The linear Diophantine system N = 25A and 12B, where p ≡ 1 (mod q)

Description and use

**Brief summary (2‑3 sentences)**
The repository implements a solver for the linear Diophantine system N = 25·A and N = 12·B under the additional congruence condition p ≡ 1 (mod q). Although its README is sparse, the code can be useful for mathematical prototyping, cryptographic research, or any workflow that needs to generate integer solutions to these coupled equations.

**Value**

• Provides a ready‑made implementation for a niche number‑theory problem, saving developers the effort of writing their own solver from scratch.
• The solution can be reused in cryptographic protocols, combinatorial constructions, or educational tools where the specific modulus condition (p ≡ 1 (mod q)) is required.

**Practical adoption path**

1. **Review the repository** – clone the project, read the source files, and verify the license (likely MIT/Apache, but confirm).
2. **Run the test suite** (if any) or create a quick sanity‑check script to ensure the solver returns correct (A, B, N) triples for known cases.
3. **Wrap the core functionality** in a thin API (e.g., a Python package or a command‑line tool) that matches your internal conventions.
4. **Integrate** it into your prototype or internal pipeline, adding logging and error handling as needed.
5. **Perform a security and maintenance audit** – check for open issues, recent commits, and community activity before promoting it to production.

**Production readiness** – **Medium**. The code appears functional and was updated recently (2026‑05‑18), but the project lacks extensive documentation, automated CI, and a clear release cadence. It is suitable for prototypes, internal tools, or research environments, provided you perform the manual checks above and are prepared to maintain the dependency yourself (e.g., fixing bugs or updating for compatibility).

Use in a workflow

The linear Diophantine system N = 25A and 12B, where p ≡ 1 (mod q) may be useful when its README and activity match a concrete workflow.

Limitations and review notes

Medium: useful for prototypes or internal workflows, with dependency and maintenance checks before production.