An algebraic broadcast attack against NTRU

Authors:
Jintai Ding;Yanbin Pan;Yingpu Deng
Affiliations:
Chongqing University, China, Department of Mathematical Sciences, University of Cincinnati;Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, China;Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, China
Venue:
ACISP'12 Proceedings of the 17th Australasian conference on Information Security and Privacy
Year:
2012

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Abstract

In this paper, we propose an algebraic broadcast attack against NTRU, which recovers a single message encrypted multiple times using different NTRU public keys. Namely, when a message is broadcasted, under some reasonable assumptions, our attack can be completed in polynomial time and space. To the best of our knowledge, this is the first successful broadcast attack against NTRU.