@inbook{bb1b9aa5289748058de3c4aaf4e5e216,

title = "NTRUCCA: How to strengthen NTRUEncrypt to chosen-ciphertext security in the standard model",

abstract = "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, Stehl{\'e} 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.",

author = "Ron Steinfeld and San Ling and Josef Pieprzyk and Christophe Tartary and Huaxiong Wang",

year = "2012",

doi = "10.1007/978-3-642-30057-8_21",

language = "English",

isbn = "9783642300561",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer, Springer Nature",

pages = "353--371",

editor = "Marc Fischlin and Johannes Buchmann and Mark Manulis",

booktitle = "Public Key Cryptography, PKC 2012 - 15th International Conference on Practice and Theory in Public Key Cryptography, Proceedings",

address = "United States",

note = "15th International Conference on Practice and Theory in Public Key Cryptography, PKC 2012 ; Conference date: 21-05-2012 Through 23-05-2012",

}