Cryptology ePrint Archive: Report 2021/1587

Low-Bandwidth Threshold ECDSA via Pseudorandom Correlation Generators

Damiano Abram and Ariel Nof and Claudio Orlandi and Peter Scholl and Omer Shlomovits

Abstract: Digital signature schemes are a fundamental component of secure distributed systems, and the theft of a signing-key might have huge real-world repercussions e.g., in applications such as cryptocurrencies. Threshold signature schemes mitigate this problem by distributing shares of the secret key on several servers and requiring that enough of them interact to be able to compute a signature. In this paper, we provide a novel threshold protocol for ECDSA, arguably the most relevant signature scheme in practice. Our protocol is the first one where the communication complexity of the preprocessing phase is only logarithmic in the number of ECDSA signatures to be produced later, and it achieves therefore a so-called silent preprocessing. Our protocol achieves active security against any number of arbitrarily corrupted parties.

Category / Keywords: cryptographic protocols / Threshold ECDSA, PCG

Date: received 3 Dec 2021, last revised 3 Dec 2021

Contact author: damiano abram at cs au dk, ariel nof at cs technion ac il, orlandi at cs au dk, peter scholl at cs au dk, omer shlomovits at gmail com

Available format(s): PDF | BibTeX Citation

Version: 20211206:034906 (All versions of this report)

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