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Improved Threshold Signatures, Proactive Secret Sharing and Input Certification from LSS Isomorphisms

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In this paper we present a series of applications steming from a formal treatment of linear secret-sharing isomorphisms, which are linear transformations between different secret-sharing schemes defined over vector spaces over a field F and allow for efficient multiparty conversion from one secret-sharing scheme to the other. This concept generalizes the folklore idea that moving from a secret-sharing scheme over F p to a secret sharing “in the exponent” can be done non-interactively by multiplying the share unto a generator of e.g., an elliptic curve group. We generalize this idea and show that it can also be used to compute arbitrary bilinear maps and in particular pairings over elliptic curves. We include the following practical applications originating from our framework: First we show how to securely realize the Pointcheval-Sanders signature scheme (CT-RSA 2016) in MPC. Second we present a construction for dynamic proactive secret-sharing which outperforms the current state of the art from CCS 2019. Third we present a construction for MPC input certification using digital signatures that we show experimentally to outperform the previous best solution in this area.

OriginalsprogEngelsk
TitelProgress in Cryptology – LATINCRYPT 2021
RedaktørerPatrick Longa, Carla Ràfols
Antal sider23
ForlagSpringer
Udgivelsesår2021
Sider382-404
ISBN (trykt)9783030882372
DOI
StatusUdgivet - 2021
Begivenhed7th International Conference on Cryptology and Information Security in Latin America - Bogotá, Colombia
Varighed: 6 okt. 20218 okt. 2021
Konferencens nummer: 7
https://www.urosario.edu.co/Latin-Crypt-2020/inicio/

Konference

Konference7th International Conference on Cryptology and Information Security in Latin America
Nummer7
LandColombia
ByBogotá
Periode06/10/202108/10/2021
Internetadresse
SerietitelLecture Notes in Computer Science
Vol/bind12912
ISSN0302-9743

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