The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
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Na computação multipartidária segura (MPC), os números de ponto flutuante devem ser tratados em muitas aplicações potenciais, mas estes são basicamente caros. Em particular, para MPC baseado em compartilhamento secreto (SS), a adição de ponto flutuante leva muitas rodadas de comunicação, embora a adição seja a operação mais fundamental. Neste artigo, propomos um protocolo bipartido baseado em SS para adição de ponto flutuante com 13 rodadas (para números de precisão simples/dupla), que é muito menos do que o trabalho marcante de Aliasgari et al. na NDSS 2013 (34 e 36 rondas, respetivamente) e também inferior ao estado da arte na literatura. Além disso, em contraste com os protocolos existentes baseados em SS, que são todos baseados no modo de arredondamento “roundTowardZero” no padrão IEEE 754, propomos outro protocolo com 15 rodadas, que é o primeiro resultado que permite o modo de arredondamento “roundTiesToEven” mais preciso. Também discutimos possíveis aplicações deste último protocolo para proteger Numéricos Validados (também conhecidos como Computação Rigorosa) implementando um exemplo simples.
Kota SASAKI
The University of Tokyo
Koji NUIDA
Kyushu University,National Institute of Advanced Industrial Science and Technology (AIST)
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Kota SASAKI, Koji NUIDA, "Efficiency and Accuracy Improvements of Secure Floating-Point Addition over Secret Sharing" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 3, pp. 231-241, March 2022, doi: 10.1587/transfun.2021CIP0013.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021CIP0013/_p
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@ARTICLE{e105-a_3_231,
author={Kota SASAKI, Koji NUIDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Efficiency and Accuracy Improvements of Secure Floating-Point Addition over Secret Sharing},
year={2022},
volume={E105-A},
number={3},
pages={231-241},
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.},
keywords={},
doi={10.1587/transfun.2021CIP0013},
ISSN={1745-1337},
month={March},}
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TY - JOUR
TI - Efficiency and Accuracy Improvements of Secure Floating-Point Addition over Secret Sharing
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 231
EP - 241
AU - Kota SASAKI
AU - Koji NUIDA
PY - 2022
DO - 10.1587/transfun.2021CIP0013
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2022
AB - 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.
ER -