human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge groups authors who co-authored the same paper.

Details of the hypergraph:
Center hyperedge (induced by source paper "Dual projective hashing and its applications -- lossy trapdoor functions and more"):
  Abstract: We introduce the notion of dual projective hashing. This is similar to Cramer-Shoup projective hashing, except that instead of smoothness, which stipulates that the output of the hash function looks random on no instances, we require invertibility, which stipulates that the output of the hash function on no instances uniquely determine the hashing key, and moreover, that there is a trapdoor which allows us to efficiently recover the hashing key.

— We show a simple construction of lossy trapdoor functions via dual projective hashing. Our construction encompasses almost all known constructions of lossy trapdoor functions, as given in the works of Peikert and Waters (STOC '08) and Freeman et al. (PKC '10).

— We also provide a simple construction of deterministic encryption schemes secure with respect to hard-to-invert auxiliary input, under an additional assumption about the projection map. Our construction clarifies and encompasses all of the constructions given in the recent work of Brakerski and Segev (Crypto '11). In addition, we obtain a new deterministic encryption scheme based on LWE.

Includes members:
  Member "Public-Key Encryption Schemes with Auxiliary Inputs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "Exposure-resilient functions and all-or-nothing transforms")
  Member "A unified approach to deterministic encryption: new constructions and a connection to computational entropy":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "Batch Verification of EdDSA Signatures")

Question: Please tell me which research area the co-authored paper (i.e., the source paper of the center hyperedge) belongs to. The 4 classes are: Computer science, Mathematics, Engineering, Economics, Psychology, Business. Directly output the class name.

gpt: Mathematics