Titlebook: Orthogonal Designs; Hadamard Matrices, Q Jennifer Seberry Book 2017 Springer International Publishing AG 2017 Combinatorics.Hurwitz-Radon a

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Techniques,We remarked in Section 4.12 that Williamson [243] used (implicitly) the theory of cyclotomy to construct Hadamard matrices of order 148 and 172.

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Existence of Hadamard Matrices and Asymptotic Existence Results for Orthogonal Designs,Heretofore we have studied extensively the Hadamard conjecture..“There exists an Hadamard matrix of order 1, 2 and 4. for every positive integer ..”

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Complex, Quaternion and Non Square Orthogonal Designs,A detailed study of complex, quaternion and non-square orthogonal designs is beyond the scope of this book. We give just a small taste to highlight the deep and practical nature of these almost unstudied algebraic structures.

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Algebraic Theory of Orthogonal Designs,y, be pursued further. However, these procedures quickly become inadequate. To properly describe the solution to the “algebraic problem of orthogonal designs”, it is necessary to discuss the theory of quadratic and bilinear forms. Only then can the “algebraic problem” be put in proper perspective.

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systems for more efficient mobile communications. Starting with basic theory, this book develops the algebra and combinatorics to create new communications modes. Intended primarily for researchers, it is also useful for graduate students wanting to understand some of the current communications coding theories..978-3-319-86535-5978-3-319-59032-5

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foundation of a completely new area of discrete mathematics.Orthogonal designs have proved fundamental to constructing code division multiple antenna systems for more efficient mobile communications. Starting with basic theory, this book develops the algebra and combinatorics to create new communic

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Book 2017with basic theory, this book develops the algebra and combinatorics to create new communications modes. Intended primarily for researchers, it is also useful for graduate students wanting to understand some of the current communications coding theories..