Der Fiat-Shamir-Algorithmus: Ein Zero-Knowledge Protokoll

Name: Der Fiat-Shamir-Algorithmus: Ein Zero-Knowledge Protokoll
Brand: Grin Verlag
SKU: 9783656606710
Price: 1887.0 INR
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by Maximilian Eckel

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ISBN13: 9783656606710
Binding: Paperback
Subject: N/A
Publisher: Grin Verlag
Publisher Imprint: Grin Verlag
Publication Date: March 31, 2014
Pages: 22
Original Price: USD 22.5
Language: German
Edition: N/A
Item Weight: 41 grams
BISAC Subject(s): General

About The Book

Studienarbeit aus dem Jahr 2010 im Fachbereich Didaktik - Mathematik, Note: 0,7, Veranstaltung: Wissenschaftsprop�deutisches Seminar, Sprache: Deutsch, Abstract: In nahezu allen Bereichen des menschlichen Lebens gibt es immer wieder problematische Situationen, die durch reine �berzeugungskraft nicht gel�st werden k�nnen. Besonders wenn diese im Zusammenhang mit geheimen Informationen auftreten, gewinnen alternative Vorgehensweisen an Bedeutung. Ein derartiges Problem kann zum Beispiel das Bewahren eines Geheimnisses unter folgender Fragestellung darstellen: "Wie beweise ich, dass ich ein Geheimnis besitze, ohne Informationen �ber das Geheimnis selbst preiszugeben?" Hierbei handelt es sich auch um die zu Grunde liegende Thematik, mit der sich Zero-Knowledge-Beweise auseinandersetzen. Ein beliebtes Beispiel f�r ein Zero-Knowledge Verfahren arbeitet mit der Isomorphie von Graphen. Der gro e Nachteil an solchen Beweissystemen ist allerdings, dass sie einen relativ hohen Speicherplatzbedarf haben und nicht effizient genug berechenbar sind. F�r praktische Anwendungen wie Chipkarten wird daher bevorzugt der 1986 von Amos Fiat und Adi Shamir vorgestellte Fiat-Shamir Algorithmus benutzt. �hnlich wie bei dem Public-Key Verfahren von Rivest, Shamir und Adleman (RSA-Verfahren), beruht dieser Algorithmus auf der Problematik, dass es nicht in polynomialer Zeit, also einem realistischen Zeitrahmen, m�glich ist eine Quadratwurzel Modulo n zu ziehen, falls die Zahl n ein Produkt zweier gro er Primzahlen und damit schwer zu faktorisie�ren ist. Inhaltsangabe: 1. Einleitung 2. Interaktive Zero-Knowledge Beweise 2.1 Interaktive Beweissysteme 2.2 Zero-Knowledge Beweise 3. Die Magische T�r 4. Der Fiat-Shamir Algorithmus 4.1 Schl�sselerzeugung 4.2 Anwendungsphase 4.3 Rechenbeispiel 5. Man in the middle - Problem 6. Anwendungsm�glichkeiten 7. Anhang 7.1 Verwendete Variablen 7.2 Abbildungsverzeichnis 7.3 Literaturverzeichnis

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