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More efficient commitments from structured lattice assumptions
We present a practical construction of an additively homomorphic commitment scheme
based on structured lattice assumptions, together with a zero-knowledge proof of opening …
based on structured lattice assumptions, together with a zero-knowledge proof of opening …
Two-Round n-out-of-n and Multi-Signatures and Trapdoor Commitment from Lattices
Although they have been studied for a long time, distributed signature protocols have
garnered renewed interest in recent years in view of novel applications to topics like …
garnered renewed interest in recent years in view of novel applications to topics like …
MatRiCT: efficient, scalable and post-quantum blockchain confidential transactions protocol
We introduce MatRiCT, an efficient RingCT protocol for blockchain confidential transactions,
whose security is based on" post-quantum''(module) lattice assumptions. The proof length of …
whose security is based on" post-quantum''(module) lattice assumptions. The proof length of …
Efficient lattice-based zero-knowledge arguments with standard soundness: construction and applications
We provide new zero-knowledge argument of knowledge systems that work directly for a
wide class of language, namely, ones involving the satisfiability of matrix-vector relations …
wide class of language, namely, ones involving the satisfiability of matrix-vector relations …
Signature schemes with efficient protocols and dynamic group signatures from lattice assumptions
A recent line of works–initiated by Gordon, Katz and Vaikuntanathan (Asiacrypt 2010)–gave
lattice-based constructions allowing users to authenticate while remaining hidden in a …
lattice-based constructions allowing users to authenticate while remaining hidden in a …
Lattice-based zero-knowledge proofs: new techniques for shorter and faster constructions and applications
We devise new techniques for design and analysis of efficient lattice-based zero-knowledge
proofs (ZKP). First, we introduce one-shot proof techniques for non-linear polynomial …
proofs (ZKP). First, we introduce one-shot proof techniques for non-linear polynomial …
Sub-linear lattice-based zero-knowledge arguments for arithmetic circuits
We propose the first zero-knowledge argument with sub-linear communication complexity
for arithmetic circuit satisfiability over a prime p whose security is based on the hardness of …
for arithmetic circuit satisfiability over a prime p whose security is based on the hardness of …
Practical product proofs for lattice commitments
We construct a practical lattice-based zero-knowledge argument for proving multiplicative
relations between committed values. The underlying commitment scheme that we use is the …
relations between committed values. The underlying commitment scheme that we use is the …
Faster Gaussian sampling for trapdoor lattices with arbitrary modulus
We present improved algorithms for gaussian preimage sampling using the lattice trapdoors
of (Micciancio and Peikert, CRYPTO 2012). The MP12 work only offered a highly optimized …
of (Micciancio and Peikert, CRYPTO 2012). The MP12 work only offered a highly optimized …
SoK: Zero-knowledge range proofs
Zero-knowledge range proofs (ZKRPs) allow a prover to convince a verifier that a secret
value lies in a given interval. ZKRPs have numerous applications: from anonymous …
value lies in a given interval. ZKRPs have numerous applications: from anonymous …