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An Introduction to the Theory and Practice of Finite Fields

Scott A. Vanstone (Autor)

Buch | Hardcover

250 Seiten

2017
Apple Academic Press Inc. (Verlag)
978-1-4822-3918-8 (ISBN)

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Written by two renowned researchers, this graduate level textbook provides a thorough grounding in the field of cryptography. This topic is central to the graduate level curriculum in mathematics and electrical engineering since finite fields play a central role in the theory and practice of error correcting codes and cryptography. The authors are planning to make this book as comprehensive as possible in coverage in that it includes both theory and the more practical side of the topic. Unlike many of the other books on this topic the authors do not require a sophisticated background in linear algebra.

Introduction to the Theory of Finite Fields. Integers and Polynomials. Polynomial Extension Fields. Finite Field Elements. Polynomial Factoring. Polynomial Roots over Finite Fields. Existence and Uniqueness of Finite Fields. Subfields of Finite Fields. Maps on Finite Fields. Computation in Finite Fields. Normal Basis Representations of Finite Fields. The Discrete Logarithm Problem in Finite Fields. Introduction to Applications of Finite Fields. Coding Theory. Introduction to Cryptography. Elliptic Curve Cryptography. Accounting for Time. Renewable Resources: Fisheries and Forests. Transaction Costs and Institutional Choice. Issues and Prospects for Sustainable Resource Use.

Erscheint lt. Verlag	15.12.2017
Verlagsort	Oakville
Sprache	englisch
Maße	152 x 229 mm
Themenwelt	Informatik ► Theorie / Studium ► Kryptologie
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
	Technik ► Elektrotechnik / Energietechnik
ISBN-10	1-4822-3918-3 / 1482239183
ISBN-13	978-1-4822-3918-8 / 9781482239188
Zustand	Neuware