Choose an application

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

This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory. It presents the first unified account of the four major areas of application where number theory plays a fundamental role, namely cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation, allowing the authors to delineate the manifold links and interrelations between these areas.  Number theory, which Carl-Friedrich Gauss famously dubbed the queen of mathematics, has always been considered a very beautiful field of mathematics, producing lovely results and elegant proofs. While only very few real-life applications were known in the past, today number theory can be found in everyday life: in supermarket bar code scanners, in our cars’ GPS systems, in online banking, etc.  Starting with a brief introductory course on number theory in Chapter 1, which makes the book more accessible for undergraduates, the authors describe the four main application areas in Chapters 2-5 and offer a glimpse of advanced results that are presented without proofs and require more advanced mathematical skills. In the last chapter they review several further applications of number theory, ranging from check-digit systems to quantum computation and the organization of raster-graphics memory.  Upper-level undergraduates, graduates and researchers in the field of number theory will find this book to be a valuable resource.

Algebra --- Mathematics --- Physical Sciences & Mathematics --- Mathematics. --- Data structures (Computer science). --- Information theory. --- Number theory. --- Number Theory. --- Information and Communication, Circuits. --- Data Structures, Cryptology and Information Theory. --- Data structures (Computer scienc. --- Data Structures and Information Theory. --- Number study --- Numbers, Theory of --- Math --- 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) --- Communication theory --- Communication --- Cybernetics

Choose an application

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

This book constitutes the refereed proceedings of the 8th International Conference on Sequences and Their Applications, SETA 2014, held in Melbourne, VIC, Australia, in November 2014. The 24 full papers presented together with 2 invited papers were carefully reviewed and selected from 36 submissions. The papers have been organized in topical sections on Boolean functions, perfect sequences, correlation of arrays, relative difference sets, aperiodic correlation, pseudorandom sequences and stream ciphers, crosscorrelation of sequences, prime numbers in sequences, OFDM and CDMA, and frequency-hopping sequences.

Computer science. --- Computer communication systems. --- Data encryption (Computer science). --- Coding theory. --- Algorithms. --- Computer science --- Management information systems. --- Computer Science. --- Discrete Mathematics in Computer Science. --- Algorithm Analysis and Problem Complexity. --- Data Encryption. --- Computer Communication Networks. --- Management of Computing and Information Systems. --- Coding and Information Theory. --- Mathematics. --- Computational complexity. --- Computer software. --- Information Systems. --- Cryptology. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Software, Computer --- Computer systems --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Signal theory (Telecommunication) --- Computer programming --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Cryptography --- Sequences --- Computer science—Mathematics. --- Information theory. --- Algorism --- Algebra --- Arithmetic --- Communication theory --- Communication --- Cybernetics --- Informatics --- Science --- Computer-based information systems --- EIS (Information systems) --- Executive information systems --- MIS (Information systems) --- Sociotechnical systems --- Information resources management --- Management --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Network computers --- Foundations --- Communication systems --- Distributed processing --- Discrete mathematics. --- Cryptography. --- Computer networks. --- Electronic data processing—Management. --- IT Operations. --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Signs and symbols --- Symbolism --- Writing --- Ciphers --- Data encryption (Computer science) --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis

Choose an application

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

Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.

Combinatorial analysis.

Choose an application

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

This book constitutes the refereed proceedings of the 5th International Conference on Sequences and Their Applications, SETA 2008, held in Lexington, KY, USA in September 2008. The 32 revised full papers presented were carefully reviewed and selected. The papers are organized in topical sections on probabilistic methods and randomness properties of sequences; correlation; combinatorial and algebraic foundations; security aspects of sequences; algorithms; correlation of sequences over rings; nonlinear functions over finite fields.

Sequences (Mathematics) --- Mathematical sequences --- Numerical sequences --- Algebra --- Mathematics --- Computational complexity. --- Information theory. --- Algebra. --- Coding theory. --- Discrete Mathematics in Computer Science. --- Theory of Computation. --- Mathematical Modeling and Industrial Mathematics. --- Symbolic and Algebraic Manipulation. --- Coding and Information Theory. --- Data processing. --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Mathematical analysis --- Communication theory --- Communication --- Cybernetics --- Complexity, Computational --- Electronic data processing --- Computer science—Mathematics. --- Computers. --- Mathematical models. --- Models, Mathematical --- Simulation methods --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Calculators --- Cyberspace --- Discrete mathematics. --- Computer science. --- Informatics --- Science --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis

Choose an application

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