1970-01-01

(2026-04) Faster Logical Operations from Discrete CKKS

• [[Jaehyung Kim]]

2026-04-14

• #cryptography
• #paper

Abstract

We study efficient non-arithmetic operations in (G)BFV with arbitrary plaintext modulus. We design scheme conversions between (G)BFV and Discrete CKKS, allowing (G)BFV ciphertexts to use radix-based integer computation in the Discrete CKKS setting. This gives asymptotically faster logical operations: for plaintext modulus $p$, homomorphic comparison runs in $O(\log p \log\log p)$ for BFV and $O(\log\log p)$ for GBFV.