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Approximative Public-Key-Kryptosysteme

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Springer Nature
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N/A
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GTIN
9783540509042
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New
Product Description

In der vorliegenden Arbeit werden die Einsatzmglichkeiten approximativer Verfahren fr Public-Key-Kryptosysteme untersucht. Dazu werden in einer allgemeinverstndlichen Einleitung die notwendigen Grundlagen erarbeitet. Im Anschlu daran werden Resultate ber eine reellwertige Approximation periodischer und nichtperiodischer Funktionen fr Verschlsselungssysteme mit ffentlichem Schlssel entwickelt. Weiterhin werden die kryptologischen Eigenschaften rationaler Zahlen untersucht. Diese flieen in die Entwicklung eines neuen Konzeptes fr ein Public-Key-Kryptosystem ein, die Public-Key-Hill-Chiffre, die auch digitale Unterschriften zult. Zur Abrundung der Thematik werden weitere Anwendungen in verwandten Gebieten dargestellt: die exakte Arithmetik mit rationalen Zahlen auf der Basis von Gleitkommazahlen und ein neuer Ansatz fr Faktorisierungsalgorithmen. Damit ist das zentrale Ergebnis die Benutzung rationaler Zahlen in Public-Key-Kryptosystemen, die eine neue Forschungsrichtung innerhalb der Kryptologie erffnen knnte. Der fachkundige Leser erhlt Informationen ber neue Forschungsanstze und Methoden in der Kryptologie, fachfremde Leser erhalten einen guten berblick ber die Problemstellung der Entwicklung neuer Public-Key-Kryptosysteme.

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