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LDPC recovery

This project aims to recover H matrix of a LDPC code without candidate set on a noisy channel

Final goal is to fully recover Parity Check Matrix(H) of a NAND flash memory

Theoretical background

Installations

This project is based on python. Below are the packages that needs to be installed:

numpy
numba
scipy
matplotlib

Files

  • main.py
    An executable file that generates LDPC code with random H matrix, and performs ECO to recover H matrix
  • progressive_reconstruction.py
    An executable file based on paper 'progressive reconstruction of LDPC H matrix ...'
  • column_extract_reconstruction.py
    An executable file based on paper about 'column extraction method' by Y.ding
  • GERCE.py
    An implementation of function in column extraction method
  • LDPC_sampler.py
    Randomly generates H matrix and code words corresponding to it
  • ECO.py
    Performs fast Elementary Column Operation
  • gauss_elim.py
    Original code for fast gaussian elimination on GF2 (binary matrix)
  • extracter.py
    Extracts parity check vector from ECO matrix
  • verifier.py
    Format H matrix into diagonal format and verify if it is same as the original one
  • sparsifier.py
    Sparsify a binary matrix
  • prettyprinter.py
    Prints 2D array in a readable format
  • fullcode.py
    One file that contains everything, used in translation to C code

version history

2025.06.24 Basic LDPC simulation without noise
2025.07.03 Add small noise and sort dual vectors by reliability (if more dual vectors are found than n-k, we crop it)
2025.07.22 ~ 2026.07.25 Progressive reconstruction implementation
2025.07.31 Column extraction method implementation
2025.08.13 ECO parallelism to full capacity
2025.08.17 Debug ECO for GERCE file
2025.08.19 CSV file saver
2025.08.20 QC LDPC generator
2025.08.25 ~ 2025.08.27 Add iterative decoder
2025.08.28 all matrix are changed from np.int64 into np.uint8
2025.09.05 revisit progressive reconstruction

TODO
Read the real codeword data and try to recover H matrix
Find optimal beta value

License

Available for non-commercial use

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