Code rate

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Different code rates (Hamming code).

In

forward error correction code is the proportion of the data-stream that is useful (non-redundant
). That is, if the code rate is for every k bits of useful information, the coder generates a total of n bits of data, of which are redundant.

If R is the

net bit rate (the useful bit rate exclusive of error correction codes
) is .

For example: The code rate of a

denoted RS(204,188) is 188/204, meaning that 204 − 188 = 16 redundant octets (or bytes) are added to each block of 188 octets of useful information.

A few error correction codes do not have a fixed code rate—

rateless erasure codes
.

Note that

information rate
, implying that it is synonymous with net bit rate or useful bit rate exclusive of error-correction codes.

See also

References

  1. ^ Huffman, W. Cary, and Pless, Vera, Fundamentals of Error-Correcting Codes, Cambridge, 2003.