ENGLISH

Foundations of Coding: Theory and Applications of Error-Correcting Codes with an Introduction to Cryptography and Information Theory

By Jiri Adamek(auth.)

Book information

Year
1991
ISBN
9780471621874, 9781118033265
DOI
10.1002/9781118033265
Language
english
Format
PDF
Filesize
6 MB (6339123 bytes)
Pages
335\335
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00

Description

Although devoted to constructions of good codes for error control, secrecy or data compression, the emphasis is on the first direction. 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. The definition-theorem proof style used in mathematics texts is employed through the book but formalism is avoided wherever possible.Content: Chapter 1 Coding and Decoding (pages 3–16): Chapter 2 Huffman Codes (pages 17–24): Chapter 3 Data Compression and Entropy (pages 25–38): Chapter 4 Reliable Communication Through Unreliable Channels (pages 39–60): Chapter 5 Binary Linear Codes (pages 61–78): Chapter 6 Groups and Standard Arrays (pages 79–89): Chapter 7 Linear Algebra (pages 91–114): Chapter 8 Linear Codes (pages 115–135): Chapter 9 Reed?Muller Codes: Weak Codes with Easy Decoding (pages 137–160): Chapter 10 Cyclic Codes (pages 161–195): Chapter 11 Polynomials and Finite Fields (pages 197–227): Chapter 12 BCH Codes: Strong Codes Correcting Multiple Errors (pages 229–256): Chapter 13 Fast Decoding of BCH Codes (pages 257–267): Chapter 14 Convolutional Codes (pages 269–290): Chapter 15 Cryptography (pages 291–317):

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