cronokirby

(2026-04) A Simple Batched Threshold Encryption Scheme

2026-04-17

Abstract

In this note, we construct a simple batched threshold encryption scheme that satisfies censorship resistance, does not suffer from epoch restrictions, and has quasi-linear decryption complexity O(B\logB)O(B\log{B}) in the batch size BB. Our scheme has a CPA secure ciphertext size of ∣G1∣+∣GT∣|\mathbb{G}_1| + |\mathbb{G}_T|, and a CCA secure ciphertext size of ∣G1∣+2∣F∣+∣GT∣|\mathbb{G}_1| + 2|\mathbb{F}| + |\mathbb{G}_T|. Our construction requires an interactive setup phase (involving secure multiplications) and has secret keys that grow linearly with the batch size.