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Swarmauri Hamming (7,4) matrix community package.

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Swarmauri Matrix Hamming(7,4)

The swarmauri_matrix_hamming74 package provides a binary Hamming (7,4) code matrix that extends MatrixBase. It includes generator and parity-check representations, encoding and decoding helpers, and tight integration with the swarmauri_metric_hamming package for error detection and correction workflows.

Features

  • 🧮 Binary matrix implementation built on MatrixBase with full indexing and arithmetic support.
  • 🧷 Generator and parity-check matrix accessors for classic Hamming (7,4) coding schemes.
  • 📨 Encoding, syndrome calculation, and nearest-codeword decoding helpers powered by the Hamming metric.
  • 🔁 Binary-safe matrix operations (addition, subtraction, multiplication, and matrix multiplication modulo 2).

Installation

Using uv

uv pip install swarmauri_matrix_hamming74

Using pip

pip install swarmauri_matrix_hamming74

Usage

from swarmauri_matrix_hamming74 import Hamming74Matrix

matrix = Hamming74Matrix()
message = [1, 0, 1, 1]
codeword = matrix.encode(message)

# Introduce a single-bit error
received = codeword.copy()
received[3] ^= 1

# Decode using syndrome lookup and Hamming distance search
nearest = matrix.nearest_codeword(received)
print(nearest)  # Recovers the original codeword

Support

  • Python 3.10, 3.11, and 3.12
  • Licensed under the Apache-2.0 license

Contributing

We welcome contributions! Please submit issues and pull requests through the Swarmauri SDK GitHub repository.

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