Titlebook: Introduction to Coding Theory; J. H. Lint Textbook 19821st edition Springer Science+Business Media New York 1982 code.coding.coding theory

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BUST

Perfect Codes and Uniformly Packed Codes,recting code. The theorem was first proved by S. P. Lloyd (1957) (indeed for . 2) using analytic methods. Since then it has been generalized by many authors (cf. [44]) but it is still referred to as Lloyd’s theorem. The proof in this section is due to D. M. Cvetkovi? and J. H. van Lint (1977; cf. [17]).

Parameter

BOLUS

0072-5285 topic in the curriculum of most universities. On the other hand, it is obvious that discrete mathematics is rapidly growing in importance. The growing need for mathe- maticians and computer scientists in industry will lead to an increase in courses offered in the area of discrete mathematics. One o

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Linear Codes,mbols .., .., ..,... is coded into an infinite sequence of message symbols. For example, for rate 1/2 one could have .., .., ..,... → .., .., .., ..,..., where ... is a function of ..,.., ...,... For block codes we generalize (2.1.3) to arbitrary alphabets.

TRAWL

Bounds on Codes,nce .. We are interested in the maximal number of codewords (i.e. the largest . which can be put in place of the *). An (., ., .) code which is not contained in any (., . + 1, .) code is called maximal.

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Introduction to Coding Theory978-3-662-07998-0Series ISSN 0072-5285 Series E-ISSN 2197-5612