Attribute-Hiding Security ⇒ Payload-Hiding Security

Fully-black-box reduction · standard model · folklore · security loss: tight: the reduction preserves the advantage exactly

Statement

Every attribute-hiding HVE scheme is payload-hiding: for every efficient admissible payload-hiding adversary there is an efficient admissible attribute-hiding adversary with the same advantage — folklore.

Sketch

Setting $x_0=x_1=x^{\ast }$ specializes the attribute-hiding game to the payload-hiding game: the challenge $(x^{\ast },m_0,m_1)$ becomes $((x^{\ast },m_0),(x^{\ast },m_1))$, and payload-hiding admissibility (no queried pattern matches $x^{\ast }$) implies attribute-hiding admissibility.