enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Hamming (7,4) - Wikipedia

    en.wikipedia.org/wiki/Hamming(7,4)

    It is not difficult to show that only single bit errors can be corrected using this scheme. Alternatively, Hamming codes can be used to detect single and double bit errors, by merely noting that the product of H is nonzero whenever errors have occurred. In the adjacent diagram, bits 4 and 5 were flipped.

  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. Hamming code - Wikipedia

    en.wikipedia.org/wiki/Hamming_code

    The main idea is to choose the error-correcting bits such that the index-XOR (the XOR of all the bit positions containing a 1) is 0. We use positions 1, 10, 100, etc. (in binary) as the error-correcting bits, which guarantees it is possible to set the error-correcting bits so that the index-XOR of the whole message is 0.

  5. Category:Error detection and correction - Wikipedia

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

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us

  6. List decoding - Wikipedia

    en.wikipedia.org/wiki/List_decoding

    In fact, the term "list-decoding capacity" should actually be read as the capacity of an adversarial channel under list decoding. Also, the proof for list-decoding capacity is an important result that pin points the optimal trade-off between rate of a code and the fraction of errors that can be corrected under list decoding.

  7. Block code - Wikipedia

    en.wikipedia.org/wiki/Block_code

    The block length of a block code is the number of symbols in a block. Hence, the elements of are strings of length and correspond to blocks that may be received by the receiver.

  8. Hamming distance - Wikipedia

    en.wikipedia.org/wiki/Hamming_distance

    For a fixed length n, the Hamming distance is a metric on the set of the words of length n (also known as a Hamming space), as it fulfills the conditions of non-negativity, symmetry, the Hamming distance of two words is 0 if and only if the two words are identical, and it satisfies the triangle inequality as well: [2] Indeed, if we fix three words a, b and c, then whenever there is a ...

  9. Detection error tradeoff - Wikipedia

    en.wikipedia.org/wiki/Detection_error_tradeoff

    The normal deviate mapping (or normal quantile function, or inverse normal cumulative distribution) is given by the probit function, so that the horizontal axis is x = probit(P fa) and the vertical is y = probit(P fr), where P fa and P fr are the false-accept and false-reject rates.