IEICE TRANSACTIONS on Fundamentals
Efficient Inner Product Functional Encryption with Full-Hiding Security
Summary :
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
Authors
Junichi TOMIDA
NTT Corporation
Masayuki ABE
NTT Corporation
Tatsuaki OKAMOTO
NTT Corporation
Keyword
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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.
ER -
English
