A first course in coding theory, 1st Edition by Raymond Hill

By Raymond Hill

Algebraic coding idea is a brand new and speedily constructing topic, renowned for its many useful purposes and for its fascinatingly wealthy mathematical constitution. This e-book offers an effortless but rigorous advent to the idea of error-correcting codes. in response to classes given by means of the writer over a number of years to complicated undergraduates and first-year graduated scholars, this advisor features a huge variety of workouts, all with ideas, making the publication hugely compatible for person research

Show description

Read or Download A first course in coding theory, 1st Edition PDF

Similar machine theory books

Theoretische Informatik: Eine kompakte Einführung (Springer-Lehrbuch) (German Edition)

Diese kompakte Einführung in die Theoretische Informatik stellt die wichtigsten Modelle für zentrale Probleme der Informatik vor. Dabei werden u. a. folgende Fragestellungen behandelt: Welche Probleme sind algorithmisch lösbar? (Theorie der Berechenbarkeit und Entscheidbarkeit) Wie schwierig ist es algorithmische Probleme zu lösen?

Web Reasoning and Rule Systems: 8th International Conference, RR 2014, Athens, Greece, September 15-17, 2014. Proceedings (Lecture Notes in Computer Science)

This booklet constitutes the refereed complaints of the eighth foreign convention on internet Reasoning and Rule platforms, RR 2014, held in Athens, Greece in September 2014. The nine complete papers, nine technical communications and five poster shows awarded including three invited talks, three doctoral consortial papers have been rigorously reviewed and chosen from 33 submissions.

Advances in Computational Complexity Theory

This selection of fresh papers on computational complexity conception grew out of actions in the course of a distinct 12 months at DIMACS. With contributions via a number of the major specialists within the box, this booklet is of lasting worth during this fast-moving box, supplying expositions now not stumbled on somewhere else. even if aimed basically at researchers in complexity idea and graduate scholars in arithmetic or computing device technological know-how, the booklet is obtainable to somebody with an undergraduate schooling in arithmetic or desktop technology.

Additional resources for A first course in coding theory, 1st Edition

Example text

Abramsky. Interaction Categories and communicating sequential processes. In A. W. Roscoe, editor, A Classical Mind: Essays in Honour of C. A. R. Hoare, pages 1-15. Prentice Hall International, 1994. 5. S. Abramsky. Proofs as processes. Theoretical Computer Science, 135:5-9, 1994. 6. S. Abramsky. Interaction Categories I: Synchronous processes. Paper in preparation, 1995. 7. S. Abramsky and R. Jagadeesan. Games and full completeness for multiplicative linear logic. Journal of Symbolic Logic, 59(2):543 - 574, June 1994.

The global state graph of a concurrent system with n individual processes can be of size exponential in n. A variety of strategies for ameliorating this state explosion problem, including symbolic model checking and state reduction techniques, have been explored in the literature and remain a topic, of current research interest (cf. [Ku94]). In the case of testing satisfiability, for the rather simple logic CTL, a tableau construction suffices to obtain the Small Model Theorem, which asserts that any satisfiable formula f has a "small" (exponential size) model M; exponential time decidability follows.

F, ~ f (a,b! f, A f (a,b! ~ A f' Both of these functors are monads. Full details can be found elsewhere [1, 6, 18]. A~Vroc The theory of interaction categories is not restricted to the synchronous model of concurrency which underliew the category SProc. There is also a category of asynchronous processes, ~ r o c , which we will now define. In this context, asynchrony means the capacity to delay; in particular, an asynchronous process can delay in some of its ports while performing observable actions in others.

Download PDF sample

Rated 4.03 of 5 – based on 24 votes