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  2. Error detection and correction - Wikipedia

    en.wikipedia.org/wiki/Error_detection_and_correction

    The on-line textbook: Information Theory, Inference, and Learning Algorithms, by David J.C. MacKay, contains chapters on elementary error-correcting codes; on the theoretical limits of error-correction; and on the latest state-of-the-art error-correcting codes, including low-density parity-check codes, turbo codes, and fountain codes.

  3. Error correction code - Wikipedia

    en.wikipedia.org/wiki/Error_correction_code

    Low-density parity-check (LDPC) codes are a class of highly efficient linear block codes made from many single parity check (SPC) codes. They can provide performance very close to the channel capacity (the theoretical maximum) using an iterated soft-decision decoding approach, at linear time complexity in terms of their block length.

  4. Cyclic redundancy check - Wikipedia

    en.wikipedia.org/wiki/Cyclic_redundancy_check

    The advantage of choosing a primitive polynomial as the generator for a CRC code is that the resulting code has maximal total block length in the sense that all 1-bit errors within that block length have different remainders (also called syndromes) and therefore, since the remainder is a linear function of the block, the code can detect all 2 ...

  5. Automatic repeat request - Wikipedia

    en.wikipedia.org/wiki/Automatic_repeat_request

    Automatic repeat request (ARQ), also known as automatic repeat query, is an error-control method for data transmission that uses acknowledgements (messages sent by the receiver indicating that it has correctly received a message) and timeouts (specified periods of time allowed to elapse before an acknowledgment is to be received) to achieve ...

  6. Hamming code - Wikipedia

    en.wikipedia.org/wiki/Hamming_code

    This is the case in computer memory (usually RAM), where bit errors are extremely rare and Hamming codes are widely used, and a RAM with this correction system is an ECC RAM . In this context, an extended Hamming code having one extra parity bit is often used.

  7. Repetition code - Wikipedia

    en.wikipedia.org/wiki/Repetition_code

    Let's say three errors corrupt the transmitted bits and the received sequence is 111 010 100. Decoding is usually done by a simple majority decision for each code word. That lead us to 100 as the decoded information bits, because in the first and second code word occurred less than two errors, so the majority of the bits are correct. But in the ...

  8. Low-density parity-check code - Wikipedia

    en.wikipedia.org/wiki/Low-density_parity-check_code

    LDPC encoder. During the encoding of a frame, the input data bits (D) are repeated and distributed to a set of constituent encoders. The constituent encoders are typically accumulators and each accumulator is used to generate a parity symbol.

  9. Hybrid automatic repeat request - Wikipedia

    en.wikipedia.org/wiki/Hybrid_automatic_repeat...

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