Download E-books Mathematical Foundations of Public Key Cryptography PDF

In Mathematical Foundations of Public Key Cryptography, the authors combine the result of greater than twenty years of study and instructing adventure to assist scholars bridge the distance among math conception and crypto perform. The ebook presents a theoretical constitution of primary quantity idea and algebra wisdom helping public-key cryptography.

Rather than just combining quantity idea and smooth algebra, this textbook positive factors the interdisciplinary features of cryptography―revealing the integrations of mathematical theories and public-key cryptographic purposes. Incorporating the complexity concept of algorithms all through, it introduces the fundamental quantity theoretic and algebraic algorithms and their complexities to supply a initial figuring out of the purposes of mathematical theories in cryptographic algorithms.

Supplying a continuing integration of cryptography and arithmetic, the ebook contains insurance of basic quantity thought; algebraic constitution and attributes of staff, ring, and box; cryptography-related computing complexity and easy algorithms, in addition to lattice and primary equipment of lattice cryptanalysis.

The textual content comprises eleven chapters. uncomplicated concept and instruments of trouble-free quantity concept, akin to congruences, primitive roots, residue sessions, and endured fractions, are lined in Chapters 1-6. the fundamental options of summary algebra are brought in Chapters 7-9, the place 3 easy algebraic constructions of teams, jewelry, and fields and their houses are defined.

Chapter 10 is ready computational complexities of a number of comparable mathematical algorithms, and tough difficulties resembling integer factorization and discrete logarithm. bankruptcy eleven provides the fundamentals of lattice idea and the lattice foundation aid algorithm―the LLL set of rules and its software within the cryptanalysis of the RSA algorithm.

Containing a few workouts on key algorithms, the ebook is acceptable to be used as a textbook for undergraduate scholars and first-year graduate scholars in details defense courses. it's also an incredible reference ebook for cryptography execs seeking to grasp public-key cryptography.

Show description

Read or Download Mathematical Foundations of Public Key Cryptography PDF

Similar Combinatorics books

Difference Equations, Second Edition: An Introduction with Applications

Distinction Equations, moment variation, offers a realistic creation to this crucial box of options for engineering and the actual sciences. subject insurance comprises numerical research, numerical equipment, differential equations, combinatorics and discrete modeling. an indicator of this revision is the various program to many subfields of arithmetic.

Finite Projective Spaces of Three Dimensions (Oxford Mathematical Monographs)

This self-contained and hugely special examine considers projective areas of 3 dimensions over a finite box. it's the moment and center quantity of a three-volume treatise on finite projective areas, the 1st quantity being Projective Geometrics Over Finite Fields (OUP, 1979). the current paintings restricts itself to 3 dimensions, and considers either issues that are analogous of geometry over the complicated numbers and issues that come up out of the fashionable conception of prevalence constructions.

Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry

A gradual creation to the hugely refined international of discrete arithmetic, Mathematical difficulties and Proofs provides themes starting from undemanding definitions and theorems to complicated issues -- corresponding to cardinal numbers, producing capabilities, houses of Fibonacci numbers, and Euclidean set of rules.

Intuitive Combinatorial Topology (Universitext)

Topology is a comparatively younger and extremely vital department of arithmetic, which experiences the houses of gadgets which are preserved via deformations, twistings, and stretchings. This ebook offers with the topology of curves and surfaces in addition to with the basic innovations of homotopy and homology, and does this in a full of life and well-motivated method.

Extra info for Mathematical Foundations of Public Key Cryptography

Show sample text content

Rated 4.97 of 5 – based on 9 votes