Hadamard Matrices Constructions using Number Theory and Algebra
Up-to-date resource on Hadamard matrices -- Hadamard Matrices: Constructions using Number Theory and Algebra provides students with a discussion of the basic definitions used for Hadamard Matrices as well as more advanced topics in the subject, including: -- Gauss sums, Jacobi sums and relative Gaus...
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| Format: | eBook |
| Language: | English |
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Hoboken, NJ
Wiley
2020, ©2020
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| Collection: | Wiley Online Books - Collection details see MPG.ReNa |
| Summary: | Up-to-date resource on Hadamard matrices -- Hadamard Matrices: Constructions using Number Theory and Algebra provides students with a discussion of the basic definitions used for Hadamard Matrices as well as more advanced topics in the subject, 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 -- The book can be used as a textbook for graduate courses in combinatorics, or as a reference for researchers studying Hadamard matrices. -- Utilized in the fields of signal processing and design experiments, Hadamard matrices have been used for 150 years, and remain practical today. Hadamard Matrices 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. |
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| ISBN: | 9781119520252 9781119520139 |