Key Policy Attribute-Based Encryption Leveraging Isogeny-Based Cryptography

Madické Diadji Mbodj; Anis Bkakria

Paper 2024/1392

Key Policy Attribute-Based Encryption Leveraging Isogeny-Based Cryptography

Madické Diadji Mbodj, IRT SystemX

Anis Bkakria

, IRT SystemX

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.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
Keywords: Attribute-Based Encryption Isogeny-Based Cryptography
Contact author(s): madicke-diadji mbodj02 @ etud univ-paris8 fr
anis bkakria @ irt-systemx fr
History: 2024-09-11: approved; 2024-09-05: received; See all versions
Short URL: https://ia.cr/2024/1392
License: CC BY

BibTeX

@misc{cryptoeprint:2024/1392,
      author = {Madické Diadji Mbodj and Anis Bkakria},
      title = {Key Policy Attribute-Based Encryption Leveraging Isogeny-Based Cryptography},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1392},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1392}
}