@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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    <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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