Titlebook: Introduction to Coding Theory; J. H. Lint Textbook 1999Latest edition Springer-Verlag Berlin Heidelberg 1999 Shannon.code.coding theory.er

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J. H. van Lintst of them are educated at the master’s level or higher. The MBA is the dominant form of education within the business elite. Among the top leaders in public sector law, economics, MBAs and political science degrees are prevalent. Most people holding elite positions have greater personal wealth than

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the 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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Mathematical Background,s play a r?le. The most important one is certainly algebra but the reader must also know some facts from elementary number theory, probability theory and a number of concepts from combinatorial theory such as designs and geometries. In the following sections we shall give a brief survey of the prere

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,Shannon’s Theorem,n feature that information coming from some source is transmitted over a noisy communication channel to a receiver. Examples are telephone conversations, storage devices like magnetic tape units which feed some stored information to the computer, telegraph, etc. The following is a typical recent exa

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microscopic

Some Good Codes,wo rows of a Hadamard matrix differ in half of the positions we have constructed an (., 2.,..) code. For . = 8 this is an extended Hamming code. For . = 32 the code is the one used by Mariner 1969 which was mentioned in Section 2.1. In general these codes are called ..

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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 .. 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 compl