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  2. Verhoeff algorithm - Wikipedia

    en.wikipedia.org/wiki/Verhoeff_algorithm

    Verhoeff had the goal of finding a decimal code—one where the check digit is a single decimal digit—which detected all single-digit errors and all transpositions of adjacent digits. At the time, supposed proofs of the nonexistence [ 6 ] of these codes made base-11 codes popular, for example in the ISBN check digit .

  3. Adaptive Huffman coding - Wikipedia

    en.wikipedia.org/wiki/Adaptive_Huffman_coding

    Some important terminologies & constraints :- Implicit Numbering : It simply means that nodes are numbered in increasing order by level and from left to right. i.e. nodes at bottom level will have low implicit number as compared to upper level nodes and nodes on same level are numbered in increasing order from left to right.

  4. Damm algorithm - Wikipedia

    en.wikipedia.org/wiki/Damm_algorithm

    The Damm algorithm is similar to the Verhoeff algorithm.It too will detect all occurrences of the two most frequently appearing types of transcription errors, namely altering a single digit or transposing two adjacent digits (including the transposition of the trailing check digit and the preceding digit).

  5. Soft-decision decoder - Wikipedia

    en.wikipedia.org/wiki/Soft-decision_decoder

    Download as PDF; Printable version; ... -decision decoder is a kind of decoding method – a class of algorithm used to decode data that has been encoded with an ...

  6. Reed–Muller code - Wikipedia

    en.wikipedia.org/wiki/Reed–Muller_code

    If there is no error, all those sums should be equals to the value of the coefficient searched. The algorithm consists here to take the majority of the answers as the value searched. 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.

  7. BCJR algorithm - Wikipedia

    en.wikipedia.org/wiki/BCJR_algorithm

    This algorithms or data structures -related article is a stub. You can help Wikipedia by expanding it.

  8. 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.

  9. Block code - Wikipedia

    en.wikipedia.org/wiki/Block_code

    Such limitations often take the form of bounds that relate different parameters of the block code to each other, such as its rate and its ability to detect and correct errors. Examples of block codes are Reed–Solomon codes , Hamming codes , Hadamard codes , Expander codes , Golay codes , Reed–Muller codes and Polar codes .