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Security Analysis of DBTRU Cryptosystem.

Xiaofei Tong1,2,3, Jingguo Bi1,3, Yufei Duan1

  • 1School of Cyberspace Security, Beijing University of Posts and Telecommunications, Beijing 100876, China.

Entropy (Basel, Switzerland)
|July 8, 2023
PubMed
Summary
This summary is machine-generated.

A new linear algebra attack breaks the DBTRU cryptosystem, a variant of NTRU. This attack can recover plaintexts in under one second on a standard PC, impacting its security for all recommended parameters.

Keywords:
DBTRUNTRUlattice-based attackslinear algebra attackpublic key cryptosystem

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Area of Science:

  • Cryptography
  • Computer Science
  • Number Theory

Background:

  • DBTRU (Diem-Bui-Thang-Rousseau-U) is a public-key cryptosystem proposed in 2015.
  • It is a variant of the NTRU cryptosystem, utilizing binary truncated polynomial rings.
  • DBTRU offers potential advantages in security and performance over NTRU.

Purpose of the Study:

  • To introduce a novel polynomial-time linear algebra attack against the DBTRU cryptosystem.
  • To demonstrate the vulnerability of DBTRU to this specific attack.
  • To evaluate the practical feasibility of breaking DBTRU using common computing resources.

Main Methods:

  • The study employs a polynomial-time linear algebra attack.
  • The attack targets the mathematical structure of the DBTRU cryptosystem.
  • Computational experiments were conducted on a single PC.

Main Results:

  • The proposed linear algebra attack successfully breaks the DBTRU cryptosystem.
  • The attack is effective for all recommended parameter choices of DBTRU.
  • Plaintext recovery was achieved in less than one second on a single PC.

Conclusions:

  • The DBTRU cryptosystem is vulnerable to the presented linear algebra attack.
  • The efficiency of the attack renders DBTRU insecure for practical applications.
  • Further research is needed to develop more secure variants or alternative cryptosystems.