NTRUCCA : how to strengthen NTRUEncrypt to chosen-ciphertext security in the standard model

Steinfeld, Ron, Ling, San, Pieprzyk, Josef, Tartary, Christophe, & Wang, Huaxiong (2012) NTRUCCA : how to strengthen NTRUEncrypt to chosen-ciphertext security in the standard model. Lecture Notes in Computer Science : Public Key Cryptography – PKC 2012, 7293, pp. 353-371.

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NTRUEncrypt is a fast and practical lattice-based public-key encryption scheme, which has been standardized by IEEE, but until recently, its security analysis relied only on heuristic arguments. Recently, Stehlé and Steinfeld showed that a slight variant (that we call pNE) could be proven to be secure under chosen-plaintext attack (IND-CPA), assuming the hardness of worst-case problems in ideal lattices. We present a variant of pNE called NTRUCCA, that is IND-CCA2 secure in the standard model assuming the hardness of worst-case problems in ideal lattices, and only incurs a constant factor overhead in ciphertext and key length over the pNE scheme. To our knowledge, our result gives the first IND-CCA2 secure variant of NTRUEncrypt in the standard model, based on standard cryptographic assumptions.

As an intermediate step, we present a construction for an All-But-One (ABO) lossy trapdoor function from pNE, which may be of independent interest. Our scheme uses the lossy trapdoor function framework of Peikert and Waters, which we generalize to the case of (k − 1)-of-k-correlated input distributions.

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3 citations in Scopus
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ID Code: 69695
Item Type: Journal Article
Refereed: Yes
Additional Information: 15th International Conference on Practice and Theory in Public Key Cryptography, Darmstadt, Germany, May 21-23, 2012. Proceedings
Keywords: Chosen-Ciphertext Security, Lossy Trapdoor Function, Lattice-based cryptography, NTRU, Ideal lattice, Provable security
DOI: 10.1007/978-3-642-30057-8_21
ISSN: 0302-9743
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2012 International Association for Cryptologic Research
Deposited On: 03 Apr 2014 01:24
Last Modified: 16 Jul 2014 22:03

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