Publikation:

Elliptic Curves and Their Application in Key-Exchange Cryptography

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2018

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Publikationstyp
Bachelorarbeit
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Published

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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

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ISO 690HESS, Sarah, 2018. Elliptic Curves and Their Application in Key-Exchange Cryptography [Bachelor thesis]. Konstanz: Universität Konstanz
BibTex
@mastersthesis{Hess2018Ellip-60020,
  year={2018},
  title={Elliptic Curves and Their Application in Key-Exchange Cryptography},
  address={Konstanz},
  school={Universität Konstanz},
  author={Hess, Sarah}
}
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Hochschulschriftenvermerk
Konstanz, Universität Konstanz, Bachelorarbeit, 2018
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