High processing time and implementation complexity of the fully homomorphic
encryption schemes intrigued cryptographers to extend partially homomorphic
encryption schemes to allow homomorphic computation for larger classes of polynomials.
In this thesis, we study several public key and partially homomorphic schemes
and discuss a recent technique for boosting linearly homomorphic encryption schemes.
Further, we implement this boosting technique on CGS linearly homomorphic encryption
scheme to allow one single multiplication as well as arbitrary number of additions
on encrypted plaintexts. We provide MAGMA source codes for the implementation
of the CGS scheme along with the boosted CGS scheme. / Includes bibliography. / Thesis (M.S.)--Florida Atlantic University, 2017. / FAU Electronic Theses and Dissertations Collection
| Identifer | oai:union.ndltd.org:fau.edu/oai:fau.digital.flvc.org:fau_34574 |
| Contributors | Mithila, Shifat P. (author), Karabina, Koray (Thesis advisor), Florida Atlantic University (Degree grantor), Charles E. Schmidt College of Science, Department of Mathematical Sciences |
| Publisher | Florida Atlantic University |
| Source Sets | Florida Atlantic University |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation, Text |
| Format | 77 p., application/pdf |
| Rights | Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder., http://rightsstatements.org/vocab/InC/1.0/ |
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