Integer Algorithms In Cryptology And Information Assurance


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Integer Algorithms In Cryptology And Information Assurance


Integer Algorithms In Cryptology And Information Assurance

Author: Boris S Verkhovsky

language: en

Publisher: World Scientific

Release Date: 2014-09-05


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Integer Algorithms in Cryptology and Information Assurance is a collection of the author's own innovative approaches in algorithms and protocols for secret and reliable communication. It concentrates on the “what” and “how” behind implementing the proposed cryptographic algorithms rather than on formal proofs of “why” these algorithms work.The book consists of five parts (in 28 chapters) and describes the author's research results in:This text contains innovative cryptographic algorithms; computationally efficient algorithms for information assurance; new methods to solve the classical problem of integer factorization, which plays a key role in cryptanalysis; and numerous illustrative examples and tables that facilitate the understanding of the proposed algorithms.The fundamental ideas contained within are not based on temporary advances in technology, which might become obsolete in several years. The problems addressed in the book have their own intrinsic computational complexities, and the ideas and methods described in the book will remain important for years to come.

Primality Testing and Integer Factorization in Public-Key Cryptography


Primality Testing and Integer Factorization in Public-Key Cryptography

Author: Song Y. Yan

language: en

Publisher: Springer Science & Business Media

Release Date: 2003-11-30


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Primality Testing and Integer Factorization in Public-Key Cryptography introduces various algorithms for primality testing and integer factorization, with their applications in public-key cryptography and information security. More specifically, this book explores basic concepts and results in number theory in Chapter 1. Chapter 2 discusses various algorithms for primality testing and prime number generation, with an emphasis on the Miller-Rabin probabilistic test, the Goldwasser-Kilian and Atkin-Morain elliptic curve tests, and the Agrawal-Kayal-Saxena deterministic test for primality. Chapter 3 introduces various algorithms, particularly the Elliptic Curve Method (ECM), the Quadratic Sieve (QS) and the Number Field Sieve (NFS) for integer factorization. This chapter also discusses some other computational problems that are related to factoring, such as the square root problem, the discrete logarithm problem and the quadratic residuosity problem.

Algorithmic Strategies for Solving Complex Problems in Cryptography


Algorithmic Strategies for Solving Complex Problems in Cryptography

Author: Balasubramanian, Kannan

language: en

Publisher: IGI Global

Release Date: 2017-08-16


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Cryptography is a field that is constantly advancing, due to exponential growth in new technologies within the past few decades. Applying strategic algorithms to cryptic issues can help save time and energy in solving the expanding problems within this field. Algorithmic Strategies for Solving Complex Problems in Cryptography is an essential reference source that discusses the evolution and current trends in cryptology, and it offers new insight into how to use strategic algorithms to aid in solving intricate difficulties within this domain. Featuring relevant topics such as hash functions, homomorphic encryption schemes, two party computation, and integer factoring, this publication is ideal for academicians, graduate students, engineers, professionals, and researchers interested in expanding their knowledge of current trends and techniques within the cryptology field.