Abstract
We propose new constructions of leakage-resilient public-key encryption (PKE) and identity-based encryption (IBE) schemes in the bounded retrieval model (BRM). In the BRM, adversaries are allowed to obtain at most \(\ell \)-bit leakage from a secret key and we can increase \(\ell \) only by increasing the size of secret keys without losing efficiency in any other performance measure. We call \(\ell /|\mathsf {sk}|\) leakage-ratio where \(|\mathsf {sk}|\) denotes a bit-length of a secret key. Several PKE/IBE schemes in the BRM are known. However, none of these constructions achieve a constant leakage-ratio under a standard assumption in the standard model. Our PKE/IBE schemes are the first schemes in the BRM that achieve leakage-ratio \(1-\epsilon \) for any constant \(\epsilon >0\) under standard assumptions in the standard model.
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