Graduate School and Research Center in Digital Sciences

Online-offline homomorphic signatures for polynomial functions

Elkhiyaoui, Kaoutar; Önen, Melek; Molva, Refik

Eprint, 2017

The advent of cloud computing has given rise to a plethora of work on verifiable delegation of computation. Homomorphic signatures are powerful tools that can be tailored for verifiable computation, as long as they are efficiently verifiable. The main advantages of homomorphic signatures for verifiable computation are twofold: (i) Any third party can verify the correctness of the delegated computation, (ii) and this third party is not required to have access to the dataset on which the computation was performed. In this paper, we design a homomorphic signature suitable for multivariate polynomials of bounded degree, which draws upon the algebraic properties of eigenvectors and leveled multilinear maps. The proposed signature yields an efficient verification process (in an amortized sense) and supports online-offline signing. Furthermore, our signature is provably secure and its size grows only linearly with the degree of the evaluated polynomial.

Document Bibtex

Title:Online-offline homomorphic signatures for polynomial functions
Department:Digital Security
Eurecom ref:5229
Copyright: © EURECOM. Personal use of this material is permitted. The definitive version of this paper was published in Eprint, 2017 and is available at :
Bibtex: @article{EURECOM+5229, year = {2017}, month = {06}, title = {{O}nline-offline homomorphic signatures for polynomial functions}, author = {{E}lkhiyaoui, {K}aoutar and {\"{O}}nen, {M}elek and {M}olva, {R}efik}, journal = {{E}print, 2017}, url = {} }
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