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  2. Majority logic decoding - Wikipedia

    en.wikipedia.org/wiki/Majority_logic_decoding

    The repetition codes can detect up to [/] transmission errors. Decoding errors occur when more than these transmission errors occur. Decoding errors occur when more than these transmission errors occur.

  3. Concatenated error correction code - Wikipedia

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

    The generalized minimum distance algorithm, developed by Forney, can be used to correct up to dD/2 errors. [2] It uses erasure information from the inner code to improve performance of the outer code, and was the first example of an algorithm using soft-decision decoding. [3] [4]

  4. 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 ()).

  5. 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.

  6. Error detection and correction - Wikipedia

    en.wikipedia.org/wiki/Error_detection_and_correction

    A checksum of a message is a modular arithmetic sum of message code words of a fixed word length (e.g., byte values). The sum may be negated by means of a ones'-complement operation prior to transmission to detect unintentional all-zero messages.

  7. Reed–Muller code - Wikipedia

    en.wikipedia.org/wiki/Reed–Muller_code

    If the minority is larger than the maximum number of errors possible, the decoding step fails knowing there are too many errors in the input code. Once a coefficient is computed, if it's 1, update the code to remove the monomial μ {\textstyle \mu } from the input code and continue to next monomial, in reverse order of their degree.

  8. BCH code - Wikipedia

    en.wikipedia.org/wiki/BCH_code

    Given a prime number q and prime power q m with positive integers m and d such that d ≤ q m − 1, a primitive narrow-sense BCH code over the finite field (or Galois field) GF(q) with code length n = q m − 1 and distance at least d is constructed by the following method.

  9. Category:Error detection and correction - Wikipedia

    en.wikipedia.org/wiki/Category:Error_detection...

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