Fiat-Shamir Transformation

Definition ∞ Fiat-Shamir Transformation is a cryptographic technique that converts an interactive proof system into a non-interactive argument. This method replaces the prover’s interaction with a verifier by using a public random oracle to generate challenges. It allows a prover to generate a single proof that any verifier can check without further communication. This transformation is fundamental for efficiency in certain cryptographic constructions.
Context ∞ The Fiat-Shamir Transformation is a critical component in the construction of zero-knowledge proofs, particularly SNARKs (Succinct Non-Interactive Arguments of Knowledge). Its significance in the digital asset space lies in enabling privacy-preserving transactions and scalable computation on blockchains. A key discussion point involves the security assumptions of the random oracle model and its practical implementations. Future developments will continue to refine its application in advanced cryptographic protocols for enhanced blockchain privacy and efficiency.

A transparent, faceted cube housing intricate blue circuitry, resembling a quantum computing core, is centrally positioned against a blurred background of metallic and dark blue components, possibly representing distributed ledger technology nodes or hardware wallets. This visual metaphor explores the convergence of quantum cryptography with blockchain infrastructure, suggesting advanced cryptographic primitives for enhanced digital asset security and decentralized network integrity. The composition hints at next-generation cryptographic solutions for securing blockchain transactions and preventing quantum decryption threats.

→Lattice Cryptography

→Transparent Setup

→Module SIS Problem

Lattice-Based Commitments Achieve Post-Quantum Zero-Knowledge with Transparent Setup

A new lattice-based polynomial commitment provides post-quantum security and a transparent setup, fundamentally advancing trustless, quantum-resistant verifiable computation.

A translucent cubic structure, etched with intricate circuit-like patterns, is suspended within a white, segmented ring mechanism against a backdrop of a blue, textured circuit board. This visual metaphor represents the convergence of quantum computing and blockchain technology. The cube symbolizes data or a quantum state, while the ring suggests a secure, controlled environment or a computational process. This imagery speaks to advanced cryptographic applications, decentralized ledger technology advancements, and the potential for quantum-resistant blockchain solutions, impacting digital asset security and smart contract execution.

→Post-Quantum Security

→Transparent Setup

→Algebraic Structure

Lattice Polynomial Commitments Achieve Post-Quantum Transparent SNARKs

This research delivers the first efficient lattice-based polynomial commitment scheme, securing succinct arguments against quantum adversaries without a trusted setup.

A crystalline structure, faceted like a gem, is suspended within a white, segmented ring, all set against a backdrop of intricate blue circuitry. This visual metaphor represents the convergence of advanced cryptography and distributed ledger technology. The gem symbolizes a quantum-resistant cryptographic key or a secure data enclave, while the circuitry signifies the complex blockchain network or decentralized finance DeFi infrastructure it protects. The segmented ring suggests a secure access protocol or a validation mechanism, hinting at advanced consensus algorithms and zero-knowledge proofs.

→Scalable Verification

→Post-Quantum Cryptography

→Polynomial Commitment Scheme

Lattice Polynomial Commitments Achieve Post-Quantum SNARKs without Trusted Setup

A new lattice-based polynomial commitment scheme secures zero-knowledge systems against quantum adversaries while eliminating the need for a trusted setup ceremony.

Fiat-Shamir Transformation

Lattice-Based Commitments Achieve Post-Quantum Zero-Knowledge with Transparent Setup

Lattice Polynomial Commitments Achieve Post-Quantum Transparent SNARKs

Lattice Polynomial Commitments Achieve Post-Quantum SNARKs without Trusted Setup

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