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Number-theoretic Algorithms in Cryptography - AMS Book

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Description

Explore the rapidly developing field of algorithmic number theory with this specialized text from the American Mathematical Society. This volume covers the mathematical principles and practical applications essential to computer science and cryptography. Readers gain deep insights into the specific algorithms that secure modern digital communication. The content focuses on primality testing, factorization methods for integers and polynomials, and the application of elliptic curve theory. It also addresses the computation of discrete logarithms, solving linear equations over finite fields, and performing arithmetic operations on large numbers. This book serves as a detailed resource for students and professionals studying the mathematical foundations of cryptographic systems.

Key Features

Covers essential algorithms for primality testing and integer factorization used in modern cryptography.

Provides detailed information on the application of elliptic curve theory within number theory.

Explains methods for the computation of discrete logarithms and solving linear equations over finite fields.

Includes technical instruction on performing arithmetic operations on large numbers.

Published by the American Mathematical Society as part of the Translations of Mathematical Monographs series.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
11 January 2007
Listed Since
22 January 2007

Barcode

No barcode data available

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