LEADER 03238nam 2200505 450 001 9910830196503321 005 20240219172743.0 010 $a1-119-52013-4 010 $a1-119-52027-4 010 $a1-119-52025-8 024 7 $a10.1002/9781119520252 035 $a(CKB)4100000010870921 035 $a(OCoLC)1203963505$z(OCoLC)1183722047$z(OCoLC)1183961924$z(OCoLC)1187217290 035 $a(MiAaPQ)EBC6286674 035 $a(CaBNVSL)mat09189948 035 $a(IDAMS)0b0000648d00f757 035 $a(IEEE)9189948 035 $a(EXLCZ)994100000010870921 100 $a20201028d2020 uy 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHadamard matrices $econstructions using number theory and algebra /$fJennifer Seberry, Mieko Yamada 210 1$aHoboken, New Jersey :$cWiley, John Wiley & Sons, Inc.,$d2020. 210 2$a[Piscataqay, New Jersey] :$cIEEE Xplore,$d[2020] 215 $a1 online resource 311 $a1-119-52024-X 311 08$aPrint version: Seberry, Jennifer, 1944- Hadamard matrices First edition. Hoboken, NJ : Wiley, 2020. 9781119520245 (DLC) 2020014449 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 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. 330 $a"This book, which is the update of a 1992 survey by the same authors, summarizes some known constructions of Hadamard Matrices that are based on algebraic and number theoretic methods. Hadamard matrices are of practical use in signal processing and design experiments among other applications. This book begins with basic definitions, and is followed by a chapter on Gauss sums, Jacobi sums and relative Gauss sums. Next, the authors discuss plug-in matrices, arrays, and sequences. M-structure is covered next, along with Menon Hadamard differences sets and regular Handmard matrices. The authors then discuss Paley difference sets, skew-Handmard matrices, and skew Handmard differences sets. Finally, the book concludes with a discussion of asymptotic existence of Handmard matrices and more on maximal determinant matrices"--$cProvided by publisher. 606 $aHadamard matrices 615 0$aHadamard matrices. 676 $a512.9434 700 $aSeberry$b Jennifer$f1944-$056913 702 $aYamada$b Mieko 801 0$bCaBNVSL 801 1$bCaBNVSL 801 2$bCaBNVSL 906 $aBOOK 912 $a9910830196503321 996 $aHadamard matrices$94040023 997 $aUNINA