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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク cyclic code ： ウィキペディア英語版 cyclic code In coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code. They are error-correcting codes that have algebraic properties that are convenient for efficient error detection and correction. ==Definition== Let $\backslash mathcal$ be a linear code over a finite field $GF(q)$ of block length ''n''. $\backslash mathcal$ is called a cyclic code if, for every codeword ''c''=(''c''1,...,''c''n) from ''C'', the word (''c''n,''c''1,...,''c''n-1) in $GF(q)^n$ obtained by a cyclic right shift of components is again a codeword. Because one cyclic right shift is equal to ''n'' − 1 cyclic left shifts, a cyclic code may also be defined via cyclic left shifts. Therefore the linear code $\backslash mathcal$ is cyclic precisely when it is invariant under all cyclic shifts. Cyclic Codes have some additional structural constraint on the codes. They are based on Galois fields and because of their structural properties they are very useful for error controls. Their structure is strongly related to Galois fields because of which the encoding and decoding algorithms for cyclic codes are computationally efficient. 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「cyclic code」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.