Theory and Applications of Higher-Dimensional Hadamard Matrices, Second Edition
暫譯: 高維哈達瑪矩陣的理論與應用(第二版)

Yang, Yi Xian, Niu, Xin Xin, Xu, Cheng Qing

  • 出版商: CRC
  • 出版日期: 2019-09-25
  • 售價: $3,090
  • 貴賓價: 9.5$2,936
  • 語言: 英文
  • 頁數: 440
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 036738440X
  • ISBN-13: 9780367384401
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

Drawing on the authors' use of the Hadamard-related theory in several successful engineering projects, Theory and Applications of Higher-Dimensional Hadamard Matrices, Second Edition explores the applications and dimensions of Hadamard matrices. This edition contains a new section on the applications of higher-dimensional Hadamard matrices to the areas of telecommunications and information security.





The first part of the book presents fast algorithms, updated constructions, existence results, and generalized forms for Walsh and Hadamard matrices. The second section smoothly transitions from two-dimensional cases to three-, four-, and six-dimensional Walsh and Hadamard matrices and transforms. In the third part, the authors discuss how the n-dimensional Hadamard matrices of order 2 are applied to feed-forward networking, stream ciphers, bent functions, and error correcting codes. They also cover the Boolean approach of Hadamard matrices. The final part provides examples of applications of Hadamard-related ideas to the design and analysis of one-dimensional sequences and two-dimensional arrays.





The theory and ideas of Hadamard matrices can be used in many areas of communications and information security. Through the research problems found in this book, readers can further explore the fascinating issues and applications of the theory of higher-dimensional Hadamard matrices.

商品描述(中文翻譯)

根據作者在幾個成功的工程專案中使用與 Hadamard 相關的理論,高維 Hadamard 矩陣的理論與應用(第二版) 探討了 Hadamard 矩陣的應用及其維度。本版新增了一個關於高維 Hadamard 矩陣在電信和資訊安全領域應用的部分。

本書的第一部分介紹了快速演算法、更新的構造、存在性結果以及 Walsh 和 Hadamard 矩陣的廣義形式。第二部分則順利地從二維案例過渡到三維、四維和六維的 Walsh 和 Hadamard 矩陣及其變換。在第三部分,作者討論了如何將階數為 2 的 n 維 Hadamard 矩陣應用於前饋網路、串流密碼、彎曲函數和錯誤更正碼。他們還涵蓋了 Hadamard 矩陣的布林方法。最後一部分提供了 Hadamard 相關概念在一維序列和二維陣列設計與分析中的應用範例。

Hadamard 矩陣的理論和概念可以應用於許多通信和資訊安全領域。透過本書中發現的研究問題,讀者可以進一步探索高維 Hadamard 矩陣理論的迷人議題和應用。

作者簡介

Yi Xian Yang is director and professor of the Information Security Center (ISC) at Beijing University of Posts and Telecommunications (BUPT). He is also director of the State Engineering Lab of Backup for Disaster Recovery. Dr. Yang received his Ph.D. in electrical engineering and communication systems from BU.



Xin Xin Niu and Cheng Qing Xu, Beijing University of Posts and Telecommunications

作者簡介(中文翻譯)

楊毅賢是北京郵電大學(BUPT)資訊安全中心(ISC)的主任及教授。他同時也是國家災難恢復備份工程實驗室的主任。楊博士在波士頓大學獲得電機工程及通信系統的博士學位。

牛欣欣徐承青,北京郵電大學