Efficiency and accuracy improvements of secure floating-point addition over secret sharing

Kota Sasaki, Koji Nuida

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In secure multiparty computation (MPC), floating-point numbers should be handled in many potential applications, but these are basically expensive. In particular, for MPC based on secret sharing (SS), the floating-point addition takes many communication rounds though the addition is the most fundamental operation. In this paper, we propose an SS-based two-party protocol for floating-point addition with 13 rounds (for single/double precision numbers), which is much fewer than the milestone work of Aliasgari et al. in NDSS 2013 (34 and 36 rounds, respectively) and also fewer than the state of the art in the literature. Moreover, in contrast to the existing SS-based protocols which are all based on “roundTowardZero” rounding mode in the IEEE 754 standard, we propose another protocol with 15 rounds which is the first result realizing more accurate “roundTiesToEven” rounding mode. We also discuss possible applications of the latter protocol to secure Validated Numerics (a.k.a. Rigorous Computation) by implementing a simple example.

Original languageEnglish
Title of host publicationAdvances in Information and Computer Security - 15th International Workshop on Security, IWSEC 2020, Proceedings
EditorsKazumaro Aoki, Akira Kanaoka
PublisherSpringer Science and Business Media Deutschland GmbH
Pages77-94
Number of pages18
ISBN (Print)9783030582074
DOIs
Publication statusPublished - 2020
Externally publishedYes
Event15th International Workshop on Security, IWSEC 2020 - Fukui, Japan
Duration: Sep 2 2020Sep 4 2020

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12231 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference15th International Workshop on Security, IWSEC 2020
CountryJapan
CityFukui
Period9/2/209/4/20

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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