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  2. Concatenated error correction code - Wikipedia

    en.wikipedia.org/wiki/Concatenated_error...

    The description above is given for what is now called a serially concatenated code. Turbo codes, as described first in 1993, implemented a parallel concatenation of two convolutional codes, with an interleaver between the two codes and an iterative decoder that passes information forth and back between the codes. [6]

  3. Serial concatenated convolutional codes - Wikipedia

    en.wikipedia.org/wiki/Serial_concatenated...

    The natural code rate of the configuration shown is 1/4, however, the inner and/or outer codes may be punctured to achieve higher code rates as needed. For example, an overall code rate of 1/2 may be achieved by puncturing the outer convolutional code to rate 3/4 and the inner convolutional code to rate 2/3.

  4. Reed–Solomon error correction - Wikipedia

    en.wikipedia.org/wiki/Reed–Solomon_error...

    Deep-space concatenated coding system. [8] Notation: RS(255, 223) + CC ("constraint length" = 7, code rate = 1/2). One significant application of Reed–Solomon coding was to encode the digital pictures sent back by the Voyager program.

  5. Convolutional code - Wikipedia

    en.wikipedia.org/wiki/Convolutional_code

    In telecommunication, a convolutional code is a type of error-correcting code that generates parity symbols via the sliding application of a boolean polynomial function to a data stream. The sliding application represents the 'convolution' of the encoder over the data, which gives rise to the term 'convolutional coding'.

  6. Turbo code - Wikipedia

    en.wikipedia.org/wiki/Turbo_code

    The first public paper on turbo codes was "Near Shannon Limit Error-correcting Coding and Decoding: Turbo-codes". [4] This paper was published 1993 in the Proceedings of IEEE International Communications Conference. The 1993 paper was formed from three separate submissions that were combined due to space constraints.

  7. Error correction code - Wikipedia

    en.wikipedia.org/wiki/Error_correction_code

    Locally decodable codes are error-correcting codes for which single bits of the message can be probabilistically recovered by only looking at a small (say constant) number of positions of a codeword, even after the codeword has been corrupted at some constant fraction of positions.

  8. Wikipedia:Peer review/Concatenated error correction codes ...

    en.wikipedia.org/wiki/Wikipedia:Peer_review/...

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  9. Burst error-correcting code - Wikipedia

    en.wikipedia.org/wiki/Burst_error-correcting_code

    Proof. We need to prove that if you add a burst of length to a codeword (i.e. to a polynomial that is divisible by ()), then the result is not going to be a codeword (i.e. the corresponding polynomial is not divisible by ()).