Succinct and Adaptively Secure ABE for ABP from k-Lin

Huijia Lin; Ji Luo

Paper 2020/1139

Succinct and Adaptively Secure ABE for ABP from k-Lin

Huijia Lin and Ji Luo

Abstract

We present *succinct* and *adaptively secure* attribute-based encryption (ABE) schemes for *arithmetic branching programs*, based on k-Lin in pairing groups. Our key-policy ABE scheme has ciphertexts of *constant size*, independent of the length of the attributes, and our ciphertext-policy ABE scheme has secret keys of *constant size*. Our schemes improve upon the recent succinct ABE schemes in [Attrapadung and Tomida, Asiacrypt '20], which only handle Boolean formulae. All other prior succinct ABE schemes either achieve only selective security or rely on $q$-type assumptions. Our schemes are obtained through a general and modular approach that combines a public-key inner-product functional encryption satisfying a new security notion called gradual simulation security and an information-theoretic randomized encoding scheme called arithmetic key garbling scheme.

Note: Added the generic construction. Updated citations. Fixed typography issues. Supplied DOI.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: A major revision of an IACR publication in ASIACRYPT 2020
DOI: 10.1007/978-3-030-64840-4_15
Contact author(s): rachel @ cs washington edu
luoji @ cs washington edu
History: 2022-03-16: revised; 2020-09-21: received; See all versions
Short URL: https://ia.cr/2020/1139
License: CC BY

BibTeX

@misc{cryptoeprint:2020/1139,
      author = {Huijia Lin and Ji Luo},
      title = {Succinct and Adaptively Secure {ABE} for {ABP} from k-Lin},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/1139},
      year = {2020},
      doi = {10.1007/978-3-030-64840-4_15},
      url = {https://eprint.iacr.org/2020/1139}
}