binary golay code造句
例句與造句
- The binary Golay code, independently developed in 1949, is an application in coding theory.
- The codewords in the perfect ( non-extended ) binary Golay code are of size 23.
- So the extended binary Golay code gives a unique 8 element subset for each 5 element subset.
- The automorphism group of the perfect binary Golay code, " G " 23, is the Mathieu group M _ { 23 }.
- Some extended binary Golay code and four more of the sporadic simple groups arise as various types of stabilizer subgroup of M _ { 24 }.
- It's difficult to find binary golay code in a sentence. 用binary golay code造句挺難的
- The codewords of the extended binary Golay code have a length of 24 bits and have weights 0, 8, 12, 16, or 24.
- The ternary Golay code, binary Golay code and Leech lattice give very efficient 24-dimensional spherical codes of 729, 4096 and 196560 points, respectively.
- In the complex construction of the Leech lattice, the binary Golay code is replaced with the ternary Golay code, and the Mathieu group " M " 12.
- There is a natural connection between the Mathieu groups and the larger Conway groups, because the binary Golay code and the Leech lattice both lie in spaces of dimension 24.
- The automorphism group of the extended binary Golay code is the Mathieu group M _ { 24 }, of order 2 10 * 3 3 * 5 * 7 * 11 * 23.
- There is a natural connection between the Mathieu groups and the larger Conway groups, because the Leech lattice was constructed on the binary Golay code and in fact both lie in spaces of dimension 24.
- It can also be constructed by using three copies of the E8 lattice, in the same way that the binary Golay code can be constructed using three copies of the extended Hamming code, H 8.
- The octads are the blocks of an S ( 5, 8, 24 ) Steiner system and the binary Golay code is the vector space over field F 2 spanned by the octads of the Steiner system.
- The group M 24 also is the permutation automorphism group of the binary Golay code " W ", i . e ., the group of permutations of coordinates mapping " W " to itself.
- and for each fixed residue class modulo 4, the 24 bit word, whose 1s correspond to the coordinates " i " such that " a " " i " belongs to this residue class, is a word in the binary Golay code.
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