Episode 495
Binary Golay code Tue, 2018Sep11 01:15 UTC Length  2:29
Direct Link Welcome to random Wiki of the Day where we read the summary of a random Wikipedia page every day.
The random article for Tuesday, 11 September 2018 is Binary Golay code.
In mathematics and electronics engineering, a binary Golay code is a type of linear errorcorrecting code used in digital communications. The binary Golay code, along with the ternary Golay code, has a particularly deep and interesting connection to the theory of finite sporadic groups in mathematics. These codes are named in honor of Marcel J. E. Golay whose 1949 paper introducing them has been called, by E. R. Berlekamp, the "best single published page" in coding theory.There are two closely related binary Golay codes. The extended binary Golay code, G24 (sometimes just called the "Golay code" in finite group theory) encodes 12 bits of data in a 24bit word in such a way that any 3bit errors can be corrected or any 7bit errors can be detected.
The other, the perfect binary Golay code, G23, has codewords of length 23 and is obtained from the extended binary Golay code by deleting one coordinate position (conversely, the extended binary Golay code is obtained from the perfect binary Golay code by adding a parity bit). In standard code notation the codes have parameters [24, 12, 8] and [23, 12, 7], corresponding to the length of the codewords, the dimension of the code, and the minimum Hamming distance between two codewords, respectively.
This recording reflects the Wikipedia text as of 01:15 UTC on Tuesday, 11 September 2018.
For the full current version of the article, go to http://en.wikipedia.org/wiki/Binary_Golay_code.
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