zkDaily - 2026-04-10

零知识证明 zkDaily

ZKP Frontier Tracker 🎯

Fri

04.10

2026

VEIL: Lightweight Zero-Knowledge for Hash-Based Multilinear Proof Systems

Paper

https://eprint.iacr.org/2026/683

Rahul Dalal Multilinear Compiler

Dalal et al. proposed VEIL, a lightweight non-intrusive compiler for adding ZK to hash-based multilinear proof systems, achieving minimal prover overhead by decoupling algebraic interactions from hashing.

Notes

VEIL is a lightweight non-intrusive compiler for hash-based multilinear proof systems
Decouples algebraic interactions from cryptographic hashing, applying ZK wrapper only to algebraic components
Avoids drawbacks of composing with expensive ZK systems or tightly coupled modifications
Simple and plausibly post-quantum protocol with minimal prover overhead of (1+o(1))
Proof-of-concept: 3% prover overhead, 22% verifier overhead, 12% proof-size overhead for 2^29 field elements
Maintains architectural integrity of the base proof system

Collected by @icerdesign

零知识证明 zkDaily

Q&A Deep Dive 💬

Fri

04.10

2026

Why is VEIL important?

Traditional approaches often require proving the verifier’s hash computations, which is expensive. VEIL decouples hashing from algebraic interactions, enabling zero-knowledge with very low overhead for practical systems.

How does VEIL achieve low-overhead zero-knowledge?

VEIL wraps only the algebraic components with zero-knowledge while leaving the hash-based verification untouched, keeping prover overhead close to 1+o(1), about 3% in experiments.

Why is VEIL well-suited for hash-based multilinear proof systems?

Such systems naturally separate into algebraic interactions and cryptographic hashing. VEIL targets only the former, preserving the latter’s architecture, which provides modularity, low overhead, and plausible post-quantum security.

Prompted by @icerdesign