By J. H. van Lint

ISBN-10: 3540641335

ISBN-13: 9783540641339

"The second (slightly enlarged) variation of the van Lint's ebook is a brief, concise, mathematically rigorous advent to the topic. easy notions and ideas are in actual fact provided from the mathematician's viewpoint and illustrated on a number of particular periods of codes...This great e-book is a needs to for each mathematician wishing to introduce himself to the algebraic idea of coding. " eu Mathematical Society publication, 1993 "Despite the lifestyles of such a lot of different books on coding idea, this current quantity will proceed to carry its position as one of many usual texts..." The Mathematical Gazette, 1993

**Read or Download Introduction to Coding Theory (3rd Edition) (Graduate Texts in Mathematics, Volume 86) PDF**

**Similar algebra books**

**New PDF release: An Invitation to General Algebra and Universal Constructions**

Wealthy in examples and intuitive discussions, this e-book offers basic Algebra utilizing the unifying perspective of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many standard and not-so-familiar buildings in algebra (plus from topology for perspective), the reader is guided to an knowing and appreciation of the overall ideas and instruments unifying those structures.

**Read e-book online Smarandache Fuzzy Algebra PDF**

The writer stories the Smarandache Fuzzy Algebra, which, like its predecessor Fuzzy Algebra, arose from the necessity to outline buildings that have been extra appropriate with the genuine international the place the gray parts mattered, not just black or white. In any human box, a Smarandache n-structure on a suite S potential a susceptible constitution {w0} on S such that there exists a sequence of right subsets Pn–1 integrated in Pn–2 integrated in … incorporated in P2 incorporated in P1 integrated in S whose corresponding buildings make certain the chain {wn–1} > {wn–2} > … > {w2} > {w1} > {w0}, the place ‘>’ indicates ‘strictly greater’ (i.

**New PDF release: eCompanion for Intermediate Algebra with Applications, 7th**

This new textual content is a significant other to the normal and complete print and booklet types of the best-selling Intermediate Algebra with purposes textual content by means of the Aufmann/Lockwood staff. The eCompanion offers a telescopic view of the center ideas for introductory algebra as a narrow moveable reasonably cheap print alternative that gives the normal and on-line scholar the precis according to studying goal they require.

- Algebra and logic: Proceedings Clayton, 1974
- Algebra und Diskrete Mathematik 2: Lineare Optimierung, Graphen und Algorithmen, Algebraische Strukturen und Allgemeine Algebra mit Anwendungen
- Dictionary on Lie Algebras and Superalgebras
- A treatise on quantum Clifford algebras
- Structure and Representation of Jordan Algebras
- Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

**Extra resources for Introduction to Coding Theory (3rd Edition) (Graduate Texts in Mathematics, Volume 86)**

**Sample text**

2. Sometimes the weight enumerator of a code C is given in homogeneous form as Hamc;(x,y):= Lx"-W(C)yW(C). (x, y) = jCjHamc;(x + y, x - y). 3. 6. The Lee Metric In many communication schemes used in practice, one can model the alphabet as a set of points regularly spaced on a circle. Take as example an alphabet of this kind with seven symbols. 6. The Lee Metric 43 make all errors equally likely. It is much more likely that a transmitted symbol is received as a symbol close to it. In our terminology, this means that if a 4 is sent and an error occurs, it is more likely that a 3 or a 5 is received than a 2 or a 6, etc.

8». We construct a code C with codewords 0, 1, the rows of t(S + I + J) and t( -S + I + J). 8 it follows that C is an (n, 2(n + 1), d) code, where d = t(n - 1) if n == 1 (mod 4) and d = t(n - 3) if n == 3 (mod 4). ] 4. 2. The Binary Golay Code The most famous of all (binary) codes is the so-called binary Golay code f§23' There are very many constructions of this code, some of them quite elegant and with short proofs of the properties of this code. We shall prove that f§24' the extended binary Golay code, is unique and treat a few constructions.

Sometimes the weight enumerator of a code C is given in homogeneous form as Hamc;(x,y):= Lx"-W(C)yW(C). (x, y) = jCjHamc;(x + y, x - y). 3. 6. The Lee Metric In many communication schemes used in practice, one can model the alphabet as a set of points regularly spaced on a circle. Take as example an alphabet of this kind with seven symbols. 6. The Lee Metric 43 make all errors equally likely. It is much more likely that a transmitted symbol is received as a symbol close to it. In our terminology, this means that if a 4 is sent and an error occurs, it is more likely that a 3 or a 5 is received than a 2 or a 6, etc.

### Introduction to Coding Theory (3rd Edition) (Graduate Texts in Mathematics, Volume 86) by J. H. van Lint

by Thomas

4.0