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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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Theory of knowledge --- System theory --- 681.3*H11 --- Systems, Theory of --- Systems science --- Science --- Systems and information theory: value of information--See also {681.3*E4} --- Philosophy --- System theory. --- 681.3*H11 Systems and information theory: value of information--See also {681.3*E4} --- Systèmes, Théorie des

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Library research --- 02:51 --- Information science --- -681.3*H11 --- Communication --- Information literacy --- Library science --- Bibliometrie --- Statistical methods --- Systems and information theory: value of information--See also {681.3*E4} --- 681.3*H11 Systems and information theory: value of information--See also {681.3*E4} --- 02:51 Bibliometrie --- 681.3*H11 --- Informetrics

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Ergodic theory. Information theory --- Mathematical control systems --- Information systems --- Data compression (Computer science) --- Données --- Compression (Informatique) --- 681.3*E4 --- Compression of data (Computer science) --- Compression of files (Computer science) --- Compression of text (Computer science) --- File compression (Computer science) --- Text compression (Computer science) --- Coding theory --- Database management --- File organization (Computer science) --- Data compression (Telecommunication) --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Data compression (Computer science). --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Données --- Complexity Analysis --- Coding --- Implementation --- Dictionary Method --- Np Complete

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Mathematical control systems --- cryptografie --- Cryptography --- Coding theory --- Cryptographie --- Codage --- 519.764 --- 681.3*E3 --- 681.3*E4 --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Signs and symbols --- Symbolism --- Writing --- Ciphers --- Data encryption (Computer science) --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Deciphering of systems of symbols --- Data encryption: data encryption standard; DES; public key cryptosystems --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Coding theory. --- Cryptography. --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- 681.3*E3 Data encryption: data encryption standard; DES; public key cryptosystems --- 519.764 Deciphering of systems of symbols --- Codage. --- Cryptographie.