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- Binary_Golay_code abstract "In mathematics and electronics engineering, a binary Golay code is a type of error-correcting 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.There are two closely related binary Golay codes. The extended binary Golay code (sometimes just called the "Golay code" in finite group theory) encodes 12 bits of data in a 24-bit word in such a way that any 3-bit errors can be corrected or any 7-bit errors can be detected. The other, the perfect binary Golay code, 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.".
- Binary_Golay_code thumbnail BinaryGolayCode.svg?width=300.
- Binary_Golay_code wikiPageExternalLink 656783.pdf.
- Binary_Golay_code wikiPageID "344971".
- Binary_Golay_code wikiPageRevisionID "599215827".
- Binary_Golay_code alphabetSize "2".
- Binary_Golay_code blockLength "23".
- Binary_Golay_code blockLength "24".
- Binary_Golay_code distance "7".
- Binary_Golay_code distance "8".
- Binary_Golay_code hasPhotoCollection Binary_Golay_code.
- Binary_Golay_code imageCaption "Its generator matrix".
- Binary_Golay_code messageLength "12".
- Binary_Golay_code name "Extended binary Golay code".
- Binary_Golay_code name "Perfect binary Golay code".
- Binary_Golay_code namesake Marcel_J._E._Golay.
- Binary_Golay_code notation "-code".
- Binary_Golay_code rate "12".
- Binary_Golay_code type Block_code.
- Binary_Golay_code subject Category:Error_detection_and_correction.
- Binary_Golay_code type Abstraction100002137.
- Binary_Golay_code type Code106667317.
- Binary_Golay_code type Communication100033020.
- Binary_Golay_code type WrittenCommunication106349220.
- Binary_Golay_code comment "In mathematics and electronics engineering, a binary Golay code is a type of error-correcting 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.There are two closely related binary Golay codes.".
- Binary_Golay_code label "Binaire Golay-code".
- Binary_Golay_code label "Binary Golay code".
- Binary_Golay_code label "Code de Golay".
- Binary_Golay_code label "Código Binario de Golay".
- Binary_Golay_code label "Código Binário de Golay".
- Binary_Golay_code label "Golay-Code".
- Binary_Golay_code label "Двоичный код Голея".
- Binary_Golay_code label "ゴレイ符号".
- Binary_Golay_code sameAs Golay-Code.
- Binary_Golay_code sameAs Código_Binario_de_Golay.
- Binary_Golay_code sameAs Code_de_Golay.
- Binary_Golay_code sameAs ゴレイ符号.
- Binary_Golay_code sameAs Binaire_Golay-code.
- Binary_Golay_code sameAs Código_Binário_de_Golay.
- Binary_Golay_code sameAs m.01yls4.
- Binary_Golay_code sameAs Q1534522.
- Binary_Golay_code sameAs Q1534522.
- Binary_Golay_code sameAs Binary_Golay_code.
- Binary_Golay_code wasDerivedFrom Binary_Golay_code?oldid=599215827.
- Binary_Golay_code depiction BinaryGolayCode.svg.
- Binary_Golay_code isPrimaryTopicOf Binary_Golay_code.
