openfhe.R

This is an interface to the Fully Homomorphic Encryption library developed by OpenFHE.

The companion package homomorpheR (version >= 1.0) imports this package and includes a number of illustrative vignettes. Specifically, the examples demonstrate how to use existing R functions and optimizers to implement a homomorphic-encryption protocol across multiple sites.

Citing

Both packages are described in

Narasimhan, B. (2026). Fully Homomorphic Encryption for Statistical Modeling. arXiv:2610.04163 [stat.CO]. https://arxiv.org/abs/2610.04163

citation("openfhe.R") gives the BibTeX entries for the paper, the package, and the underlying OpenFHE library.

Schemes

• BFV / BGV: exact integer arithmetic
• CKKS: approximate real-number arithmetic (with sin, cos, logistic, bootstrapping)
• FHEW / TFHE (BinFHE): Boolean circuit evaluation

All four FHE subsystems (BFV, BGV, CKKS, BinFHE) are exposed. In addition, we provide facilities for serialization, threshold FHE, CKKS bootstrapping, transcendental function evaluation, and CKKS hoisted (fast) rotations.

Quick Start

library(openfhe.R)

# BFV: exact integer arithmetic
cc <- fhe_context("BFV", plaintext_modulus = 65537, multiplicative_depth = 2)
keys <- key_gen(cc, eval_mult = TRUE)

ct1 <- encrypt(keys@public, make_packed_plaintext(cc, 1:8), cc = cc)
ct2 <- encrypt(keys@public, make_packed_plaintext(cc, 10:17), cc = cc)

# Compute on encrypted data
result <- decrypt(ct1 + ct2, keys@secret, cc = cc)
get_packed_value(result)[1:8]
#> [1] 11 13 15 17 19 21 23 25