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Master-Key KDM-Secure ABE via Predicate Encoding

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Public-Key Cryptography – PKC 2021 (PKC 2021)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 12710))

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Abstract

In this paper, we propose the first generic framework for attribute-based encryptions (ABE) with master-secret-key-dependent-message security (mKDM security) for affine functions via predicate encodings by Chen, Gay and Wee [Eurocrypt 2015]. The construction is adaptively secure under standard k-Lin assumption in prime-order bilinear groups. By this, we obtain a set of new mKDM-secure ABE schemes with high expressiveness that have never been reached before: we get the first hierarchical IBE (HIBE) scheme and the first ABE scheme for arithmetic branching program (ABP) with mKDM security for affine functions. Thanks to the expressiveness (more concretely, delegability like HIBE), we can obtain mKDM-secure ABE against chosen-ciphertext attack (i.e., CCA security) via a classical CPA-to-CCA transformation that works well in the context of mKDM.

S. Feng—Supported by National Natural Science Foundation of China (61972156).

J. Gong—Supported by National Natural Science Foundation of China (62002120), NSFC-ISF Joint Scientific Research Program (61961146004) and Innovation Program of Shanghai Municipal Education Commission (2021-01-07-00-08-E00101).

J. Chen—Supported by National Natural Science Foundation of China (61972156, U1705264, 61632012), NSFC-ISF Joint Scientific Research Program (61961146004) and National Key Research and Development Program of China (2018YFA0704701). The author would like to thank Ant Group for its support and assistance with this work.

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Notes

  1. 1.

    In Sects. 3.3 and 3.4 where we describe our formal proof, \(\widehat{\mathbf {k}}_i\) indicates a random vector from a subspace of \(\mathbb {Z}_p^\ell \), say \(\mathsf {span}(\mathbf {A}_2^{\!\scriptscriptstyle {\dagger }})\).

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  1. East China Normal University, Shanghai, China

    Shengyuan Feng, Junqing Gong & Jie Chen

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Correspondence to Junqing Gong or Jie Chen .

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  1. Texas A&M University, College Station, TX, USA

    Juan A. Garay

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Feng, S., Gong, J., Chen, J. (2021). Master-Key KDM-Secure ABE via Predicate Encoding. In: Garay, J.A. (eds) Public-Key Cryptography – PKC 2021. PKC 2021. Lecture Notes in Computer Science(), vol 12710. Springer, Cham. https://doi.org/10.1007/978-3-030-75245-3_20

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