Hadamard Matrices

8,128.00

Constructions using Number Theory and Linear Algebra

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ISBN: 9781119520245 Category:

<p><b>Up-to-date resource on Hadamard matrices</b></p> <p><i>Hadamard Matrices: Constructions using Number Theory and Algebra </i>provides students with a discussion of the basic definitions used for Hadamard Matrices as well as more advanced topics in the subject, including:</p> <ul> <li>Gauss sums, Jacobi sums and relative Gauss sums</li> <li>Cyclotomic numbers</li> <li>Plug-in matrices, arrays, sequences and M-structure</li> <li>Galois rings and Menon Hadamard differences sets</li> <li>Paley difference sets and Paley type partial difference sets</li> <li>Symmetric Hadamard matrices, skew Hadamard matrices and amicable Hadamard matrices</li> <li>A discussion of asymptotic existence of Hadamard matrices</li> <li>Maximal determinant matrices, embeddability of Hadamard matrices and growth problem for Hadamard matrices</li> </ul> <p>The book can be used as a textbook for graduate courses in combinatorics, or as a reference for researchers studying Hadamard matrices.</p> <p>Utilized in the fields of signal processing and design experiments, Hadamard matrices have been used for 150 years, and remain practical today. <i>Hadamard Matrices </i>combines a thorough discussion of the basic concepts underlying the subject matter with more advanced applications that will be of interest to experts in the area.</p>