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Journal of Mathematical Cryptology

Managing Editor: Magliveras, Spyros S. / Steinwandt, Rainer / Trung, Tran

Editorial Board Member: Blackburn, Simon R. / Blundo, Carlo / Burmester, Mike / Cramer, Ronald / Dawson, Ed / Gilman, Robert / Gonzalez Vasco, Maria Isabel / Grosek, Otokar / Helleseth, Tor / Kim, Kwangjo / Koblitz, Neal / Kurosawa, Kaoru / Lauter, Kristin / Lange, Tanja / Menezes, Alfred / Nguyen, Phong Q. / Pieprzyk, Josef / Rötteler, Martin / Safavi-Naini, Rei / Shparlinski, Igor E. / Stinson, Doug / Takagi, Tsuyoshi / Williams, Hugh C. / Yung, Moti

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Volume 9, Issue 2 (Jun 2015)

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Cryptanalysis of the MORE symmetric key fully homomorphic encryption scheme

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1Department of Mathematics, Bar-Ilan University, Ramat Gan 5290002; and Department of Mathematics, Weizmann Institute of Science, Rehovot 7610001, Israel

2Department of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel

Citation Information: Journal of Mathematical Cryptology. Volume 9, Issue 2, Pages 75–78, ISSN (Online) 1862-2984, ISSN (Print) 1862-2976, DOI: 10.1515/jmc-2014-0013, November 2014

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Publication History

Received:
2014-04-08
Accepted:
2014-10-28
Published Online:
2014-11-04

Abstract

The fully homomorphic symmetric encryption scheme MORE encrypts random keys by conjugation with a random invertible matrix over an RSA modulus. We provide a known-ciphertext cryptanalysis recovering a linear dependence among any pair of encrypted keys.

Keywords: Fully homomorphic encryption; symmetric key cryptography; conjugacy problem

MSC: 94A60

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