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ysu1348847698.pdf (437.28 KB)
ETD Abstract Container
Abstract Header
The Elliptic Curve Group Over Finite Fields: Applications in Cryptography
Author Info
Lester, Jeremy W.
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=ysu1348847698
Abstract Details
Year and Degree
2012, Master of Science in Mathematics, Youngstown State University, Department of Mathematics and Statistics.
Abstract
It is the intent of this thesis to study the mathematics, and applications behind the elliptic curve group over Fp. Beginning with the definition of the '+' operation,under which the points on the elliptic curves form an abelian group. Then moving to a brief introduction to both public, and private key cryptography. This will lead into an explanation of the discrete logarithm problem along with an implementation using the elliptic curve group over Fp. This thesis will conclude with an exploration Lenstra's factoring algorithm using the elliptic curve group.
Committee
Jacek Fabrykowski, Ph.D. (Advisor)
Neil Flowers, Ph.D. (Committee Member)
Thomas Smotzer, Ph.D. (Committee Member)
Pages
36 p.
Keywords
Elliptic Curve Group
;
Cryptography
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Citations
Lester, J. W. (2012).
The Elliptic Curve Group Over Finite Fields: Applications in Cryptography
[Master's thesis, Youngstown State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1348847698
APA Style (7th edition)
Lester, Jeremy.
The Elliptic Curve Group Over Finite Fields: Applications in Cryptography.
2012. Youngstown State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=ysu1348847698.
MLA Style (8th edition)
Lester, Jeremy. "The Elliptic Curve Group Over Finite Fields: Applications in Cryptography." Master's thesis, Youngstown State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1348847698
Chicago Manual of Style (17th edition)
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Document number:
ysu1348847698
Download Count:
480
Copyright Info
© 2012, all rights reserved.
This open access ETD is published by Youngstown State University and OhioLINK.