NDLI: Lattice signatures using NTRU on the hardness of worst-case ideal lattice problems

Content Provider	IET Digital Library
Author	Das, Dipayan Saraswat, Vishal Basu, Kajla
Abstract	Recently, lattice signatures based on the Fiat-Shamir framework have seen a lot of improvements which are efficient in practice. The security of these signature schemes depends mainly on the hardness of solving short integer solutions (SIS) and/or learning with errors problem in the random oracle model. The authors propose an alternative lattice-based signature scheme on the Fiat-Shamir framework over the ring Z [ x ] / ( x n + 1 ) . The key generation in the signature scheme is based on the combination of NTRU and Ring SIS like key generation. Both the signature and the verification are done efficiently by doing polynomial convolutions in the ring Z [ x ] / ( x n + 1 ) . The proposed signature scheme is provably secure based on the hardness of the Ring SIS problem in the random oracle model. The scheme is also efficient up to constant factors as the highly practical schemes which have provable secure instantiation.
Starting Page	496
Ending Page	504
Page Count	9
ISSN	17518709
Volume Number	14
e-ISSN	17518717
Issue Number	Issue 5, Sep (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-ifs/14/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-ifs.2019.0580
Journal	IET Information Security
Publisher Date	2020-03-06
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Alternative Lattice-based Signature Scheme Cryptography Data Security Digital Signatures Error Problem Fiat-Shamir Framework Highly Practical Scheme Interpolation And Function Approximation Key Generation Lattice Signatures NTRU Numerical Analysis Polynomial Public Key Cryptography Random Oracle Model Ring SIS Problem Short Integer Solutions Worst case Ideal Lattice Problem
Content Type	Text
Resource Type	Article
Subject	Computer Networks and Communications Information Systems Software

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