Packed leveled fully homomorphic signatures from ideal lattices

Fully homomorphic signature (FHS) schemes allow users to cryptographically verify the results of arbitrary computation on their signed data by an untrusted server. In a leveled scheme, the maximal circuit depth d of the computation must be fixed during setup. More concretely, a user Alice signs a large dataset {x₁,....,xN} yielding short signatures {[sigma]₁,....,[sigma]N}. She then sends the signed dataset to Bob, an untrusted party, who will perform some computation y = g(x₁,....,xN). Bob will then homomorphically derive a new short signature [sigma][subscript g,y], such that anyone with Alice's verification key can verify the correctness of the computation without the underlying dataset. In this work, we modify a previous FHS scheme [GVW15] by basing our solution on the hardness of the ring small integer solution problem (Ring-SIS) in ideal lattices. Working in this ring setting allows for shorter signatures, smaller key sizes, and more ecient computation.

Name thesis:degree_name

Master

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

2018

Author dc:creator

• Shaar, Daniel.

Advisor dc:contributor.advisor

• Vinod Vaikuntanathan.

• Electrical Engineering and Computer Science.

Statement dc:rights

• MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission.

Licence dc:rights.uri

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

Language dc:language.iso

eng

Handle dc:identifier.uri

https://hdl.handle.net/1721.1/121640

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/121640