Publikation: Elliptic Curves and Their Application in Key-Exchange Cryptography
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2018
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Titel in einer weiteren Sprache
Publikationstyp
Bachelorarbeit
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Zusammenfassung
In this Bachelor's thesis, we introduce elliptic curves over the field of real numbers and finite fields and present numerical methods for mathematical calculations over these. Furthermore, we establish the discrete logarithm problem and analyze various key-exchange crypto-systems in terms of their security. In particular, the Diffie-Hellman key-exchange, the Massey-Omura key-exchange and the ElGamal key-exchange are considered.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Elliptic Curve, Key-Exchange, Cryptography, Discrete Logarithm
Konferenz
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ISO 690
HESS, Sarah, 2018. Elliptic Curves and Their Application in Key-Exchange Cryptography [Bachelor thesis]. Konstanz: Universität KonstanzBibTex
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<dcterms:abstract xml:lang="eng">In this Bachelor's thesis, we introduce elliptic curves over the field of real numbers and finite fields and present numerical methods for mathematical calculations over these. Furthermore, we establish the discrete logarithm problem and analyze various key-exchange crypto-systems in terms of their security. In particular, the Diffie-Hellman key-exchange, the Massey-Omura key-exchange and the ElGamal key-exchange are considered.</dcterms:abstract>
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Prüfungsdatum der Dissertation
Hochschulschriftenvermerk
Konstanz, Universität Konstanz, Bachelorarbeit, 2018
Finanzierungsart
Kommentar zur Publikation
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Corresponding Authors der Uni Konstanz vorhanden
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Universitätsbibliographie
Ja
