What does hamming(7,4) mean?

Definitions for hamming(7,4)
hamming(7,4)

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Wikidata

  1. Hamming(7,4)

    In coding theory, Hamming(7,4) is a linear error-correcting code that encodes 4 bits of data into 7 bits by adding 3 parity bits. It is a member of a larger family of Hamming codes, but the term Hamming code often refers to this specific code that Richard W. Hamming introduced in 1950. At the time, Hamming worked at Bell Telephone Laboratories and was frustrated with the erroneous punched card reader, which is why he started working on error-correcting codes. The Hamming code adds three additional check bits to every four data bits of the message. Hamming's (7,4) algorithm can correct any single-bit error, or detect all single-bit and two-bit errors. In other words, the minimal Hamming distance between any two correct codewords is 3, and received words can be correctly decoded if they are at distance at most one from the codeword that was transmitted by the sender. This means that for transmission medium situations where burst errors do not occur, Hamming's (7,4) code is effective.

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Numerology

  1. Chaldean Numerology

    The numerical value of hamming(7,4) in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of hamming(7,4) in Pythagorean Numerology is: 2


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"hamming(7,4)." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/hamming%287%2C4%29>.

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