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Boston, Nigel Kuhlman, Douglas Andrew 2015-09-28T15:20:32Z 2015-09-28T15:20:32Z 10000-01-01 2000 2000 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. Made available in DSpace on 2015-09-28T15:20:32Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9971116.pdf: 3703890 bytes, checksum: 59691b1f1e5b715607e002206517741b (MD5) Previous issue date: 2000 Embargo set by: Seth Robbins for item 88276 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 73 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000. http://hdl.handle.net/2142/86995 (MiAaPQ)AAI9971116 eng Mathematics On the Orders of Jacobians of Hyperelliptic Curves text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.