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Title:On the Orders of Jacobians of Hyperelliptic Curves
Author(s):Kuhlman, Douglas Andrew
Doctoral Committee Chair(s):Boston, Nigel
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:Along the way, we discuss algorithms to efficiently perform group operations in Jacobians of hyperelliptic curves and methods of finding their orders. We conclude by generalizing some heuristics from the case of genus 1 to genus 2 and beyond.
Issue Date:2000
Type:Text
Language:English
Description:73 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.
URI:http://hdl.handle.net/2142/86995
Other Identifier(s):(MiAaPQ)AAI9971116
Date Available in IDEALS:2015-09-28
Date Deposited:2000


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