Cryptanalysis of GiophantusTM Schemes against Hybrid Attack

Yuntao Wang, Yasuhiko Ikematsu, Koichiro Akiyama, Tsuyoshi Takagi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The hybrid attack was proposed by Howgrave-Graham in CRYPTO2007, which was originally designed for the cryptanalysis of NTRU cryptosystems. In this paper, based on Howgrave-Graham's attack model, we propose a simulator of hybrid attack to evaluate the hardness of the unique shortest vector problem. By a dynamical computation, our algorithm can trade off the cost between reduction and MitM, while both of them run in exponential time. Further, we adapt our simulator to Giophantus™, Giophantus+ and Giophantus-cryptosystems, proposed by Akiyama et al. in SAC2017, SCIS2019 and SCIS2020, respectively. Our analysis shows that by the hybrid attack, the security levels can be reduced by at most 19 bits for Giophantus' parameters proposed in NIST Post Quantum Cryptography (PQC) standardization 1st round submission. Meanwhile, the parameter sets of Giophantus+ and Giophantus-are secure against the hybrid attack.

Original languageEnglish
Title of host publicationAPKC 2020 - Proceedings of the 7th ACM Workshop on ASIA Public-Key Cryptography, Co-located with AsiaCCS 2020
PublisherAssociation for Computing Machinery, Inc
Pages28-35
Number of pages8
ISBN (Electronic)9781450376075
DOIs
Publication statusPublished - Oct 5 2020
Event7th ACM Workshop on Asia Public-Key Cryptography, APKC 2020, held in conjunction with the 15th ACM ASIA Conference on Computer and Communications Security, ACM ASIACCS 2020 - Taipei, Taiwan, Province of China
Duration: Oct 6 2020 → …

Publication series

NameAPKC 2020 - Proceedings of the 7th ACM Workshop on ASIA Public-Key Cryptography, Co-located with AsiaCCS 2020

Conference

Conference7th ACM Workshop on Asia Public-Key Cryptography, APKC 2020, held in conjunction with the 15th ACM ASIA Conference on Computer and Communications Security, ACM ASIACCS 2020
CountryTaiwan, Province of China
CityTaipei
Period10/6/20 → …

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Computer Science Applications
  • Information Systems
  • Software

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