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

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https://doi.org/10.1007/978-3-319-59032-5Combinatorics; Hurwitz-Radon algebras; Hadamard matrices; Mathematical computation; Sequences; matrix the

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Jennifer SeberryProvides a unique overview of the subject.Provides insights into some of the current communications coding theories.Can be considered as the foundation of a completely new area of discrete mathematics

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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..

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Orthogonal Designs,An orthogonal design of order ., type ., denoted, ., . positive integers, is an . matrix ., with entries from . (the . commuting indeterminates) satisfying.

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Some Algebraic and Combinatorial Non-existence Results,In this chapter we intend to explain some easily obtained non-existence theorems for orthogonal designs. Many of these results will be generalized in later chapters, but we feel that these simpler special cases will give the reader an idea as to how the subject developed and what sorts of propositions might be expected.

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