£107.43

Springer Primality Testing and Integer Factorization Book

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Description

Explore the fundamental differences between the Primality Testing Problem (PTP) and the Integer Factorization Problem (IFP) in this specialized academic text. While the AKS (Agrawal-Kayal-Saxena) algorithm has proven that primality testing is solvable in deterministic polynomial-time (P), the Integer Factorization Problem remains unsolved in (P), with no current polynomial-time algorithm available. This Second Edition provides a comprehensive survey of recent progress regarding these mathematical challenges. It examines how the computational intractability of IFP serves as the foundation for many practical public-key cryptosystems and protocols, most notably RSA (Rivest-Shamir-Adleman). For students, researchers, and professionals in computer science and information systems, this volume offers a deep look into the security mechanisms that protect modern digital communication.

Key Features

Covers the AKS (Agrawal-Kayal-Saxena) algorithm and its role in solving the Primality Testing Problem in deterministic polynomial-time.

Examines the current status of the Integer Factorization Problem and why it remains unsolved in polynomial-time.

Provides a detailed survey of recent progress in both primality testing and integer factorization research.

Analyzes the relationship between computational intractability and the security of public-key cryptosystems like RSA.

Part of the Advances in Information Security series, offering academic depth for computer science study.

Product Specifications

Format
Paperback
Domain
Amazon UK
Release Date
29 November 2010
Listed Since
14 June 2010

Barcode

No barcode data available

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