and accelerate AI research on LWE attacks, we propose the TAPAS datasets, a **t**oolkit for **a**nalysis of **p**ost-quantum cryptography using **A**I **s**ystems. These datasets cover several LWE settings and can be used off-the-shelf by AI practitioners to prototype new approaches to cracking LWE. 

The table below gives an overview of the datasets provided in this work:
| n    | log q | omega | rho | # samples |
|--------|-----------|----------|--------|------------|
| 256  | 20      | 10       | 0.4284 | 400M       |
| 512  | 12      | 10       | 0.9036 | 40M        |
| 512  | 28      | 10       | 0.6740 | 40M        |
| 512  | 41      | 10       | 0.3992 | 40M        |
| 1024 | 26      | 10       | 0.8600 | 40M        |