Attacks on multilinear maps
Name
930711196-MIT.pdf
Description
Full printable version
Size
405.21 KB
Format
Adobe PDF
Checksum (MD5)
f279b68130665d9b9cbb944458253e36
Author(s)
Cyr, William (William B.)
Advisor(s)
Vinod Vaikuntanathan.
Alternative Title
Mmultilinear maps
Date Issued
2015
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis: M. Eng., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2015.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Title as it appears in MIT Commencement Exercises program, June 5, 2015: Mmultilinear maps. Cataloged from student-submitted PDF version of thesis.
Includes bibliographical references (pages 43-44).
Subjects
Electrical Engineering and Computer Science.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
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.
Persistent DSpace Link
