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These lecture notes are the contents of a two-term course given by me during the 1970-1971 academic year as Morgan Ward visiting professor at the California Institute of Technology. The students who took the course were mathematics seniors and graduate students. Therefore a thorough knowledge of algebra. (a. o. linear algebra, theory of finite fields, characters of abelian groups) and also probability theory were assumed. After introducing coding theory and linear codes these notes concern topics mostly from algebraic coding theory. The practical side of the subject, e. g. circuitry, is not included. Some topics which one would like to include 1n a course for students of mathematics such as bounds on the information rate of codes and many connections between combinatorial mathematics and coding theory could not be treated due to lack of time. For an extension of the course into a third term these two topics would have been chosen. Although the material for this course came from many sources there are three which contributed heavily and which were used as suggested reading material for the students. These are W. W. Peterson's Error-Correcting Codes «(15]), E. R. Berlekamp's Algebraic Coding Theory «(5]) and several of the AFCRL-reports by E. F. Assmus, H. F. Mattson and R. Turyn ([2], (3), [4] a. o. ). For several fruitful discussions I would like to thank R. J. McEliece.

Mathematical control systems --- 519.7 --- 681.3*E4 --- Mathematical cybernetics --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Coding theory. --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- 519.7 Mathematical cybernetics

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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank

Mathematical logic --- System analysis. --- Systèmes, Théorie des. --- System theory. --- Systèmes d'aide à la décision --- Decision support systems --- System Analysis --- System theory --- Théorie des systèmes --- ELSEVIER-B EPUB-LIV-FT --- Network analysis --- Network science --- Network theory --- Systems analysis --- Mathematical optimization --- System analysis --- 519.71 --- 681.3*H11 --- 519.71 Control systems theory: mathematical aspects --- Control systems theory: mathematical aspects --- 681.3*H11 Systems and information theory: value of information--See also {681.3*E4} --- Systems and information theory: value of information--See also {681.3*E4} --- Decision support systems. --- Systèmes d'aide à la décision --- Systèmes, Théorie des --- Theorie du controle

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This second volume is arranged in four sections: Analysis contains papers which compare the attributes of various approaches to uncertainty. Tools provides sufficient information for the reader to implement uncertainty calculations. Papers in the Theory section explain various approaches to uncertainty. The Applications section describes the difficulties involved in, and the results produced by, incorporating uncertainty into actual systems.

681.3*E4 --- 681.3*I23 --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Deduction and theorem proving: answer/reason extraction; reasoning; resolution; metatheory; mathematical induction; logic programming (Artificial intelligence) --- 681.3*I23 Deduction and theorem proving: answer/reason extraction; reasoning; resolution; metatheory; mathematical induction; logic programming (Artificial intelligence) --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Artificial intelligence. --- Problem solving. --- Uncertainty (Information theory) --- Measure of uncertainty (Information theory) --- Shannon's measure of uncertainty --- System uncertainty --- Information measurement --- Probabilities --- Questions and answers --- Methodology --- Psychology --- Decision making --- Executive functions (Neuropsychology) --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Artificial intelligence --- Knowledge Representation --- Uncertainty

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65.01 --- 681.3*H11 --- 681.3*H41 --- 681.3*K61 --- 681.3*K61 Project and people management: life cycle staffing systems analysis and design systems development training (Management of computing and information systems) --- Project and people management: life cycle staffing systems analysis and design systems development training (Management of computing and information systems) --- 681.3*H41 Office automation: equipment word processing--See also {681.3*I7} --- Office automation: equipment word processing--See also {681.3*I7} --- 681.3*H11 Systems and information theory: value of information--See also {681.3*E4} --- Systems and information theory: value of information--See also {681.3*E4} --- 65.01 Methods and methodology. Theory and practice of organization --- Methods and methodology. Theory and practice of organization --- System analysis --- System theory --- Systems, Theory of --- Systems science --- Science --- Network theory --- Systems analysis --- Mathematical optimization --- 681.3*K61 Project and people management: life cycle; staffing; systems analysis and design; systems development; training (Management of computing and information systems) --- Project and people management: life cycle; staffing; systems analysis and design; systems development; training (Management of computing and information systems) --- 681.3*H41 Office automation: equipment; word processing--See also {681.3*I7} --- Office automation: equipment; word processing--See also {681.3*I7} --- Philosophy --- Network analysis --- Network science --- Planning (firm) --- Computer architecture. Operating systems --- System analysis. --- System theory.

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This companion exercise and solution book to A Classical Introduction to Cryptography: Applications for Communications Security contains a carefully revised version of teaching material. It was used by the authors or given as examinations to undergraduate and graduate-level students of the Cryptography and Security Lecture at EPFL from 2000 to mid-2005. A Classical Introduction to Cryptography Exercise Book for A Classical Introduction to Cryptography: Applications for Communications Security covers a majority of the subjects that make up today's cryptology, such as symmetric or public-key cryptography, cryptographic protocols, design, cryptanalysis, and implementation of cryptosystems. Exercises do not require a large background in mathematics, since the most important notions are introduced and discussed in many of the exercises. The authors expect the readers to be comfortable with basic facts of discrete probability theory, discrete mathematics, calculus, algebra, as well as computer science. Following the model of A Classical Introduction to Cryptography: Applications for Communications Security, exercises related to the more advanced parts of the textbook are marked with a star.

Computer security --- Cryptography --- 681.3*E1 --- 681.3*E3 --- 681.3*E4 --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Signs and symbols --- Symbolism --- Writing --- Ciphers --- Data encryption (Computer science) --- Computer privacy --- Computer system security --- Computer systems --- Computers --- Cyber security --- Cybersecurity --- Electronic digital computers --- Protection of computer systems --- Security of computer systems --- Data protection --- Security systems --- Hacking --- 681.3*E3 Data encryption: data encryption standard; DES; public key cryptosystems --- Data encryption: data encryption standard; DES; public key cryptosystems --- 681.3*E1 Data structures: arrays; graphs; lists; tables; trees --- Data structures: arrays; graphs; lists; tables; trees --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Protection --- Security measures --- Computer security. --- Cryptography. --- Sécurité informatique --- Cryptographie --- Problems, exercises, etc. --- Problèmes et exercices --- EPUB-LIV-FT LIVINFOR SPRINGER-B --- Data encryption (Computer science). --- Information theory. --- Computer Communication Networks. --- Data structures (Computer science) --- Coding theory. --- Data transmission systems. --- Cryptology. --- Theory of Computation. --- Data Structures and Information Theory. --- Coding and Information Theory. --- Input/Output and Data Communications. --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Data communication systems --- Transmission of data --- Digital communications --- Electronic systems --- Information theory --- Telecommunication systems --- Data compression (Telecommunication) --- Digital electronics --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Communication theory --- Communication --- Cybernetics --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computers. --- Computer communication systems. --- Data structures (Computer science). --- Input-output equipment (Computers). --- Computer hardware --- Computer I/O equipment --- Electronic analog computers --- Hardware, Computer --- I/O equipment (Computers) --- Input equipment (Computers) --- Input-output equipment (Computers) --- Output equipment (Computers) --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Network computers --- Automatic computers --- Automatic data processors --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Calculators --- Cyberspace --- Input-output equipment --- Distributed processing