Introduction to coding theory. (8): Other block codes.
نویسندگان
چکیده
منابع مشابه
Introduction to Coding Theory: Basic Codes and Shannon’s Theorem
Coding theory originated in the late 1940’s and took its roots in engineering. However, it has developed and become a part of mathematics, and especially computer science. Codes were initially developed to correct errors on noisy and inaccurate communication channels. In this endeavor, linear codes are very helpful. Linear codes are simple to understand, yet are the most important and effective...
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Coding theory is an important study which attempts to minimize data loss due to errors introduced in transmission from noise, interference or other forces. With a wide range of theoretical and practical applications from digital data transmission to modern medical research, coding theory has helped enable much of the growth in the 20th century. Data encoding is accomplished by adding additional...
متن کاملIntroduction to coding theory
Error-correcting codes constitute one of the key ingredients in achieving the high degree of reliability required in modern data transmission and storage systems. This book introduces the reader to the theoretical foundations of error-correcting codes, with an emphasis on Reed–Solomon codes and their derivative codes. After reviewing linear codes and finite fields, the author describes Reed–Sol...
متن کاملIntroduction to Algebraic Coding Theory
4 Ideals and cyclic codes 18 4.1 Ideals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 4.2 Cyclic codes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4.3 Group of a code . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 4.4 Minimal polynomials . . . . . . . . . . . . . . . . . . . . . . . . . 24 4.5 BCH and Reed-Solomon codes . . . . . . . . . . ....
متن کاملIntroduction to Algebraic Coding Theory
∗The first versions of this book were written in Fall 2001 and June 2002 at Cornell University, respectively supported by an NSF VIGRE Grant and a Department of Mathematics Grant. The current version was written in 2005 at Franklin W. Olin College of Engineering supported by NSF CCLI DUE-0410517 Grant. Edits were made in 2006 under the same grant. If you wish to use this book, please simply let...
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ژورنال
عنوان ژورنال: The Journal of the Institute of Television Engineers of Japan
سال: 1991
ISSN: 0386-6831,1884-9652
DOI: 10.3169/itej1978.45.350