Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: * classical cryptographic constructions, such as Diffie-Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; * fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; * an in-depth treatment of important recent cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. This book is an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online.

Computer science --- Cryptography --- Cryptographie --- Mathematics. --- Mathématiques --- Mathematics --- Coding theory. --- Cryptography --Mathematics. --- Coding theory --- Education --- Social Sciences --- Physical Sciences & Mathematics --- Algebra --- Book Studies & Arts --- Signs and symbols. --- Mathématiques --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Representation, Symbolic --- Semeiotics --- Signs --- Symbolic representation --- Symbols --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Data structures (Computer science). --- Data encryption (Computer science). --- Algebra. --- Ordered algebraic structures. --- Information theory. --- Number theory. --- Number Theory. --- Coding and Information Theory. --- Data Structures, Cryptology and Information Theory. --- Data Encryption. --- Information and Communication, Circuits. --- Order, Lattices, Ordered Algebraic Structures. --- Abbreviations --- Omens --- Semiotics --- Sign language --- Symbolism --- Visual communication --- Signs and symbols --- Writing --- Ciphers --- Data encryption (Computer science) --- Data structures (Computer scienc. --- Data Structures and Information Theory. --- Cryptology. --- Data structures (Computer science) --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Mathematical analysis --- Math --- Science --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Number study --- Numbers, Theory of --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Communication theory --- Communication --- Cybernetics --- Algebraic structures, Ordered --- Structures, Ordered algebraic --- Cryptography - Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.

Mathematics --- Number theory --- Ordered algebraic structures --- Algebra --- Computer science --- Information systems --- Computer. Automation --- algebra --- ICT (informatie- en communicatietechnieken) --- DES (data encryption standard) --- cryptologie --- informatica --- informatiesystemen --- wiskunde --- programmatielogica --- getallenleer

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)