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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. Error correction code - Wikipedia

    en.wikipedia.org/wiki/Error_correction_code

    Turbo coding is an iterated soft-decoding scheme that combines two or more relatively simple convolutional codes and an interleaver to produce a block code that can perform to within a fraction of a decibel of the Shannon limit.

  4. Error-correcting codes with feedback - Wikipedia

    en.wikipedia.org/wiki/Error-correcting_codes...

    An error-correcting code is a way of encoding x as a message such that Bob will successfully understand the value x as intended by Alice, even if the message Alice sends and the message Bob receives differ. In an error-correcting code with feedback, the channel is two-way: Bob can send feedback to Alice about the message he received.

  5. Error Carried Forward - Wikipedia

    en.wikipedia.org/wiki/Error_Carried_Forward

    Lawson-Perfect's approach is to represent each part of a question as a function of the answer to the previous part. That is, if a student answer's "x" for part a, the correct answer to part b is "f(x)." No matter what the student puts for part a, the corresponding answer for part b can be calculated quickly.

  6. Error detection and correction - Wikipedia

    en.wikipedia.org/wiki/Error_detection_and_correction

    All error-detection and correction schemes add some redundancy (i.e., some extra data) ... 1010 1010 1010 in the previous example would be detected as correct).

  7. Reed–Muller code - Wikipedia

    en.wikipedia.org/wiki/Reed–Muller_code

    Consider the input code as 1101 1110 0001 0110 (this is the previous code with one error). We know the degree of the polynomial p x {\textstyle p_{x}} is at most r = 2 {\textstyle r=2} , we start by searching for monomial of degree 2.

  8. 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 ()).

  9. Verhoeff algorithm - Wikipedia

    en.wikipedia.org/wiki/Verhoeff_algorithm

    The first table, d, is based on multiplication in the dihedral group D 5. [7] and is simply the Cayley table of the group.Note that this group is not commutative, that is, for some values of j and k, d(j,k) ≠ d(k, j).