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Attribute-based Encryption for Circuits

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Constructs an attribute‑based encryption scheme from lattices that handles arbitrary Boolean circuits under a sub‑exponential LWE assumption, gives selective security (convertible to adaptive via complexity‑leveraging), and produces short ciphertexts and secret keys whose length is essentially one bit per gate. It uses a public key homomorphism dance with a gadget matrix G so ciphertexts evolve with attributes, then a trapdoor lets a final short inversion recover the message.

AI-written summary · about

  1. 0:00Attribute-based Encryption for Circuits
  2. 7:57Public vs. Private Attributes
  3. 12:35(IND) Security
  4. 15:36(IND) Selective Security
  5. 19:30Main Result
  6. 21:25Key Idea: Key-Homomorphism
  7. 24:53ABE Keys
  8. 33:31ABE Encryption
  9. 39:36ABE Decryption
  10. 42:13Summing Up: ABE
  11. 45:48Key Tool in Security Proof Two Ways to Generate Trapdoors for [A || Ap]
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