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\def\makelabel##1{\upshape ##1}}% } {\end{list}\end{raggedright}} \newenvironment{specHead}[2]% {\vspace{20pt}\hrule\vspace{10pt}% \phantomsection\label{#1}\markright{#2}% \pdfbookmark[2]{#2}{#1}% \hspace{-0.75in}{\bfseries\fontsize{16pt}{18pt}\selectfont#2}% }{} \def\TheFullDate{2011-04-29 (revised: 29 April 2011)} \def\TheID{\makeatother } \def\TheDate{2011-04-29} \title{Construction Of Hadamard Matrices From Certain Frobenius Groups} \author{}\makeatletter \makeatletter \newcommand*{\cleartoleftpage}{% \clearpage \if@twoside \ifodd\c@page \hbox{}\newpage \if@twocolumn \hbox{}\newpage \fi \fi \fi } \makeatother \makeatletter \thispagestyle{empty} \markright{\@title}\markboth{\@title}{\@author} \renewcommand\small{\@setfontsize\small{9pt}{11pt}\abovedisplayskip 8.5\p@ plus3\p@ minus4\p@ \belowdisplayskip \abovedisplayskip \abovedisplayshortskip \z@ plus2\p@ \belowdisplayshortskip 4\p@ plus2\p@ minus2\p@ \def\@listi{\leftmargin\leftmargini \topsep 2\p@ plus1\p@ minus1\p@ \parsep 2\p@ 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\textcolor{GJBlue}{\large\bfseries\abstractname\space} }{% \vskip8pt \textcolor{GJMediumGrey}{\rule{\textwidth}{2pt}} \vskip16pt } \usepackage[absolute,overlay]{textpos} \makeatother \usepackage{lineno} \linenumbers \begin{document} \author[1]{ M.K.Singh} \author[2]{ P.K.Manjhi} \affil[1]{ Deprtment of Mathematics Ranchi University Ranchi} \renewcommand\Authands{ and } \date{\small \em Received: 20 March 2011 Accepted: 19 April 2011 Published: 29 April 2011} \maketitle \begin{abstract} Hadamard matrices have many application in computer science and communication technology. It is shown that two classical methods of constructing Hadamard matrices viz., those of Paley?s and Williamson?s can be unified and Paley?s and Williamson?s Hadamard matrices can be constructed by a uniform method i.e. producing an association scheme or coherent configuration by Frobenius group action and then producing Hadamard matrices by taking suitable (1-1) â??" linear combinations of adjacency matrices of the coherent configuration. \end{abstract} \keywords{adamard matrix, Coherent Configuration. Association Scheme and Frobenius group.} \begin{textblock*}{18cm}(1cm,1cm) % {block width} (coords) \textcolor{GJBlue}{\LARGE Global Journals \LaTeX\ JournalKaleidoscope\texttrademark} \end{textblock*} \begin{textblock*}{18cm}(1.4cm,1.5cm) % {block width} (coords) \textcolor{GJBlue}{\footnotesize \\ Artificial Intelligence formulated this projection for compatibility purposes from the original article published at Global Journals. However, this technology is currently in beta. \emph{Therefore, kindly ignore odd layouts, missed formulae, text, tables, or figures.}} \end{textblock*} \let\tabcellsep& \section[{Introduction}]{Introduction}\par We begin with following definitions. a) Hadamard matrix (H-matrix) HH T = ml m \hyperref[b0]{[1]} b) Coherent configuration (CC)Let X = \{1,2,3,?.n\}, and R = \{R 1 ,R 2 ?,R r \} be a collection of binary relations on X such that.\par (cc1) R i ? R j = ? for 1? i