TY - BOOK AU - Roman,Steven TI - Coding and information theory / T2 - Graduate texts in mathematics ; SN - 0387978127 (New York : acid-free paper) AV - QA268 .R65 1992 U1 - 003.54 20 PY - 1992/// CY - New York : PB - Springer-Verlag, KW - CIT KW - EMBA KW - MOT KW - Coding theory KW - Information theory N1 - Includes bibliographical references (p. [475]-477) and indexes; 1: Entropy. 2: Noisless Coding. 3: Noisy Coding. 4: General Remarks on Codes. 5: Linear Codes. 6: Some Linear Codes. 7: Finite Fields and Cyclic Codes. 8: Some Cyclic Codes N2 - This book provides an elementary introduction to Information Theory and Coding Theory - two related aspects of the problem of how to transmit information efficiently and accurately. The first part of the book focuses on Information Theory, covering uniquely decodable and instantaneous codes, Huffman coding, entropy, information channels, and Shannon's Fundamental Theorem. In the second part, on Coding Theory, linear algebra is used to construct examples of such codes, such as the Hamming, Hadamard, Golay and Reed-Muller codes.The book emphasises carefully explained proofs and worked examples; exercises (with solutions) are integrated into the text as part of the learning process. Only some basic probability theory and linear algebra, together with a little calculus (as covered in most first-year university syllabuses), is assumed, making it suitable for second- and third-year undergraduates in mathematics, electronics and computer science ER -