Cryptology ePrint Archive: Report 2016/417

New Tools for Multi-Party Computation

Lisa Kohl

Abstract: In this work we extend the electronic voting scheme introduced by R. Cramer, R. Gennaro and B. Schoenmakers in [CGS97]. In the original paper the privacy of votes is based on the decisional Diffie-Hellman or respectively the higher residuosity assumption. Since both problems can be solved efficiently in the event of quantum computers, a desirable goal is to implement the voting scheme with privacy based on different assumptions. We present the framework and a concrete instantiation for an efficient solution with privacy based on learning with errors over rings. Additionally we show how to achieve privacy assuming hardness of worst-case lattice problems, which are well analyzed and conjectured to be secure against quantum computers.

Category / Keywords: cryptographic protocols / lattice-based cryptography, electronic voting, learning with errors, learning with errors over rings

Date: received 27 Apr 2016

Contact author: lisa kohl at kit edu

Available format(s): PDF | BibTeX Citation

Note: This work is the Master's thesis of Lisa Kohl. It was developed in the research group Cryptology at the Centrum Wiskunde & Informatica under the supervision of Ronald Cramer in cooperation with the research group Cryptography and IT Security at the Karlsruhe Institute of Technology under the supervision of Dennis Hofheinz.

Version: 20160501:131336 (All versions of this report)

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