Elliptic Curves and Their Application in Key-Exchange Cryptography

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Hess_2-gulfjde9kdan6.pdf(2.48 MB)
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2018
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urn:nbn:de:bsz:352-2-gulfjde9kdan6
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Bachelor thesis
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Abstract
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.
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510 Mathematics
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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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Konstanz, Universität Konstanz, Bachelor thesis, 2018
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