Constrained PRFs for Inner Product Predicates

This repository contains implementations of Constrained Pseudorandom Functions (CPRFs) for inner product predicates from this paper (to appear at AsiaCrypt 2024). It includes two different constructions: one based on random oracles and another based on the Decisional Diffie-Hellman (DDH) assumption. The implementation can be used to reproduce Tables 2 & 3 from the paper.

Code Organization

Directory	Description
ro-cprf/	Random oracle based CPRF construction
ddh-cprf/	DDH (Naor-Reingold) based CPRF construction

Prerequisites

• Go (version 1.20 or later)

Running Benchmarks

To run benchmarks for each implementation:

1. Choose the implementation you want to benchmark:

   • Random Oracle based: cd ro-cprf
   • DDH based: cd ddh-cprf

2. Run the benchmarks:

   go test -bench=.
   

Interpreting the Results

The benchmark results are presented in the following format:

BenchmarkEval/length=10-10                555568              2150 ns/op
BenchmarkEval/length=50-10                118142              9941 ns/op
BenchmarkEval/length=100-10                59997             19887 ns/op
BenchmarkEval/length=500-10                12088             97314 ns/op
BenchmarkEval/length=1000-10                5764            196743 ns/op

• length=X: Indicates the vector length used in the CPRF evaluation.
• -Y: Indicates number of benchmark iterations.
• Z ns/op: Represents the average time in nanoseconds it takes for a single CPRF evaluation operation.

For example, BenchmarkEval/length=100-10 60027 19896 ns/op means:

• Vector length: 100
• Benchmark iterations: 10
• Average time per evaluation: 19,896 nanoseconds (about 0.02 milliseconds)

Future Improvements

• Implement the VDLPN-based construction from the paper.
• Optimize implementations (there's room for performance improvements).

Acknowledgements

We thank Maxime Bombar for reviewing and providing feedback on the code.

Citations

@inproceedings{cprf,
  author       = {Sacha Servan-Schreiber},
  title        = {Constrained Pseudorandom Functions for Inner-Product Predicates from Weaker Assumptions},
  note         = {\url{https://eprint.iacr.org/2024/058}},
  url          = {https://eprint.iacr.org/2024/058}
  editor       = {Kai-Min Chung and
                  Yu Sasaki},
  booktitle    = {Advances in Cryptology - {ASIACRYPT} 2024 - 30th
                  International Conference on the Theory and
                  Application of Cryptology and Information Security,
                  Kolkata, India, December 9-13, 2024
                  },
  publisher    = {Springer},
  year         = {2024},
}

⚠️ Important Warning

This implementation is intended for research purposes only. The code has NOT been vetted by security experts. As such, no portion of the code should be used in any real-world or production setting!