---
_id: '1643'
abstract:
- lang: eng
text: We extend the notion of verifiable random functions (VRF) to constrained VRFs,
which generalize the concept of constrained pseudorandom functions, put forward
by Boneh and Waters (Asiacrypt’13), and independently by Kiayias et al. (CCS’13)
and Boyle et al. (PKC’14), who call them delegatable PRFs and functional PRFs,
respectively. In a standard VRF the secret key sk allows one to evaluate a pseudorandom
function at any point of its domain; in addition, it enables computation of a
non-interactive proof that the function value was computed correctly. In a constrained
VRF from the key sk one can derive constrained keys skS for subsets S of the domain,
which allow computation of function values and proofs only at points in S. After
formally defining constrained VRFs, we derive instantiations from the multilinear-maps-based
constrained PRFs by Boneh and Waters, yielding a VRF with constrained keys for
any set that can be decided by a polynomial-size circuit. Our VRFs have the same
function values as the Boneh-Waters PRFs and are proved secure under the same
hardness assumption, showing that verifiability comes at no cost. Constrained
(functional) VRFs were stated as an open problem by Boyle et al.
alternative_title:
- LNCS
author:
- first_name: Georg
full_name: Fuchsbauer, Georg
id: 46B4C3EE-F248-11E8-B48F-1D18A9856A87
last_name: Fuchsbauer
citation:
ama: 'Fuchsbauer G. Constrained Verifiable Random Functions . In: Abdalla M, De
Prisco R, eds. SCN 2014. Vol 8642. Springer; 2014:95-114. doi:10.1007/978-3-319-10879-7_7'
apa: 'Fuchsbauer, G. (2014). Constrained Verifiable Random Functions . In M. Abdalla
& R. De Prisco (Eds.), SCN 2014 (Vol. 8642, pp. 95–114). Amalfi, Italy:
Springer. https://doi.org/10.1007/978-3-319-10879-7_7'
chicago: Fuchsbauer, Georg. “Constrained Verifiable Random Functions .” In SCN
2014, edited by Michel Abdalla and Roberto De Prisco, 8642:95–114. Springer,
2014. https://doi.org/10.1007/978-3-319-10879-7_7.
ieee: G. Fuchsbauer, “Constrained Verifiable Random Functions ,” in SCN 2014,
Amalfi, Italy, 2014, vol. 8642, pp. 95–114.
ista: 'Fuchsbauer G. 2014. Constrained Verifiable Random Functions . SCN 2014. SCN:
Security and Cryptography for Networks, LNCS, vol. 8642, 95–114.'
mla: Fuchsbauer, Georg. “Constrained Verifiable Random Functions .” SCN 2014,
edited by Michel Abdalla and Roberto De Prisco, vol. 8642, Springer, 2014, pp.
95–114, doi:10.1007/978-3-319-10879-7_7.
short: G. Fuchsbauer, in:, M. Abdalla, R. De Prisco (Eds.), SCN 2014, Springer,
2014, pp. 95–114.
conference:
end_date: 2014-09-05
location: Amalfi, Italy
name: 'SCN: Security and Cryptography for Networks'
start_date: 2014-09-03
date_created: 2018-12-11T11:53:13Z
date_published: 2014-01-01T00:00:00Z
date_updated: 2021-01-12T06:52:12Z
day: '01'
department:
- _id: KrPi
doi: 10.1007/978-3-319-10879-7_7
ec_funded: 1
editor:
- first_name: Michel
full_name: Abdalla, Michel
last_name: Abdalla
- first_name: Roberto
full_name: De Prisco, Roberto
last_name: De Prisco
intvolume: ' 8642'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://eprint.iacr.org/2014/537
month: '01'
oa: 1
oa_version: Submitted Version
page: 95 - 114
project:
- _id: 258C570E-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '259668'
name: Provable Security for Physical Cryptography
publication: SCN 2014
publication_status: published
publisher: Springer
publist_id: '5509'
scopus_import: 1
status: public
title: 'Constrained Verifiable Random Functions '
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 8642
year: '2014'
...