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Reed-Solomon Codes Implementation

Welcome to the Reed-Solomon codes GitHub repository! This project is dedicated to exploring Reed-Solomon codes. These codes are crucial in ensuring data integrity in digital communication and storage systems.

Table of Contents

1. General Info
2. Getting Started
   • Installation
   • Dependencies
   • Usage
3. Repository Structure
4. Links
5. FAQs

General Info

Reed-Solomon codes are a type of error-correcting code that operates on blocks of data. They are capable of detecting and correcting multiple symbol errors, making them invaluable in applications such as:

• QR Codes
• Data transmission in satellite and deep-space communication
• Storage devices (CDs, DVDs, Blu-rays)
• RAID storage systems

At present, only algorithms for polynomials and Galois fields are being developed. The construction of a mother class for the Reed-Solomon code will follow naturally.

Getting Started

Installation

You can use this command from PyPi:

• pip install reedsolomon

Dependencies

Use this command in cmd if you are in a virtual environment:

• pip install -r requirements.txt

Usage

Here is examples to use the Polynomial file:

• example_polynomial.ipynb

The Galois Field file:

• example_galois_field.ipynb

And the Reedsolomon file:

• example_reed_solomon.ipynb

Repository Structure

File composition in the repository :

.  
├── resources  
│   ├── documentation # all .pdf and .html  
│   └── pictures # for the README  
│
├── tests  
│   ├── test_reed_solomon.ipynb 
|   ├── test_galois_field.ipynb 
│   └── test_polynomial.ipynb  
|
├── src  
│   └── reedsolomon
│       ├── examples/notebooks  
│       │   ├── example_reed_solomon.ipynb 
|       │   ├── example_galois_field.ipynb 
│       │   └── example_polynomial.ipynb  
│       │
│       ├── __init__.py
│       ├── polynomial.py
│       ├── reedsolomon.py
│       └── galoisfield.py
│
├── MANIFEST.in
├── LICENSE.md
├── README.md
├── TODO.md
├── requirements.txt
├── pyproject.toml
└── .gitignore

Links

Here you'll find the various resources used to complete this project:

• Resources sites

  • Reed-Solomon Codes (Wikipedia)

  • Reed-Solomon Codes for coders (Wikiversity)

  • An introduction to Reed-Solomon codes: principles, architecture and implementation

  • Finite Field Arithmetic and Reed Solomon Coding - Russ Cox

• GitHub resources:

  • Pure Python implementation

  • Optimized Python implementation

• PDF resources:

  • CRC and Reed Solomon ECC - Jeff Reid.pdf

  • Implementing Reed Solomon - Andrew Brown.pdf

  • Decoding Reed Solomon - Bruce Maggs.pdf

  • Reed Solomon codes for coders - Wikiversity.pdf

  • Reed Solomon Scribe - Inconnu(e).pdf

  • WHP 031 - C.K.P. Clarke.pdf

FAQs

For the moment there is none.