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Books > Computing & IT > Applications of computing > Databases > Data security & data encryption
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Mathematical Foundations of Public Key Cryptography (Paperback)
Loot Price: R1,359
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Mathematical Foundations of Public Key Cryptography (Paperback)
Expected to ship within 12 - 17 working days
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In Mathematical Foundations of Public Key Cryptography, the authors
integrate the results of more than 20 years of research and
teaching experience to help students bridge the gap between math
theory and crypto practice. The book provides a theoretical
structure of fundamental number theory and algebra knowledge
supporting public-key cryptography. Rather than simply combining
number theory and modern algebra, this textbook features the
interdisciplinary characteristics of cryptography-revealing the
integrations of mathematical theories and public-key cryptographic
applications. Incorporating the complexity theory of algorithms
throughout, it introduces the basic number theoretic and algebraic
algorithms and their complexities to provide a preliminary
understanding of the applications of mathematical theories in
cryptographic algorithms. Supplying a seamless integration of
cryptography and mathematics, the book includes coverage of
elementary number theory; algebraic structure and attributes of
group, ring, and field; cryptography-related computing complexity
and basic algorithms, as well as lattice and fundamental methods of
lattice cryptanalysis. The text consists of 11 chapters. Basic
theory and tools of elementary number theory, such as congruences,
primitive roots, residue classes, and continued fractions, are
covered in Chapters 1-6. The basic concepts of abstract algebra are
introduced in Chapters 7-9, where three basic algebraic structures
of groups, rings, and fields and their properties are explained.
Chapter 10 is about computational complexities of several related
mathematical algorithms, and hard problems such as integer
factorization and discrete logarithm. Chapter 11 presents the
basics of lattice theory and the lattice basis reduction
algorithm-the LLL algorithm and its application in the
cryptanalysis of the RSA algorithm. Containing a number of
exercises on key algorithms, the book is suitable for use as a
textbook for undergraduate students and first-year graduate
students in information security programs. It is also an ideal
reference book for cryptography professionals looking to master
public-key cryptography.
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