翻訳と辞書 Words near each other ・ Genesee Falls, New York ・ Genesee Generating Station ・ Genesee Group ・ Genesee Hospital ・ Genesee Intermediate School District ・ Generator (Bad Religion album) ・ Generator (category theory) ・ Generator (circuit theory) ・ Generator (computer programming) ・ Generator (Foo Fighters song) ・ Generator (mathematics) ・ Generator (The Holloways song) ・ Generator function ・ Generator Gawl ・ Generator interlock kit ・ Generator matrix ・ Generator Rex ・ Generator Sound Art ・ Generator Tour ・ Generator X (band) ・ Generator zla ・ Generatrix ・ Generał ・ Generał broni ・ Generał brygady ・ Generał Nil ・ Generał. Zamach na Gibraltarze ・ Generałowo ・ GeneRec ・ GeneReviews Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Generator matrix ： ウィキペディア英語版 Generator matrix In coding theory, a generator matrix is a matrix whose rows form a basis for a linear code. The codewords are all of the linear combinations of the rows of this matrix, that is, the linear code is the row space of its generator matrix. ==Terminology== If ''G'' is a matrix, it generates the codewords of a linear code ''C'' by, :w = s ''G'', where w is a codeword of the linear code ''C'', and s is any vector. A generator matrix for a linear $(k,\; d)\_q$-code has format $k\; \backslash times\; n$, where ''n'' is the length of a codeword, ''k'' is the number of information bits (the dimension of ''C'' as a vector subspace), ''d'' is the minimum distance of the code, and ''q'' is size of the finite field, that is, the number of symbols in the alphabet (thus, ''q'' = 2 indicates a binary code, etc.). The number of redundant bits is denoted by ''r = n - k''. The ''standard'' form for a generator matrix is, : $G\; =\; \backslash begin\; I\_k\; |\; P\; \backslash end$, where $I\_k$ is the ''k''×''k'' identity matrix and P is a ''k''×''r'' matrix. When the generator matrix is in standard form, the code ''C'' is systematic in its first ''k'' coordinate positions. A generator matrix can be used to construct the parity check matrix for a code (and vice versa). If the generator matrix ''G'' is in standard form, $G\; =\; \backslash begin\; I\_k\; |\; P\; \backslash end$, then the parity check matrix for ''C'' is : $H\; =\; \backslash begin\; -P^\; |\; I\_\; \backslash end$, where $P^$ is the transpose of the matrix $P$. This is a consequence of the fact that a parity check matrix of $C$ is a generator matrix of the dual code $C^$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Generator matrix」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.