International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Two-Round Trip Schnorr Multi-Signatures via Delinearized Witnesses

Handan Kilinc Alper , Web3 Foundation
Jeffrey Burdges , Web3 Foundation
DOI: 10.1007/978-3-030-84242-0_7 (login may be required)
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Presentation: Slides
Conference: CRYPTO 2021
Abstract: We construct a two-round Schnorr-based signature scheme (DWMS) by delinearizing two pre-witnesses supplied by each signer. DWMS is a secure signature scheme in the algebraic group model (AGM) and the random oracle model (ROM) under the assumption of the hardness of the one-more discrete logarithm problem and the 2-entwined sum problem that we introduce in this paper. Our new m-entwined sum problem tweaks the k-sum problem in a scalar field using the associated group. We prove the hardness of our new problem in the AGM assuming the hardness of the discrete logarithm problem in the associated group. We believe that our new problem simplifies the security proofs of multi-signature schemes that use the delinearization of witnesses.
Video from CRYPTO 2021
  title={Two-Round Trip Schnorr Multi-Signatures via Delinearized Witnesses},
  author={Handan Kilinc Alper and Jeffrey Burdges},