A First Course In Coding Theory (Oxford Applied Mathematics And Computing Science Series)

Brilliant introduction to coding theory. Every chapter has exercises at the end - plus answers. It's ridiculously expensive, so if you need it try to get hold of a used copy,

* PhysicalThis book has a good quality binding and a font size thats adequate to read if you need specs.* A - level, H.N.D, undergraduate, postgraduate?The target seems to be second - third year engineering or second - third year Math.* Whats covered then?The definition is to produce the simpler, theoretical backup when building error - correcting codes methods for digital technology. The book design is to use a minimum backbone of Math to help the applied problems. The early pages have a crib for math notation early in the book so straight away its a useful reminder. Then the important definitions of what is to be required to create error correcting systems. The nomenclature is (n, M, d), 'n' that is the fast transmission of messages, 'M' is to transmit a wider variety of messages, and a large 'd' is for error correction. Such as a definition of a individual codeword, and the total list of additional codewords as part of a set of codewords, and the error correction required.* What codes types are covered?The best error correction systems has perfect codes, that is individual code word that shares little with other individual code word that helpfully imagined by non - overlapping circles and use binomial probability equations. The difficulty from now on seems to depend if you have experienced' Group Theory' before using Galois finite fields and how they are linked to MOD number handling. With further application from Euler - based methods to solve linear matrices using fundamental operations such as permutation of rows to make generator / identities matrices and so on. The code explanations cover from linear, Latin square, dual codes, cyclic codes too. If you have all this under your belt already, your in a much better position that perhaps this being your first encounter of these features?* SummaryThis book has been a fair introduction to a useful topic that must have an impact if you a creating a digital hardware project for a dissertation. Even if you do not use all of this, its still a fabulous eye-opener of useful digital Applied Mathematical background.

A nice book, and an easy read if you already feel comfortable around vectorspaces over finite fields. Most of the math required in a basic course on coding is here and it's quite accessible. A few sections seems out of place, but except from that it's a good book. Although the pace picks up towards the end, this is probably not a graduate level book, so if used at that level to introduce coding theory additional material is required. Most of the problems are fairly simple, and have answers towards the end of the book. If you have the required level of "mathematical maturity" and are meeting coding theory for the first time, pick up this book, it was written for you. If you are looking for your second book you probably want to look somewhere else. (There are many "second books" out there but Blahut's book from 2003, or one of the titles by Vera Pless would be my choice).

A really good book covering the mathematics behind coding theory - how to send data efficiently using mathematical algorithms. It's very well written and really interesting. This was a set text for a module I studied and I really enjoyed the course. Worth reading!

Great text on the subject, with helpful exercise and answers.

I bought this book to prepare for a postgraduate course that has coding theory as an element. I found it relatively clear and, so far as I can tell, free of errors. There are many exercises, with (very brief) solutions. It's not a recent publication, and I'm not sure how many of the "unknowns" the book refers to are still unknown. However, I doubt the fundamentals of the subject have changed much since Hamming's heyday, so that's probably not a problem.I see two obvious problems:1. It's extremely expensive, for a short book. I'm aware that specialist textbooks are expensive, but I think the publishers are having a laugh here.2. Although the author claims that no particular knowledge is needed of abstract algebra, number theory, linear algebra, etc., the explanations of these subjects in the text were extremely abrupt. I found that I had to do a lot of additional reading to be able to follow many of the proofs.

A concise account of the Coding Theory.