Hadamard Matrices: Constructions using Number Theory and Linear Algebra

Hadamard Matrices: Constructions using Number Theory and Algebra is a comprehensive resource that covers basic definitions, advanced topics, and applications of Hadamard matrices. It is useful for graduate courses in combinatorics and as a reference for researchers.

Format: Hardback
Length: 352 pages
Publication date: 25 September 2020
Publisher: John Wiley and Sons Ltd

The book provides a comprehensive overview of Hadamard matrices,including their construction,properties,and applications. It covers topics such as Gauss sums,Jacobi sums,and relative Gauss sums,as well as cyclotomic numbers,plug-in matrices,arrays,sequences,and M-structure. Additionally,the book delves into Galois rings,Menon Hadamard differences sets,Paley difference sets,Paley type partial difference sets,symmetric Hadamard matrices,skew Hadamard matrices,and amicable Hadamard matrices. Furthermore,it explores the asymptotic existence of Hadamard matrices,maximal determinant matrices,embeddability of Hadamard matrices,and the growth problem for Hadamard matrices. This book is an invaluable resource for graduate courses in combinatorics,as well as for researchers studying Hadamard matrices. Its comprehensive coverage and detailed explanations make it an essential tool for anyone seeking to gain a deeper understanding of this fascinating subject matter.

Hadamard Matrices: Constructions using Number Theory and Algebra

Hadamard Matrices: Constructions using Number Theory and Algebra provides students with a comprehensive exploration of the fundamental definitions and advanced topics related to Hadamard Matrices. This resource offers a detailed discussion of various aspects of Hadamard Matrices, including:

Gauss sums, Jacobi sums, and relative Gauss sums

Cyclotomic numbers

Plug-in matrices, arrays, sequences, and M-structure

Galois rings and Menon Hadamard differences sets

Paley difference sets and Paley type partial difference sets

Symmetric Hadamard matrices, skew Hadamard matrices, and amicable Hadamard matrices

A discussion of asymptotic existence of Hadamard matrices

Maximal determinant matrices, embeddability of Hadamard matrices, and growth problem for Hadamard matrices

This book serves as an invaluable textbook for graduate courses in combinatorics, offering a comprehensive and detailed account of the subject matter. It is also a valuable reference for researchers engaged in studying Hadamard matrices, as it provides a comprehensive overview of the construction, properties, and applications of these matrices.

With its extensive coverage and precise explanations, Hadamard Matrices: Constructions using Number Theory and Algebra is an essential tool for anyone seeking to gain a deeper understanding of this fascinating subject matter. Whether you are a student or a researcher, this book will provide you with the knowledge and insights necessary to excel in your studies and research endeavors.

Weight: 990g
Dimension: 212 x 263 x 26 (mm)
ISBN-13: 9781119520245