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Springer Primality Testing and Integer Factorization in Public-Key Cryptography

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Description

This comprehensive second edition survey examines the theoretical foundations and practical implications of primality testing and integer factorisation in cryptographic systems. The book explores how the AKS algorithm solved the Primality Testing Problem in deterministic polynomial-time, contrasting this breakthrough with the ongoing challenges of the Integer Factorisation Problem, which remains computationally intractable. Understanding these mathematical challenges is essential for cryptographers and security professionals, as RSA and other widely-deployed public-key cryptosystems depend fundamentally on the difficulty of factorising large integers. This advanced text from Springer's Advances in Information Security series covers recent progress in both fields, offering both theoretical insight and practical relevance to modern cryptographic design and analysis.

Key Features

Covers the AKS algorithm and its deterministic polynomial-time solution to the Primality Testing Problem.

Examines the Integer Factorisation Problem and why it remains computationally intractable despite decades of research.

Analyses how RSA and other public-key cryptosystems rely on the hardness of integer factorisation for security.

Presents recent advances in primality testing techniques and their applications in cryptographic protocols.

Part of Springer's Advances in Information Security series, volume 11, offering academic depth for computer scientists.

Product Specifications

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

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