Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Seberry, Jennifer R. (1944-....). Auteur du texte Yamada, Mieko
Titre(s) : Hadamard matrices [Texte électronique] : constructions using number theory and algebra / Jennifer Seberry,.... Mieko Yamada,....
Publication : Hoboken (N.J.) : Wiley, copyright 2020
Description matérielle : 1 ressource dématérialisée
Note(s) : Bibliogr. p. 303-312. 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"La pagination de l'édition imprimée correspondante est de : XXX-321 p.
Sujet(s) : Matrices d'Hadamard
Indice(s) Dewey : 511.6 (23e éd.) = Analyse combinatoire
Identifiants, prix et caractéristiques : ISBN 9781119520139. - ISBN 1119520134. - ISBN 1119520274. - ISBN 9781119520276. - ISBN 9781119520252. - ISBN 1119520258. - ISBN 9781119520245 (erroné). - ISBN 111952024X (erroné)
Identifiant de la notice : ark:/12148/cb46832113d
Notice n° : FRBNF46832113 (notice reprise d'un réservoir extérieur)
Table des matières : 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.