*09:17*[Pub][ePrint] Attribute-Based Signatures without Pairings by the Fiat-Shamir Transformation, by Hiroaki Anada and Seiko Arita and Kouichi Sakurai

We propose the first practical attribute-based signature (ABS) scheme with attribute privacy without pairings in the random oracle model. Our strategy is in the Fiat-Shamir paradigm; we first provide a concrete construction of a $\\Sigma$-protocol of \\textit{boolean proof}, which is a generalization of the well-known $\\Sigma$-protocol of OR-proof, so that it can treat any monotone boolean formula instead of a single OR-gate. Then, we apply the Fiat-Shamir transformation to our $\\Sigma$-protocol of boolean proof and obtain a non-interactive witness-indistinguishable proof of knowledge system (NIWIPoK) which has a knowledge extractor in the random oracle model. Finally, by combining our NIWIPoK with a credential bundle scheme of the Fiat-Shamir signature, we obtain an attribute-based signature scheme (ABS) which possesses the property of attribute privacy. The series of constructions are obtained from a given $\\Sigma$-protocol and can be attained without pairings.