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  2. 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 ()).

  3. 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.

  4. Verhoeff algorithm - Wikipedia

    en.wikipedia.org/wiki/Verhoeff_algorithm

    The analysis broke the errors down into a number of categories: first, by how many digits are in error; for those with two digits in error, there are transpositions (ab → ba), twins (aa → 'bb'), jump transpositions (abc → cba), phonetic (1a → a0), and jump twins (aba → cbc). Additionally there are omitted and added digits.

  5. Check digit - Wikipedia

    en.wikipedia.org/wiki/Check_digit

    The final digit of a Universal Product Code, International Article Number, Global Location Number or Global Trade Item Number is a check digit computed as follows: [3] [4]. Add the digits in the odd-numbered positions from the left (first, third, fifth, etc.—not including the check digit) together and multiply by three.

  6. Category:Error detection and correction - Wikipedia

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

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Help; Learn to edit; Community portal; Recent changes; Upload file

  7. Block code - Wikipedia

    en.wikipedia.org/wiki/Block_code

    As mentioned above, there are a vast number of error-correcting codes that are actually block codes. The first error-correcting code was the Hamming(7,4) code, developed by Richard W. Hamming in 1950. This code transforms a message consisting of 4 bits into a codeword of 7 bits by adding 3 parity bits. Hence this code is a block code.

  8. Introduction to the Theory of Error-Correcting Codes - Wikipedia

    en.wikipedia.org/wiki/Introduction_to_the_Theory...

    This book is mainly centered around algebraic and combinatorial techniques for designing and using error-correcting linear block codes. [ 1 ] [ 3 ] [ 9 ] It differs from previous works in this area in its reduction of each result to its mathematical foundations, and its clear exposition of the results follow from these foundations.

  9. 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 ...