Coding theory is still a young subject. One can safely say that it was born in It is not surprising that it has not yet become a fixed topic in the curriculum of. The body of the book consists of two parts: a rigorous, mathematically oriented first course in coding theory followed by introductions to special topics. What is Coding Theory? The study of methods for . Introduction to Coding Theory, J.H. van Lint, Springer, 2. ┼Жш Уъn╪, ¾ОН═, Ц╩.
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J.H. van Lint, “Introduction to coding theory,” 3rd edition, Graduate V. Pless, “ Introduction to the theory of error-correcting codes,” 3rd edition. Let me begin this review of van Lint's excellent exposition of major topics in coding theory with a brief introduction to the subject. The MONTHLY has published. mit articles to the Bulletin as TEX input files; if this is not possible typescripts will be accepted. Manuscripts are not acceptable.  C. R. P. Hartmann and K. K.
The Lee Metric. Hadamard Codes and Generalizations. The Binary Golay Code. The Ternary Golay Code. Constructing Codes from Other Codes.
Reed-Muller Codes. Kerdock Codes.
Essential Coding Theory
Introduction: The Gilbert Bound. Upper Bounds.
The Linear Programming Bound. Generator Matrix and Check Polynomial. Zeros of a Cyclic Code.
The Idempotent of a Cyclic Code. Other Representations of Cyclic Codes. BCH Codes. Decoding BCH Codes.
Reed-Solomon Codes. Quadratic Residue Codes. Binary Cyclic Codes of Length 2n n odd. Generalized Reed-Muller Codes. Linear Codes. Hamming Codes. Majority Logic Decoding.
The Lee Metric. Hadamard Codes and Generalizations. The Binary Golay Code.
The Ternary Golay Code. Constructing Codes from Other Codes. Reed-Muller Codes.
15-859V: Introduction to Coding Theory, Spring 2010
Kerdock Codes. Introduction: The Gilbert Bound. Upper Bounds.
The Linear Programming Bound. Generator Matrix and Check Polynomial. Zeros of a Cyclic Code. The Idempotent of a Cyclic Code. Other Representations of Cyclic Codes.
BCH Codes. Reed Solomon codes. Reed-Muller codes.
Introduction to Coding Theory
Hadamard codes again! Random codes. Forney codes. Justesen codes. MacWilliams Identities. Linear Programming bound.
Decoding RS codes. Local unambiguous decoding of some Hadamard codes and Reed-Muller codes. References Some standard references for coding theory are listed below.Zeros of a Cyclic Code. These items are shipped from and sold by different sellers.
Notes from Luca Trevisan's course on Coding theory and complexity The basic material on codes we discuss in initial lectures can be found in many books, including Introduction to Coding Theory by J.