Binary and Bipolar Matrix Generator using BCH Codes

This repository provides Python code to generate binary and bipolar matrices for compressed sensing applications using BCH (Bose–Chaudhuri–Hocquenghem) codes.

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📌 Features

• Construct binary matrix ( A \in {0,1}^{m \times n} )
• Construct bipolar matrix ( B = 2A - 1 \in {-1,+1}^{m \times n} )
• Based on BCH code structure and minimum distance
• Designed for compressed sensing and sparse recovery

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📦 Files Overview

File Name	Description
bipolar.py	Main generator function for binary/bipolar matrices
custom.py	Custom BCH code setup
custom2.py	Alternate custom matrix construction
cyclo.py	Cyclotomic polynomial-related routines
dmin.py	Minimum distance computation
nsymgen.py	BCH parameter generator (non-symmetric version)
nsymmetric.py	Symmetric variant of BCH parameter setup

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🛠 Installation

You’ll need Python 3 and the following libraries:

pip install numpy galois
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## 👨‍💻 Author

**Shashank Ranjan**  
PhD Researcher, IIT Hyderabad  

- GitHub: [PowerUnlock](https://github.com/PowerUnlock)  
- ORCID: [0009-0002-9665-7682](https://orcid.org/0009-0002-9665-7682)  
- LinkedIn: [Your LinkedIn Profile](https://www.linkedin.com/in/shashank-ranjan-bb3195102/)