Elliptic Curves and Their Application in Key-Exchange Cryptography

Hess, Sarah

Elliptic Curves and Their Application in Key-Exchange Cryptography

Dateien

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Datum

2018

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Bachelorarbeit

Publikationsstatus

Published

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Elliptic Curve, Key-Exchange, Cryptography, Discrete Logarithm

Zitieren

ISO 690

HESS, 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

Universitätsbibliographie

Ja