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.
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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.
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Inside This Book
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First Sentence:
We are often faced with the task of converting a message, i.e., a sequence of symbols from a finite set (called a source alphabet), into a binary message, i.e., a sequence of 0's and 1's. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
least important symbols, following parity check matrix, key germ, linear homogenous equations, rectangular code, nonzero code word, instantaneous code, fast decoder, coset leader, following generator matrix, cosec leader, syndrome polynomial, distinct code words, parity check polynomial, binary cyclic code, corrupted symbols, corrects single errors, repetition code, corrects burst errors, triple errors, simplex code, generator polynomial, source alphabet, cyclic codes, code alphabet Key Phrases - Capitalized Phrases (CAPs): (learn more)
Shannon's Fundamental Theorem, Fermat's Theorem, Concluding Remarks, Claude Shannon, Euler-Fermat Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We are often faced with the task of converting a message, i.e., a sequence of symbols from a finite set (called a source alphabet), into a binary message, i.e., a sequence of 0's and 1's. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
least important symbols, following parity check matrix, key germ, linear homogenous equations, rectangular code, nonzero code word, instantaneous code, fast decoder, coset leader, following generator matrix, cosec leader, syndrome polynomial, distinct code words, parity check polynomial, binary cyclic code, corrupted symbols, corrects single errors, repetition code, corrects burst errors, triple errors, simplex code, generator polynomial, source alphabet, cyclic codes, code alphabet Key Phrases - Capitalized Phrases (CAPs): (learn more)
Shannon's Fundamental Theorem, Fermat's Theorem, Concluding Remarks, Claude Shannon, Euler-Fermat Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 11
books:
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- Information Theory and Coding (Electronic Science) by N. Abramson in Front Matter, and Back Matter
- An Introduction to Cryptology (The Springer International Series in Engineering and Computer Science) by Henk C.A. van Tilborg in Front Matter, and Back Matter
- The Mathematical Theory of Communication by Claude E Shannon in Back Matter
- The Theory of Error-Correcting Codes (North-Holland Mathematical Library) by F.J. MacWilliams in Front Matter
- Key Papers in the Development of Coding Theory (Ieee Press Selected Reprint Series) by Elwyn R. Berlekamp in Back Matter
See all 11 books this book cites
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