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Catalogue Information
Field name
Details
Dewey Class
519
Title
Coding Theory ([EBook] /) / by Jacobus H. van Lint.
Author
Lint, Jacobus H. van
Other name(s)
SpringerLink (Online service)
Edition statement
2nd Edition.
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg, , 1973.
Physical Details
X, 142 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 201
ISBN
9783540366577
Summary Note
These lecture notes are the contents of a two-term course given by me during the 1970-1971 academic year as Morgan Ward visiting professor at the California Institute of Technology. The students who took the course were mathematics seniors and graduate students. Therefore a thorough knowledge of algebra. (a. o. linear algebra, theory of finite fields, characters of abelian groups) and also probability theory were assumed. After introducing coding theory and linear codes these notes concern topics mostly from algebraic coding theory. The practical side of the subject, e. g. circuitry, is not included. Some topics which one would like to include 1n a course for students of mathematics such as bounds on the information rate of codes and many connections between combinatorial mathematics and coding theory could not be treated due to lack of time. For an extension of the course into a third term these two topics would have been chosen. Although the material for this course came from many sources there are three which contributed heavily and which were used as suggested reading material for the students. These are W. W. Peterson's Error-Correcting Codes «(15]), E. R. Berlekamp's Algebraic Coding Theory «(5]) and several of the AFCRL-reports by E. F. Assmus, H. F. Mattson and R. Turyn ([2], (3), [4] a. o. ). For several fruitful discussions I would like to thank R. J. McEliece.:
Contents note
Linear codes -- Cyclic codes -- Important cyclic codes -- Perfect codes -- Weight enumeration.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-540-36657-7
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Engineering mathematics
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Mathematics
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Authors:
Lint, Jacobus H. van
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
519
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