Vulnerable Public Keys in NTRU Cryptosystem

Citation:

Liqing XU,Hao CHEN,Chao LI,Longjiang QU.Vulnerable Public Keys in NTRU Cryptosystem[J].Chinese Annals of Mathematics B,2020,41(5):657~664
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Authors:

Liqing XU; Hao CHEN;Chao LI;Longjiang QU

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos. 11531002,61722213, 61572026) and by the Major Program of Guangdong Basic and Applied Research (No.2019B030302008).
Abstract: In this paper the authors give an efficient bounded distance decoding (BDD for short) algorithm for NTRU lattices under some conditions about the modulus number q and the public key h. They then use this algorithm to give plain-text recovery attack to NTRUEncrypt and forgery attack on NTRUSign. In particular the authors figure out a weak domain of public keys such that the recent transcript secure version of NTRU signature scheme NTRUMLS with public keys in this domain can be forged.

Keywords:

Lattice, CVP, NTRU Lattice

Classification:

11H06, 52C07
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