Function secret sharing using fourier basis

Takuya Ohsawa, Naruhiro Kurokawa, Takeshi Koshiba

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

Function secret sharing (FSS) scheme, formally introduced by Boyle et al. at EUROCRYPT 2015, is a mechanism that calculates a function f(x) for x∈ { 0, 1 } n which is shared among p parties, by using distributed functions fi: { 0, 1 } n→ G (1 ≤ i≤ p), where G is an Abelian group, while the function f: { 0, 1 } n→ G is kept secret to the parties. We observe that any function f can be described as a linear combination of the basis functions by regarding the function space as a vector space of dimension 2 n and give a new framework for FSS schemes based on this observation. Based on the new framework, we introduce a new FSS scheme using the Fourier basis. This method provides efficient computation for a different class of functions (e.g., hard-core predicates of one-way functions), which may be inefficient to compute if we use the standard basis such as point functions. Our FSS scheme based on the Fourier basis is quite simple due to the fact that the Fourier basis is closed under the multiplication, while the previous constructions have to incorporate some complex mechanisms to overcome the difficulty.

Original languageEnglish
Title of host publicationLecture Notes on Data Engineering and Communications Technologies
PublisherSpringer
Pages865-875
Number of pages11
DOIs
Publication statusPublished - 2018

Publication series

NameLecture Notes on Data Engineering and Communications Technologies
Volume7
ISSN (Print)2367-4512
ISSN (Electronic)2367-4520

Keywords

  • Akavia
  • Fourier Basis
  • Hard-core Predicate
  • Point Function
  • Succinct Description

ASJC Scopus subject areas

  • Media Technology
  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Computer Networks and Communications
  • Information Systems

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