NTRU Prime: reducing attack surface at low cost

Daniel J.  Bernstein; Chitchanok Chuengsatiansup; Tanja Lange; Christine van Vredendaal

Paper 2016/461

NTRU Prime: reducing attack surface at low cost

Daniel J. Bernstein, Chitchanok Chuengsatiansup, Tanja Lange, and Christine van Vredendaal

Abstract

Several ideal-lattice-based cryptosystems have been broken by recent attacks that exploit special structures of the rings used in those cryptosystems. The same structures are also used in the leading proposals for post-quantum lattice-based cryptography, including the classic NTRU cryptosystem and typical Ring-LWE-based cryptosystems. This paper (1) proposes NTRU Prime, which tweaks NTRU to use rings without these structures; (2) proposes Streamlined NTRU Prime, a public-key cryptosystem optimized from an implementation perspective, subject to the standard design goal of IND-CCA2 security; (3) finds high-security post-quantum parameters for Streamlined NTRU Prime; and (4) optimizes a constant-time implementation of those parameters. The resulting sizes and speeds show that reducing the attack surface has very low cost.

Metadata

Available format(s): PDF
Publication info: Published elsewhere. Major revision. SAC 2017, to appear
Keywords: post-quantum cryptography public-key encryption lattice-based cryptography ideal lattices NTRU Ring-LWE security Soliloquy Karatsuba software implementation vectorization fast sorting
Contact author(s): authorcontact-ntruprime @ box cr yp to
History: 2017-08-17: revised; 2016-05-13: received; See all versions
Short URL: https://ia.cr/2016/461
License: CC BY

BibTeX

@misc{cryptoeprint:2016/461,
      author = {Daniel J.  Bernstein and Chitchanok Chuengsatiansup and Tanja Lange and Christine van Vredendaal},
      title = {{NTRU} Prime: reducing attack surface at low cost},
      howpublished = {Cryptology {ePrint} Archive, Paper 2016/461},
      year = {2016},
      url = {https://eprint.iacr.org/2016/461}
}