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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 Johnson scheme ： ウィキペディア英語版 Johnson scheme In mathematics, the Johnson scheme, named after Selmer M. Johnson, is also known as the triangular association scheme. It consists of the set of all binary vectors ''X'' of length ''ℓ'' and weight ''n'', such that $v=\backslash left|X\backslash right|=\backslash binom$.〔P. Delsarte and V. I. Levenshtein, “Association schemes and coding theory,“ ''IEEE Trans. Inform. Theory'', vol. 44, no. 6, pp. 2477–2504, 1998.〕〔P. Camion, "Codes and Association Schemes: Basic Properties of Association Schemes Relevant to Coding," in ''Handbook of Coding Theory'', V. S. Pless and W. C. Huffman, Eds., Elsevier, The Netherlands, 1998.〕〔F. J. MacWilliams and N. J. A. Sloane, ''The Theory of Error-Correcting Codes'', Elsevier, New York, 1978.〕 Two vectors ''x'', ''y'' ∈ ''X'' are called ''i''th associates if dist(''x'', ''y'') = 2''i'' for ''i'' = 0, 1, ..., ''n''. The eigenvalues are given by : $$ p_\left(k\right)=E_\left(k\right), : $$ q_\left(i\right)=\frac}E_\left(k\right), where : $$ \mu_=\frac\binom, and ''E''''k''(''x'') is an Eberlein polynomial defined by : $E\_\backslash left(x\backslash right)=\backslash sum\_^(-1)^\backslash binom\; \backslash binom\backslash binom,\backslash qquad\; k=0,\backslash ldots,n.$ ==References== 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「Johnson scheme」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.