Paper 2020/1063

Signatures of Knowledge for Boolean Circuits under Standard Assumptions

Karim Baghery, Alonso González, Zaira Pindado, and Carla Ràfols

Abstract

This paper constructs unbounded simulation sound proofs for boolean circuit satisfiability under standard assumptions with proof size O(n+d) bilinear group elements, where d is the depth and n is the input size of the circuit. Our technical contribution is to add unbounded simulation soundness to a recent NIZK of González and Ràfols (ASIACRYPT'19) with very small overhead. We give two different constructions: the first one is more efficient but not tight, and the second one is tight. Our new scheme can be used to construct Signatures of Knowledge based on standard assumptions that also can be composed universally with other cryptographic protocols/primitives. As an independent contribution we also detail a simple formula to encode Boolean circuits as Quadratic Arithmetic Programs.

Metadata
Available format(s)
-- withdrawn --
Category
Cryptographic protocols
Publication info
Published elsewhere. Major revision. AFRICACRYPT 2020
DOI
10.1007/978-3-030-51938-4_2
Keywords
NIZKSignaturesBilinear GroupsCircuitSat
Contact author(s)
zaira pindado @ upf edu
History
2020-09-23: withdrawn
2020-09-03: received
See all versions
Short URL
https://ia.cr/2020/1063
License
Creative Commons Attribution
CC BY
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