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Editorial Reviews
Review
This work presents a unified account of all the mathematical techniques used to date. It is presented in an intelligible manner and is designed as both introductory textbook for the beginner and reference book for the expert engineer and mathematician. The book is divided into sections which can be used as a basis for an elementary course on coding theory for mathematicians, a second course for mathematicians, an elementary first course for engineers, and a second course for engineers. The remainder is directed towards the experts in the subject and is suitable for advanced courses and seminars. An abundance of problems is included, as well as a number of unsolved problems suitable for use in research projects as topics for study.
Engineering Societies Library
This text provides a thorough coverage of mathematical techniques applicable to this subject. The set can serve as a text for advanced students or as a reference work for the practitioner.
New Technical Books
Engineering Societies Library
This text provides a thorough coverage of mathematical techniques applicable to this subject. The set can serve as a text for advanced students or as a reference work for the practitioner.
New Technical Books
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Most Helpful Customer Reviews
8 of 9 people found the following review helpful:
5.0 out of 5 stars
An encyclopedic guide for beginners and professionals,
By A Customer
This review is from: The Theory of Error-Correcting Codes (North-Holland Mathematical Library) (Hardcover)
Certainly the best coding theory text in existence. Introduces the subject, as well as mathematical topics used in the study of error-correcting codes. It is also a very good reference for mathematicians and engineers--with summaries of current knowlege of many codes.
4.0 out of 5 stars
A 20th century classic,
By R. Bagula "Roger L. Bagula" (Lakeside, Ca United States) - See all my reviews (VINE VOICE) (REAL NAME)
This review is from: The Theory of Error-Correcting Codes, Part 1 (North-Holland Mathematical Library, Vol. 16) (v. 1) (Hardcover)
I find it a shame that I can't give this book five stars as it has been one of the definitive works of error correcting codes for over 25 years, but the Index is just really bad. One of the major types of symmetry is the self-similar Hadamard matrix and it isn't in the Index.
This book has some of the most difficult mathematics known in it, and does an even better job of telling about it than the similar chapters in Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften) (v. 290) :"Sphere Packings". That a field of combinatorial arguments ( Golay, Leech, Mathieu, Hadamard, Paley) should be as effective as this in coding as well as the geometry of groups is very remarkable.
0 of 2 people found the following review helpful:
3.0 out of 5 stars
Good reference, Bad read,
This review is from: The Theory of Error-Correcting Codes (North-Holland Mathematical Library) (Hardcover)
Just a couple of years ago I bought this book online for ~$80 and now I see it's nearly doubled.
While I will agree that book is worth having for a reference, it is not a good book to learn from. It is written in a style that's very dry and it is in effect a long series of proofs and lemmas. Also, I wouldn't call this a theory book since it doesn't give a fundamental understanding of why coding works. It's more of the mathematical foundation of coding with lots of code construction examples. On the good side, it contains some original material and is heavily referenced in the literature. But it's really written for researchers and not engineers.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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good polynomial basis, alternant codes, double circulant codes, log element log, optimal anticode, parity checks orthogonal, typical codeword, split weight enumerator, uniformly packed codes, octad containing, finite geometry codes, block intersection numbers, annihilator polynomial, covering polynomials, extended cyclic code, overall parity check, linearized polynomial, true minimum distance, complete weight enumerator, corresponding symplectic form, symmetry codes, conference matrices, simplex code, irreducible code, cyclic codes Key Phrases - Capitalized Phrases (CAPs): (learn more)
Research Problem, Van Lint, Van Tilborg, Combining Theorems, Shannon's Theorem, Sylvester-type Hadamard New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
good polynomial basis, alternant codes, double circulant codes, log element log, optimal anticode, parity checks orthogonal, typical codeword, split weight enumerator, uniformly packed codes, octad containing, finite geometry codes, block intersection numbers, annihilator polynomial, covering polynomials, extended cyclic code, overall parity check, linearized polynomial, true minimum distance, complete weight enumerator, corresponding symplectic form, symmetry codes, conference matrices, simplex code, irreducible code, cyclic codes Key Phrases - Capitalized Phrases (CAPs): (learn more)
Research Problem, Van Lint, Van Tilborg, Combining Theorems, Shannon's Theorem, Sylvester-type Hadamard 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 68
books:
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100
books
cite this book:
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- Combinatorial Theory (Wiley Classics Library) by Marshall Hall in Back Matter (1), and Back Matter (2)
- Computers in Algebra and Number Theory (Siam-Ams Proceedings, V. 4) by G. Birkhoff in Back Matter (1), and Back Matter (2)
- Foundations of Coding Theory (Episteme) by W.E. Hartnett in Back Matter
- Representation Theory of Finite Groups (Dover Books on Mathematics) by Martin Burrow in Back Matter
- The Design and Analysis of Computer Algorithms by Alfred V. Aho in Back Matter
See all 68 books this book cites
- Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 12th International Symposium, AAECC-12, Toulouse, France, June, 23-27, 1997, Proceedings (Lecture Notes in Computer Science) by Teo Mora on 7 pages
- Difference Sets, Sequences and Their Correlation Properties (NATO Science Series C: (closed)) by A. Pott on 4 pages
- Codes, Curves, and Signals: Common Threads in Communications (The Springer International Series in Engineering and Computer Science) by Alexander Vardy on 4 pages
- Coding, Cryptography and Combinatorics (Progress in Computer Science and Applied Logic (PCS)) (v. 23) by Keqin Feng on page 27, page 222, and page 274
- Basic Concepts in Information Theory and Coding: The Adventures of Secret Agent 00111 (Applications of Communications Theory) by Solomon W. Golomb on page 242, page 307, and Back Matter
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