Error-correcting codes.
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Error-correcting codes.

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Published by M.I.T. Press in [Cambridge] .
Written in English

Subjects:

  • Error-correcting codes (Information theory)

Book details:

The Physical Object
Pagination285p.
Number of Pages285
ID Numbers
Open LibraryOL14840400M

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Error-correcting codes (Information theory): Books. 1 - 20 of 81 results This book began as a series of lecture notes for a course called Introduc­ tion to Adaptive Systems which I developed for undergraduate Computing Science majors at the University of Alberta and first taught in The objective of the. Introduces a number of important classes of error-detecting and error-correcting codes as well as their decoding methods. Background material on modern algebra is presented where required. The role of error-correcting codes in modern cryptography is treated as are data compression and other topics related to information theory. May 11,  · Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is tomsseweranddrainserviceoh.com by: Title: Microsoft PowerPoint - tomsseweranddrainserviceoh.com Author: jrs Created Date: 11/14/ PM.

The book contains essentially all of the material of the first edition; however, the authors state that because there has been so much new work published in error-correcting codes, the preparation of this second edition proved to be a much greater task than writing the original book. A more efficient encoding scheme is a Hamming code, which is analogous to the phonetic alphabet from the opening tomsseweranddrainserviceoh.com a Hamming code, every possible message string is encoded as a certain binary number, with the set of numbers specifically chosen so that they are all significantly different in some sense; in other words, every pair of encoded messages are substantially different by some. Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the tomsseweranddrainserviceoh.come details and share your research! But avoid . Asking for help, clarification, or responding to other answers. Decoding Ideal decoders would give good performance, but optimally decoding parity check codes is an NP-complete problem In practice, the sum-product algorithm, aka iterative probabilistic decoding, aka belief propagation do very well Decoding occurs by message passing on the graph same basic idea as graphical models.

This book traces a remarkable path of mathematical connections through seemingly disparate topics. Frustrations with a 's electro-mechanical computer at a premier research laboratory begin this story. Subsequent mathematical methods of encoding messages to ensure correctness when transmitted over noisy channels led to discoveries of extremely efficient lattice packings of equal-radius. Dec 04,  · Error Correcting Codes book. Read reviews from world’s largest community for readers. Assuming little previous mathematical knowledge, Error Correcting C /5(6). The central idea is the sender encodes the message in a redundant way, most often by using an error-correcting code (ECC). The redundancy allows the receiver to detect a limited number of errors that may occur anywhere in the message, and often to correct these errors without re-transmission. An introduction to the theory of error-correction codes, and in particular to linear block codes is provided in this book. It considers such codes as Hamming codes and Golay codes, correction of double errors, use of finite fields, cyclic codes, BCH codes and weight distributions, as well as design of codes/5(8).