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Norton's theorem is a fundamental principle stating that a linear two-terminal circuit can be substituted with an equivalent circuit, which comprises a current source (ⅠN) in parallel with a resistor (RN). Here, ⅠN represents the short-circuit current flowing through the terminals, and RN stands for the input or equivalent resistance at the terminals when all independent sources are deactivated. This implies that the circuit illustrated in Figure (a) can be exchanged with the...
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Implementation and Optimization of Zero-Knowledge Proof Circuit Based on Hash Function SM3.

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This summary is machine-generated.

This study implements a zero-knowledge proof circuit for the SM3 hash function, crucial for blockchain privacy. The new design halves circuit size, enabling efficient privacy-preserving applications.

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Area of Science:

  • Cryptography
  • Blockchain Technology
  • Computer Science

Background:

  • Zero-knowledge proofs are vital for blockchain privacy, but implementing them for hash functions like SM3 is challenging due to efficiency and complexity.
  • Existing zero-knowledge proof circuits primarily support widely used hash functions like SHA256, leaving standards like SM3 underrepresented.

Purpose of the Study:

  • To address the lack of a zero-knowledge proof circuit for the SM3 hash function, a Chinese national standard.
  • To design and implement an efficient SM3 hash preimage zero-knowledge proof circuit.
  • To propose practical protocols utilizing the SM3 zero-knowledge proof circuit for blockchain applications.

Main Methods:

  • Analysis of the SM3 algorithm's process.
  • Design of a novel layered circuit structure for the SM3 hash function.
  • Implementation of the SM3 hash preimage zero-knowledge proof circuit.

Main Results:

  • A new layered circuit structure for SM3 zero-knowledge proofs was designed.
  • The SM3 hash preimage zero-knowledge proof circuit was successfully implemented.
  • The implemented circuit size was reduced by half compared to automatic generation methods.

Conclusions:

  • The developed SM3 zero-knowledge proof circuit offers improved efficiency for privacy-preserving applications in blockchain.
  • The implementation overcomes previous limitations in applying zero-knowledge proofs to the SM3 hash function.
  • The proposed extended protocols enhance the practical utility of SM3 zero-knowledge proofs in cryptographic systems.