[Resource Topic] 2024/1392: Key Policy Attribute-Based Encryption Leveraging Isogeny-Based Cryptography

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Title:
Key Policy Attribute-Based Encryption Leveraging Isogeny-Based Cryptography

Authors: Madické Diadji Mbodj, Anis Bkakria

Abstract:

We present the first Key Policy Attribute-Based Encryption (KP-ABE) scheme employing isogeny-based cryptography through class group actions, specifically utilizing the Csi-FiSh instantiation and pairing groups. We introduce a new assumption, denoted Isog-DLin, which combines the isogeny and DLin assumptions. We propose the following constructions: a small universe KP-ABE and a large universe KP-ABE under the Isog-DBDH assumption, and a small universe KP-ABE under the Isog-DLin assumption. In these constructions, the master key is designed to be secure against quantum computer attacks, while the ciphertext remains secure against classical computer attacks. This dual-layered approach ensures robust security across classical and quantum computational paradigms, addressing current and potential future cryptographic challenges.

ePrint: https://eprint.iacr.org/2024/1392

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