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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Cyclic Codes,he definition of Aut(.) is extended by replacing permutation matrices by monomial matrices, i.e. matrices for which the nonzero entries correspond to a permutation matrix. In both cases we are interested in the group of permutations. In this chapter we shall study linear codes for which the automorp

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Perfect Codes and Uniformly Packed Codes,early everything can be done (with a little more work) for arbitrary fields F.. In the course of time many ways of studying perfect codes and related problems have been developed. The algebraic approach which will be discussed in the next section is perhaps the most elegant one. We start with a comp

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Asymptotically Good Algebraic Codes,e in for a disappointment. The Hadamard codes of Section 4.1 have . = 1/2 and if . → ∞ their rate . tends to 0. For Hamming codes . tends to 1 but . tends to 0. For BCH codes we also find . → 0 if we fix the rate. For all examples of codes which we have treated an explicitly defined sequence of thes

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Convolutional Codes, constant length. Although there are analogies and connections to block codes there is one big difference, namely that the mathematical theory of convolutional codes is not well developed. This is one of the reasons that mathematicians find it difficult to become interested in these codes.

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Adjourn

J. H. van Lintthe British empire. There are numerous examples of colonists falling out with their metropolitan brethren over a wide range of economic and political issues, but it is nevertheless clear that many attitudes, assumptions and ideals at the periphery were broadly similar to those in the metropolis. Thi

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J. H. van Lintempire, much attention has been devoted to examinations of the ways in which Britain’s overseas presence was shaped by dominant metropolitan gentry values, assumptions, tastes and fashions. Many of the social and cultural forces within metropolitan society that were identified in Chapter 3 as emanat

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J. H. van Lintempire, much attention has been devoted to examinations of the ways in which Britain’s overseas presence was shaped by dominant metropolitan gentry values, assumptions, tastes and fashions. Many of the social and cultural forces within metropolitan society that were identified in Chapter 3 as emanat