An Introduction to the Theory and Practice of Finite Fields
1st Edition
Published on 15. December 2017
Book
Hardback
250 pages
978-1-4822-3918-8 (ISBN)
Description
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.
More details
Language
English
Place of publication
Oakville
Canada
Target group
College/higher education
Professional mathematicians and students, professional electrical engineers and students, and Computer Scientists
Dimensions
Height: 229 mm
Width: 152 mm
ISBN-13
978-1-4822-3918-8 (9781482239188)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Person
Content
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.