optic.comm.fec.encodeHamming

encodeHamming(bits, param)

Encode binary sequences using a Hamming code.

Parameters:

• bits (np.array of shape (k, N)) – Binary input sequences to encode. Each column is a bit sequence of length \(k\).

• param (object) –

  Object containing the following attributes:

  • mint

    Number of check bits for the Hamming code.

  • extendedbool, optional

    If True, use the extended Hamming code (default is False).

Returns:

codewords – Encoded binary codewords. Each column corresponds to a codeword of length \(n\) resulting from applying the Hamming encoding to the respective input bit sequence.

Return type:

np.array of shape (n, N)

References

[1] R. W. Hamming, “Error detecting and error correcting codes,” Bell System Technical Journal, vol. 29, no. 2, pp. 147-160, April 1950.

[2] S. Lin and D. J. Costello, “Error Control Coding: Fundamentals and Applications,” 2nd Edition, Pearson, 2004.