Black-box constructions of signature schemes in the bounded leakage setting

In this work, we review the folklore generic constructions of identity-based signature and certificateless signature schemes, and show that if the underlying primitives are leakage-resilient, so are the resulting identity-based signature scheme and certificateless signature scheme. The leakage rate follows the minimum one of the underlying primitives. To demonstrate, we show some instantiations of these generic constructions.