Titlebook: Introduction to Coding Theory; J. H. Lint Textbook 19922nd edition Springer-Verlag Berlin Heidelberg 1992 code.coding.coding theory.discre

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https://doi.org/10.1007/978-3-662-00174-5code; coding; coding theory; discrete mathematics; combinatorics

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Textbook 19922nd editione mathematics-a field that is still growing in importance as the need for mathematicians and computer scientists in industry continues to grow. The body of the book consists of two parts: a rigorous, mathematically oriented first course in coding theory followed by introductions to special topics. T

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0072-5285 of discrete mathematics-a field that is still growing in importance as the need for mathematicians and computer scientists in industry continues to grow. The body of the book consists of two parts: a rigorous, mathematically oriented first course in coding theory followed by introductions to special

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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]).

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Bounds on Codes,.:= (. ? 1)/.. Notation is as in Section 3.1. We assume . has been chosen and then define an (., *, .) code as a code with length . and minimum distance .. 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 ..

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