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On the Use of Elliptic Curves in Public-Key Cryptography

Strobl, Christoph LU (2020) In Bachelor's Theses in Mathematical Sciences MATK11 20201
Mathematics (Faculty of Engineering)
Mathematics (Faculty of Sciences)
Abstract (Swedish)
Uppsatsen behandlar asymmetrisk kryptering över ändliga kropper och elliptiska kurver. Elliptiska kurver införs med hjälp av affint och projektivt rum. Uppsaten också ger en introduction till algoritmer som kan knäcka diskret logaritm problemet över kropper och elliptiska kurver.
Abstract
In this thesis, an introduction to public key cryptography over finite fields and elliptic curves is given. Elliptic curves are introduced using affine and projective spaces. The thesis also gives an introduction to algorithms that are able to break the discrete logarithm problem over finite fields and elliptic curves faster than an exhaustive search.
Please use this url to cite or link to this publication:
author
Strobl, Christoph LU
supervisor
organization
course
MATK11 20201
year
type
M2 - Bachelor Degree
subject
keywords
Elliptic Curves, Public-Key Cryptography, Index Calculus, Pohlig-Hellman, Diffie-Hellman Problem, Asymmetric Cryptography
publication/series
Bachelor's Theses in Mathematical Sciences
report number
LUNFMA-4104-2020
ISSN
1654-6229
other publication id
2020:K22
language
English
id
9030710
date added to LUP
2020-10-23 17:48:05
date last changed
2020-10-23 17:48:05
@misc{9030710,
  abstract     = {{In this thesis, an introduction to public key cryptography over finite fields and elliptic curves is given. Elliptic curves are introduced using affine and projective spaces. The thesis also gives an introduction to algorithms that are able to break the discrete logarithm problem over finite fields and elliptic curves faster than an exhaustive search.}},
  author       = {{Strobl, Christoph}},
  issn         = {{1654-6229}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Bachelor's Theses in Mathematical Sciences}},
  title        = {{On the Use of Elliptic Curves in Public-Key Cryptography}},
  year         = {{2020}},
}