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Randomized Oblivious Transfer for Secure Multiparty Computation in the Quantum Setting.

Bruno Costa1,2, Pedro Branco1,3, Manuel Goulão1,3

  • 1Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal.

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Summary
This summary is machine-generated.

This study introduces efficient randomized oblivious transfer protocols for secure multi-party computation. These protocols enhance scalability by reducing the number of required oblivious transfers, a key bottleneck in large-scale implementations.

Keywords:
oblivious transferpost-quantum cryptographyquantum cryptographyuniversal composability

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Area of Science:

  • Cryptography
  • Quantum Computing
  • Secure Multi-Party Computation

Background:

  • Secure computation enables distrusting parties to evaluate functions securely.
  • Oblivious transfer (OT) is fundamental to secure multi-party computation (MPC).
  • OT instances scale with circuit size, posing a bottleneck for large-scale MPC.

Purpose of the Study:

  • To present efficient randomized oblivious transfer (ROT) protocols.
  • To enhance the scalability of secure multi-party computation.
  • To prove the security of these protocols in the quantum universal composability framework.

Main Methods:

  • Developed randomized versions of two existing oblivious transfer protocols.
  • One protocol is quantum, the other is post-quantum based on the ring learning with errors (Ring-LWE) assumption.
  • Proved security within the quantum universal composability (QUC) framework using a common reference string (CRS) model.

Main Results:

  • Introduced two novel randomized oblivious transfer protocols.
  • Demonstrated the security of these protocols in the QUC-CRS model.
  • Provided efficient methods to extend a small number of OT instances into a larger set.

Conclusions:

  • The presented ROT protocols offer efficient solutions for large-scale secure multi-party computation.
  • Security proofs in the QUC framework ensure robustness against quantum adversaries.
  • These advancements address the scalability bottleneck in OT-based MPC.