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Coset Leader -

English
2010-09-09
โ‚ฌ197.46 โ‚ฌ282.08

-30% with code BOOKS

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the field of coding theory, a coset leader is defined as a word of minimum weight in any particular coset - that is, a word with the lowest amount of non-zero entries. Sometimes there are several words of equal minimum weight in a coset, and in that case, any one of those words ... Full description

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Description

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the field of coding theory, a coset leader is defined as a word of minimum weight in any particular coset - that is, a word with the lowest amount of non-zero entries. Sometimes there are several words of equal minimum weight in a coset, and in that case, any one of those words may be chosen to be the coset leader. Coset leaders are used in the construction of a standard array for a linear code, which can then be used to decode received vectors. For a received vector y, the decoded message is y - e, where e is the coset leader of y. Coset leaders can also be used to construct a fast decoding strategy. For each coset leader u we calculate the syndrome uHยฟ. When we receive v we evaluate vHยฟ and find the matching syndrome. The corresponding coset leader is the most likely error pattern and we assume that v+u was the codeword sent.

More Information

Publisher OmniScriptum
Release year 2010
Cover type Softcover
EAN 9786132957436
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โ‚ฌ197.46 โ‚ฌ282.08