Paper 2011/473
Practically Efficient Verifiable Delegation of Polynomial and its Applications
Jia XU
Abstract
In this paper, we propose a novel one-way function, which is equivalent to large integer factorization. From this new one-way function, we construct a novel verifiable delegation scheme for polynomial. Our contribution is twofold: in the practice aspect, our proposed polynomial delegation scheme is about 100 times faster than the existing solutions~\cite{PolyCommit,PolyDeleg} and has constant key size where the existing works require linear key size w.r.t. the degree of the delegated polynomial; in the theory part, our proposed scheme is provably secure under large integer factorization, which is a much weaker assumption than that of existing works. The efficient polynomial delegation scheme can be applied in constructing proofs of retrievability scheme, verifiable keyword search and verifiable dictionary data structure and so on. Furthermore, our new one-way function may have independent interests.
Note: The proposed scheme has a problem. We are working on it.
Metadata
- Available format(s)
- PDF PS
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- Cloud ComputingVerifiable Remote ComputingDelegation of PolynomialProofs of StorageOne-way function
- Contact author(s)
- jiaxu2001 @ gmail com
- History
- 2011-09-08: revised
- 2011-09-06: received
- See all versions
- Short URL
- https://ia.cr/2011/473
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2011/473, author = {Jia XU}, title = {Practically Efficient Verifiable Delegation of Polynomial and its Applications}, howpublished = {Cryptology {ePrint} Archive, Paper 2011/473}, year = {2011}, url = {https://eprint.iacr.org/2011/473} }