Attacks on multilinear maps

In this thesis, I explore the current multilinear map candidates and attacks against them. This involves analyzing the three proposals for multilinear maps which are based on ideal lattices, integers, and standard lattices. The attacks exploit the geometry of the lattices and linearity of the integers to break security. I also compare the applications of these schemes with what is required for attacks. Key agreement seems to need certain features of multilinear maps which expose vulnerabilities while other applications like indistinguishability obfuscation. I analyze the attacks against these maps and show why they are not able to break the program obfuscation application of multilinear maps.

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2015

Author dc:creator

• Cyr, William (William B.)

Advisor dc:contributor.advisor

• Vinod Vaikuntanathan.

• Electrical Engineering and Computer Science.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/100302

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/100302