Homomorphic secret sharing for low degree polynomials

Russell W.F. Lai; Giulio Malavolta; Dominique Schröder

doi:10.1007/978-3-030-03332-3_11

Homomorphic secret sharing for low degree polynomials

Russell W.F. Lai^*, Giulio Malavolta, Dominique Schröder

^*Corresponding author for this work

Not published at Aalto University

Friedrich-Alexander University Erlangen-Nürnberg

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

16 Citations (Scopus)

Abstract

Original language	English
Title of host publication	Advances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings
Editors	Thomas Peyrin, Steven Galbraith
Publisher	Springer
Pages	279-309
Number of pages	31
ISBN (Print)	9783030033316
DOIs	https://doi.org/10.1007/978-3-030-03332-3_11
Publication status	Published - 2018
MoE publication type	A4 Conference publication
Event	International Conference on the Theory and Application of Cryptology and Information Security - Brisbane, Australia Duration: 2 Dec 2018 → 6 Dec 2018 Conference number: 24

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	11274 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	International Conference on the Theory and Application of Cryptology and Information Security
Abbreviated title	ASIACRYPT
Country/Territory	Australia
City	Brisbane
Period	02/12/2018 → 06/12/2018

Funding

This kind of operations is supported by the encryption scheme since it is linearly homomorphic. Let I1 ⊂ {1, 2}3 be the set of valid indices for the server S1, let I2 := {1, 2}3 \ I1 be the set for S2, and let mi be the monomial indexed by the i-th set of indices. Exploiting the homomorphic properties of the encryption scheme each server computes This research is based upon work supported by the German research foundation (DFG) through the collaborative research center 1223, by the German Federal Ministry of Education and Research (BMBF) through the project PROMISE (16KIS0763), and by the state of Bavaria at the Nuremberg Campus of Technology (NCT). NCT is a research cooperation between the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) and the Technische Hochschule Nürnberg Georg Simon Ohm (THN).

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10.1007/978-3-030-03332-3_11

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Lai, R. W. F., Malavolta, G., & Schröder, D. (2018). Homomorphic secret sharing for low degree polynomials. In T. Peyrin, & S. Galbraith (Eds.), Advances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings (pp. 279-309). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11274 LNCS). Springer. https://doi.org/10.1007/978-3-030-03332-3_11

Lai, Russell W.F. ; Malavolta, Giulio ; Schröder, Dominique. / Homomorphic secret sharing for low degree polynomials. Advances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings. editor / Thomas Peyrin ; Steven Galbraith. Springer, 2018. pp. 279-309 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Homomorphic secret sharing for low degree polynomials",

author = "Lai, \{Russell W.F.\} and Giulio Malavolta and Dominique Schr{\"o}der",

note = "Publisher Copyright: {\textcopyright} 2018, International Association for Cryptologic Research.; International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT ; Conference date: 02-12-2018 Through 06-12-2018",

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Lai, RWF, Malavolta, G & Schröder, D 2018, Homomorphic secret sharing for low degree polynomials. in T Peyrin & S Galbraith (eds), Advances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11274 LNCS, Springer, pp. 279-309, International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, Australia, 02/12/2018. https://doi.org/10.1007/978-3-030-03332-3_11

Homomorphic secret sharing for low degree polynomials. / Lai, Russell W.F.; Malavolta, Giulio; Schröder, Dominique.
Advances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings. ed. / Thomas Peyrin; Steven Galbraith. Springer, 2018. p. 279-309 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11274 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-review

TY - GEN

T1 - Homomorphic secret sharing for low degree polynomials

AU - Lai, Russell W.F.

AU - Malavolta, Giulio

AU - Schröder, Dominique

N1 - Conference code: 24

PY - 2018

Y1 - 2018

UR - https://eprint.iacr.org/2018/1065.pdf

UR - https://www.scopus.com/pages/publications/85057612456

U2 - 10.1007/978-3-030-03332-3_11

DO - 10.1007/978-3-030-03332-3_11

M3 - Conference article in proceedings

AN - SCOPUS:85057612456

SN - 9783030033316

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 279

EP - 309

BT - Advances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings

A2 - Peyrin, Thomas

A2 - Galbraith, Steven

PB - Springer

T2 - International Conference on the Theory and Application of Cryptology and Information Security

Y2 - 2 December 2018 through 6 December 2018

ER -

Lai RWF, Malavolta G, Schröder D. Homomorphic secret sharing for low degree polynomials. In Peyrin T, Galbraith S, editors, Advances in Cryptology – ASIACRYPT 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings. Springer. 2018. p. 279-309. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-03332-3_11

Homomorphic secret sharing for low degree polynomials

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