Algebra for Cryptologists (Springer Undergraduate Texts in Mathematics and Technology)
暫譯: 密碼學家的代數(施普林格本科數學與技術系列)

Alko R. Meijer

  • 出版商: Springer
  • 出版日期: 2016-09-09
  • 售價: $2,810
  • 貴賓價: 9.5$2,670
  • 語言: 英文
  • 頁數: 301
  • 裝訂: Hardcover
  • ISBN: 3319303953
  • ISBN-13: 9783319303956
  • 相關分類: 地理資訊系統 Gis
  • 海外代購書籍(需單獨結帳)

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商品描述

This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice.

Modern cryptology has been described as the science of the integrity of information, covering all aspects like confidentiality, authenticity and non-repudiation and also including the protocols required for achieving these aims. In both theory and practice it requires notions and constructions from three major disciplines: computer science, electronic engineering and mathematics. Within mathematics, group theory, the theory of finite fields, and elementary number theory as well as some topics not normally covered in courses in algebra, such as the theory of Boolean functions and Shannon theory, are involved.

Although essentially self-contained, a degree of mathematical maturity on the part of the reader is assumed, corresponding to his or her background in computer science or engineering. Algebra for Cryptologists is a textbook for an introductory course in cryptography or an upper undergraduate course in algebra, or for self-study in preparation for postgraduate study in cryptology.

商品描述(中文翻譯)

這本教科書介紹了現代密碼學所基於的數學。它不僅涵蓋了公共金鑰密碼學,這是現代密碼學中引人注目的組成部分,還相當重視秘密金鑰密碼學,這是其在實踐中的主要工具。

現代密碼學被描述為信息完整性的科學,涵蓋了所有方面,如保密性、真實性和不可否認性,並包括實現這些目標所需的協議。在理論和實踐中,它需要來自三個主要學科的概念和構造:計算機科學、電子工程和數學。在數學中,涉及群論、有限域理論和初等數論,以及一些通常不在代數課程中涵蓋的主題,如布爾函數理論和香農理論。

雖然本書基本上是自足的,但假設讀者具備一定的數學成熟度,這與其在計算機科學或工程方面的背景相對應。《密碼學的代數》是一本用於密碼學入門課程或高年級本科代數課程的教科書,或用於自學以準備研究生學習密碼學。