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Inner product functional encryption (IPFE) is a subclass of functional encryption (FE), whose function class is limited to inner product. We construct an efficient private-key IPFE scheme with full-hiding security, where confidentiality is assured for not only encrypted data but also functions associated with secret keys. Recently, Datta et al. presented such a scheme in PKC 2016 and this is the only scheme that achieves full-hiding security. Our scheme has an advantage over their scheme for the two aspects. *More efficient*: keys and ciphertexts of our scheme are almost half the size of those of their scheme. *Weaker assumption*: our scheme is secure under the *k*-linear (*k*-Lin) assumption, while their scheme is secure under a stronger assumption, namely, the symmetric external Diffie-Hellman (SXDH) assumption. It is well-known that the *k*-Lin assumption is equivalent to the SXDH assumption when *k*=1 and becomes weak as *k* increases.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E103-A No.1 pp.33-40

- Publication Date
- 2020/01/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.2019CIP0003

- Type of Manuscript
- Special Section PAPER (Special Section on Cryptography and Information Security)

- Category

Junichi TOMIDA

NTT Corporation

Masayuki ABE

NTT Corporation

Tatsuaki OKAMOTO

NTT Corporation

The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.

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Junichi TOMIDA, Masayuki ABE, Tatsuaki OKAMOTO, "Efficient Inner Product Functional Encryption with Full-Hiding Security" in IEICE TRANSACTIONS on Fundamentals,
vol. E103-A, no. 1, pp. 33-40, January 2020, doi: 10.1587/transfun.2019CIP0003.

Abstract: Inner product functional encryption (IPFE) is a subclass of functional encryption (FE), whose function class is limited to inner product. We construct an efficient private-key IPFE scheme with full-hiding security, where confidentiality is assured for not only encrypted data but also functions associated with secret keys. Recently, Datta et al. presented such a scheme in PKC 2016 and this is the only scheme that achieves full-hiding security. Our scheme has an advantage over their scheme for the two aspects. *More efficient*: keys and ciphertexts of our scheme are almost half the size of those of their scheme. *Weaker assumption*: our scheme is secure under the *k*-linear (*k*-Lin) assumption, while their scheme is secure under a stronger assumption, namely, the symmetric external Diffie-Hellman (SXDH) assumption. It is well-known that the *k*-Lin assumption is equivalent to the SXDH assumption when *k*=1 and becomes weak as *k* increases.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2019CIP0003/_p

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@ARTICLE{e103-a_1_33,

author={Junichi TOMIDA, Masayuki ABE, Tatsuaki OKAMOTO, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Efficient Inner Product Functional Encryption with Full-Hiding Security},

year={2020},

volume={E103-A},

number={1},

pages={33-40},

abstract={Inner product functional encryption (IPFE) is a subclass of functional encryption (FE), whose function class is limited to inner product. We construct an efficient private-key IPFE scheme with full-hiding security, where confidentiality is assured for not only encrypted data but also functions associated with secret keys. Recently, Datta et al. presented such a scheme in PKC 2016 and this is the only scheme that achieves full-hiding security. Our scheme has an advantage over their scheme for the two aspects. *More efficient*: keys and ciphertexts of our scheme are almost half the size of those of their scheme. *Weaker assumption*: our scheme is secure under the *k*-linear (*k*-Lin) assumption, while their scheme is secure under a stronger assumption, namely, the symmetric external Diffie-Hellman (SXDH) assumption. It is well-known that the *k*-Lin assumption is equivalent to the SXDH assumption when *k*=1 and becomes weak as *k* increases.},

keywords={},

doi={10.1587/transfun.2019CIP0003},

ISSN={1745-1337},

month={January},}

Copy

TY - JOUR

TI - Efficient Inner Product Functional Encryption with Full-Hiding Security

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 33

EP - 40

AU - Junichi TOMIDA

AU - Masayuki ABE

AU - Tatsuaki OKAMOTO

PY - 2020

DO - 10.1587/transfun.2019CIP0003

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E103-A

IS - 1

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - January 2020

AB - Inner product functional encryption (IPFE) is a subclass of functional encryption (FE), whose function class is limited to inner product. We construct an efficient private-key IPFE scheme with full-hiding security, where confidentiality is assured for not only encrypted data but also functions associated with secret keys. Recently, Datta et al. presented such a scheme in PKC 2016 and this is the only scheme that achieves full-hiding security. Our scheme has an advantage over their scheme for the two aspects. *More efficient*: keys and ciphertexts of our scheme are almost half the size of those of their scheme. *Weaker assumption*: our scheme is secure under the *k*-linear (*k*-Lin) assumption, while their scheme is secure under a stronger assumption, namely, the symmetric external Diffie-Hellman (SXDH) assumption. It is well-known that the *k*-Lin assumption is equivalent to the SXDH assumption when *k*=1 and becomes weak as *k* increases.

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