Optimal Signcryption from Any Trapdoor Permutation.
Yevgeniy Dodis, Michael J. Freedman, Stanisław Jarecki, Shabsi Walfish · 2004
We build several highly-practical and optimized signcryption constructions directly from trapdoor permutations, in the random oracle model. All our constructions share features such as simplicity, efficiency, generality, near-optimal exact security, flexible and ad-hoc key management, key reuse for sending/receiving data, optimally-low message expansion, "backward" use for plain signature/encryption, long message and associated data support, the strongest-known qualitative security (so-called IND-CCA and sUF-CMA) and, finally, complete compatibility with the PKCS#1 infrastructure. While some of these features are present in previous works to various extents, we believe that our schemes improve on earlier proposals in at least several dimensions, making the overall difference quite noticeable in practice.