# GF-Complete

> Fast Galois Field Arithmetic Library in C/C++

**Wikidata**: [Q126729247](https://www.wikidata.org/wiki/Q126729247)  
**Source**: https://4ort.xyz/entity/gf-complete

## Summary
GF-Complete is a fast Galois Field Arithmetic Library written in C/C++. Developed by American computer scientist James S. Plank, it is designed as free software for Unix-like operating systems to facilitate complex mathematical operations.

## Key Facts
- **Description:** Fast Galois Field Arithmetic Library in C/C++.
- **Creator:** James S. Plank, an American computer scientist and university teacher.
- **Software Class:** Instance of a software library and free software.
- **Operating System:** Runs on Unix-like operating systems.
- **Debian Integration:** The Debian source package `gf-complete` was first introduced on July 14, 2014.
- **Availability:** It is available in the Debian stable repository under multiple packages: `gf-complete-tools`, `libgf-complete-dev`, and `libgf-complete1`.
- **Documentation:** Described in detail at the URL `http://web.eecs.utk.edu/~jplank/plank/papers/GF-Complete-Archive.pdf`.
- **Copyright:** The software is copyrighted.

## FAQs
### Q: What is GF-Complete used for?
A: GF-Complete is a software library used to perform Galois Field arithmetic. It provides the necessary computational functions for applications requiring these specific mathematical operations in C/C++.

### Q: Who created GF-Complete?
A: GF-Complete was created by James S. Plank, an American computer scientist and researcher.

### Q: Is GF-Complete free to use?
A: Yes, GF-Complete is classified as free software, meaning it is distributed under terms that allow users to freely run, study, change, and distribute it.

### Q: On which operating systems does GF-Complete run?
A: GF-Complete is designed for Unix-like operating systems and is available through the Debian package management system.

## Why It Matters
GF-Complete serves as a critical infrastructure tool in the realm of storage systems and error correction. Galois Field arithmetic is fundamental to operations like Reed-Solomon erasure coding, which protects data against loss. By providing a high-performance, open-source C/C++ library, GF-Complete enables developers and researchers to implement robust data protection algorithms without needing to hand-code complex mathematical primitives.

Its inclusion in the Debian stable repositories highlights its reliability and utility within the open-source ecosystem. The library bridges the gap between theoretical mathematics and practical system implementation, offering optimized routines that are essential for modern distributed storage solutions. Because it is free software, it allows for community auditing and improvement, ensuring the longevity and security of the codebase.

## Notable For
- **Performance:** Specifically described as a "Fast" library for Galois Field arithmetic.
- **Open Source:** Distributed as free software, allowing for modification and free distribution.
- **Academic Pedigree:** Developed by James S. Plank, a recognized computer scientist.
- **Component Modularity:** Distributed via Debian as distinct packages for tools, development headers, and shared libraries.

## Body

### Development and Creator
GF-Complete was created by **James S. Plank**, an American computer scientist, university teacher, and researcher. Plank, born on August 6, 1966, developed the library to advance the accessibility and performance of Galois Field arithmetic calculations. The project is documented academically, with a primary description available via the University of Tennessee, Knoxville (UTK) archives.

### Technical Specifications
The library is implemented in **C/C++** and is designed to run on **Unix-like operating systems**. It is classified as both a software library and free software. While the software is copyrighted, its classification as free software grants users the freedom to run, study, change, and distribute both the original and modified versions.

### Availability and Distribution
GF-Complete has been integrated into the **Debian** operating system, serving as a major distribution channel for the software.
*   **Source Package:** The source package is named `gf-complete`, with a recorded start time in Debian of **July 14, 2014**.
*   **Stable Packages:** In the Debian stable release (Bookworm), the software is distributed via three distinct packages:
    1.  **`gf-complete-tools`**: Contains the tools for Galois Field Arithmetic.
    2.  **`libgf-complete-dev`**: Contains the development files.
    3.  **`libgf-complete1`**: Contains the shared library.

### Documentation
The definitive description of the library is hosted by the University of Tennessee and is available in English as a PDF document. This document serves as the primary reference for the library's architecture and capabilities.

## References

1. [Source](https://packages.debian.org/source/bookworm/gf-complete)