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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Quantum Misuse Attack on Frodo.

Yaru Wang1, Haodong Jiang1, Zhi Ma1

  • 1State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou 450001, China.

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

This study enhances the security analysis of lattice-based FrodoPKE against quantum attacks. A novel quantum key recovery algorithm significantly reduces necessary queries for breaking FrodoPKE encryption.

Keywords:
Frodolattice-based cryptographylearning with problemquantum algorithmquantum misuse attack

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Area of Science:

  • Cryptography
  • Quantum Computing
  • Information Security

Background:

  • Lattice-based cryptography is crucial for post-quantum cryptography standardization.
  • Existing research analyzed misuse attacks on NIST PQC submissions.
  • FrodoPKE is a prominent lattice-based public-key encryption scheme.

Purpose of the Study:

  • To analyze the security of FrodoPKE against quantum key recovery under chosen ciphertext attacks (CCA).
  • To develop an improved quantum algorithm for breaking LWE-based cryptosystems.
  • To reassess FrodoPKE's security in light of advancements in quantum cryptanalysis.

Main Methods:

  • Review of meta-cryptosystem and quantum algorithms for learning with error (LWE) problems.
  • Analysis of discrete Gaussian noise distribution and recomputation of quantum LWE success probability using Hoeffding bound.
  • Development of a quantum key recovery algorithm based on LWE under CCA attack.

Main Results:

  • A new quantum key recovery algorithm for FrodoPKE is presented.
  • The success probability for quantum LWE is recomputed considering discrete Gaussian noise.
  • The proposed method reduces the number of queries from 22 to 1 compared to prior work, maintaining the same success probability.

Conclusions:

  • FrodoPKE's security against quantum CCA attacks is significantly weakened by the new algorithm.
  • The research highlights the vulnerability of certain lattice-based schemes to sophisticated quantum attacks.
  • Further research is needed to develop more robust post-quantum cryptographic solutions.