Titlebook: Abstract Algebra; Structure and Applic David R. Finston,Patrick J. Morandi Textbook 2014 Springer International Publishing Switzerland 2014

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Raymond Unwin: The Education of an Urbanist,In this chapter we will build codes from quotient rings of .. One advantage of this construction will be that we can guarantee a certain degree of error correction. We first make a connection between words and elements of such a quotient ring.

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978-3-319-34395-2Springer International Publishing Switzerland 2014

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Some generalized nilpotent groups,tems in a grocery store, and books, to name three. One feature to all of these codes is the inclusion of an extra numerical digit, called a ., designed to detect errors in reading the code. When a machine (or a human) reads information, there is always the possibility of the information being read i

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Women Artisans Facing Obstaclessmitting information. However, they are limited in two ways. First, the types of errors detected are fairly restrictive, e.g. single digit errors or interchanging digits. Second, they provide no way to recover the intended information. Some more sophisticated ideas and mathematical concepts enable m

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https://doi.org/10.1007/978-3-8349-6163-1wo geometric figures are said to be congruent if one can be moved to coincide exactly with the other. We will be more precise below in our description of congruence, and investigating this notion will lead us to new examples of groups. The culmination of this discussion is the mathematical classific