In the following, a few different codes are listed that have been realized in one or more different ways. For all of the examples, a short definition is given and the behavior can be tested online as simulation in JAVA.
For more details see the documentation.
More info about the JAVA programs.
The [N=7, k=4, dmin=3] Hamming code is extended by a further parity bit in order to get the [8,4,4] extended Hamming code. The code is systematic and has sixteen different codewords. For a definition of the generator matrix and a parity check matrix, see realization 1.
The following realizations are available:
For the [24,12,8] extended Golay code at the moment only one realization is availabe. For further details about the code, see realization 1 or the documentation.
The following realizations are available:
This code has also been implemented in hardware [11], [12].
The following realizations are available: