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  2. Hamming code - Wikipedia

    en.wikipedia.org/wiki/Hamming_code

    This triple repetition code is a Hamming code with m = 2, since there are two parity bits, and 2 22 − 1 = 1 data bit. Such codes cannot correctly repair all errors, however. In our example, if the channel flips two bits and the receiver gets 001, the system will detect the error, but conclude that the original bit is 0, which is incorrect.

  3. Hamming (7,4) - Wikipedia

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

    Since the source is only 4 bits then there are only 16 possible transmitted words. Included is the eight-bit value if an extra parity bit is used (see Hamming(7,4) code with an additional parity bit). (The data bits are shown in blue; the parity bits are shown in red; and the extra parity bit shown in green.)

  4. File:Hamming(7,4) example 0010 with extra parity.svg

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

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  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 parity bit is a bit that is added to a group of source bits to ensure that the number of set bits (i.e., bits with value 1) in the outcome is even or odd. It is a very simple scheme that can be used to detect single or any other odd number (i.e., three, five, etc.) of errors in the output.

  7. Block code - Wikipedia

    en.wikipedia.org/wiki/Block_code

    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. It turns out that it is also a linear code and that it has distance 3. In the shorthand notation above, this means that the Hamming(7,4) code is a [,,] code.

  8. File:Hamming(7,4) example 1100 with extra parity.svg

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

    English: Example Hamming(7,4) code of the data 1100 into 0111100 and extra parity bit 0. The parity of the red, green, blue, and yellow circles are all even (red, green, & blue have 2 1's; and yellow has 4 1's).

  9. Parity learning - Wikipedia

    en.wikipedia.org/wiki/Parity_learning

    Parity learning is a problem in machine learning. An algorithm that solves this problem must find a function ƒ, given some samples (x, ƒ(x)) and the assurance that ƒ computes the parity of bits at some fixed locations. The samples are generated using some distribution over the input.