## Elliptic Curves and Their Application in Key-Exchange Cryptography

2018
##### Open Access-VerÃ¶ffentlichung
Open Access Green
Bachelorarbeit
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.

510 Mathematik
##### SchlagwÃ¶rter
Elliptic Curve, Key-Exchange, Cryptography, Discrete Logarithm
##### Zitieren
ISO 690HESS, Sarah, 2018. Elliptic Curves and Their Application in Key-Exchange Cryptography [Bachelor thesis]. Konstanz: UniversitÃ¤t Konstanz
BibTex
@mastersthesis{Hess2018Ellip-60020,
year={2018},
title={Elliptic Curves and Their Application in Key-Exchange Cryptography},
school={UniversitÃ¤t Konstanz},
author={Hess, Sarah}
}
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##### Hochschulschriftenvermerk
Konstanz, UniversitÃ¤t Konstanz, Bachelorarbeit, 2018
Ja