Paper 2026/926 Original: eprint.iacr.org/2026/926 ↗

Private Function Evaluation with Linear Complexity

Shuaishuai Li
Cong Zhang
Anyu Wang
Xiaoyun Wang
Abstract

We present new frameworks for secure function evaluation (SFE) and private function evaluation (PFE) that support both Boolean and arithmetic circuits. While SFE requires multiple parties to jointly compute a \textit{public} circuit, PFE generalizes SFE by allowing one party to keep the circuit \textit{private}. Our work achieves the first linear-complexity PFE protocol with respect to both the number of parties $n$ and circuit size $m$, significantly improving upon prior PFE constructions that require $O(mn^2)$ complexity and are limited to Boolean circuits.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2026-06-22: last updated
2026-05-11: published
Short URL
https://ia.cr/2026/926
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2026/926,
      author = {Shuaishuai Li and Cong Zhang and Anyu Wang and Xiaoyun Wang},
      title = {Private Function Evaluation with Linear Complexity},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/926},
      year = {2026},
      url = {https://eprint.iacr.org/2026/926}
}
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