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Codierungstheorie

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Brand
Springer Nature
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N/A
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0
GTIN
9783528031978
Condition
New
Product Description

Beginnend mit der Fragestellung nach zuverlssiger Datenbertragung wird die elementare lineare Codierungstheorie dargestellt. Insbesondere wird das Problem der Konstruktion von optimalen Codes herausgearbeitet. Dieses anspruchsvolle Problem wird mit Mitteln der algebraischen Geometrie gelst. Das Buch liefert einen schnellen elementaren Zugang zu den algebraischen Kurven und fhrt den Leser an die grundlegenden Stze von Bezout und Riemann-Roch heran. Weiterhin werden klassische Fragen von E. Artin und A. Weil ber die Zetafunktion eines algebraischen Funktionenkrpers ebenfalls vollstndig behandelt. Auerdem werden algebraische Kurven ber endlichen Krpern mit vielen rationalen Punkten konstruiert. Nach der mehr theoretischen Lsung des Problems optimaler Codes wird abschlieend der algorithmische Zugang von der Codierung bis zur Decodierung behandelt.

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