03238nam 2200505 450 991055514860332120221206181800.01-119-52013-41-119-52027-41-119-52025-810.1002/9781119520252(CKB)4100000010870921(OCoLC)1203963505(OCoLC)1183722047(OCoLC)1183961924(OCoLC)1187217290(MiAaPQ)EBC6286674(CaBNVSL)mat09189948(IDAMS)0b0000648d00f757(IEEE)9189948(EXLCZ)99410000001087092120201028d2020 uy engurcnu||||||||txtrdacontentcrdamediacrrdacarrierHadamard matrices constructions using number theory and algebra /Jennifer Seberry, Mieko YamadaHoboken, New Jersey :Wiley, John Wiley & Sons, Inc.,2020.[Piscataqay, New Jersey] :IEEE Xplore,[2020]1 online resource1-119-52024-X Print version: Seberry, Jennifer, 1944- Hadamard matrices First edition. Hoboken, NJ : Wiley, 2020. 9781119520245 (DLC) 2020014449 Includes bibliographical references and index.Introduction -- Chapter 1 Basic Definitions -- Chapter 2 Gauss Sums, Jacobi Sums, and Relative Gauss Sums -- Chapter 3 Plug-In Matrices -- Chapter 4 Arrays: Matrices to Plug-Into -- Chapter 5 Sequences -- Chapter 6 M-structures -- Chapter 7 Menon Hadamard Difference Sets and Regular Hadamard Matrices -- Chapter 8 Paley Hadamard Difference Sets and Paley Type Partial Difference Sets -- Chapter 9 Skew Hadamard, Amicable, and Symmetric Matrices -- Chapter 10 Skew Hadamard Difference Sets -- Chapter 11 Asymptotic Existence of Hadamard Matrices -- Chapter 12 More on Maximal Determinant Matrices -- Appendix A Hadamard Matrices -- Appendix B List of sds from Cyclotomy -- Appendix C Further Research Questions -- References -- Index."This book, which is the update of a 1992 survey by the same authors, summarizes some known constructions of Hadamard Matrices that are based on algebraic and number theoretic methods. Hadamard matrices are of practical use in signal processing and design experiments among other applications. This book begins with basic definitions, and is followed by a chapter on Gauss sums, Jacobi sums and relative Gauss sums. Next, the authors discuss plug-in matrices, arrays, and sequences. M-structure is covered next, along with Menon Hadamard differences sets and regular Handmard matrices. The authors then discuss Paley difference sets, skew-Handmard matrices, and skew Handmard differences sets. Finally, the book concludes with a discussion of asymptotic existence of Handmard matrices and more on maximal determinant matrices"--Provided by publisher.Hadamard matricesHadamard matrices.512.9434Seberry Jennifer1944-56913Yamada MiekoCaBNVSLCaBNVSLCaBNVSLBOOK9910555148603321Hadamard matrices2816286UNINA