Proof Size Reduction → News → Feed 3

A sleek, metallic device with a transparent blue panel reveals an intricate mechanical movement, evoking precision engineering. This sophisticated design suggests a robust hardware wallet or secure enclave for digital asset management. The visible gears and balance wheel metaphorically represent a complex consensus mechanism or a time-locked cryptographic module, emphasizing tamper-proof security and deterministic key derivation crucial for blockchain protocols and trustless environments.

Optimizing Pietrzak's VDF verification from 4M to 2M gas makes unbiasable on-chain randomness feasible, securing leader election and decentralized applications.

An abstract, futuristic device features a translucent, textured shell, partially clear and partially vibrant blue, encasing metallic internal structures. A central, glowing blue lens or core suggests active processing, embodying a cryptographic primitive. This secure enclave design visualizes robust digital asset security within a distributed ledger technology framework. The intricate composition reflects the complexity of a consensus mechanism, ensuring immutable record integrity and facilitating secure multi-party computation in Web3 infrastructure.

→Quantum Resistance

→Lattice Based Assumptions

→Linear-Only Encryption

Lattice-Based zkSNARKs Achieve Post-Quantum Security with Tenfold Proof Size Reduction

A new lattice-based zkSNARK construction dramatically shrinks post-quantum proof size by 10x, enabling practical, quantum-resistant verifiable computation.

A central, intricate cluster of deep blue crystalline structures forms a decentralized protocol core. Surrounding it, multiple glossy white spheres, varying in size, represent blockchain nodes or interoperable dApps. Slender, curved dark and light strands weave through the composition, signifying transaction flows and cross-chain communication within a complex Web3 ecosystem. The blurred azure background suggests a vast, interconnected sharded network, emphasizing the intricate mechanisms of distributed ledger technology.

→Small Instance Efficiency

→Transparent Setup

→Degree Enforcing Commitment

SmallWood: Hash-Based Commitments Achieve Post-Quantum Zero-Knowledge for Small Instances

SmallWood introduces a post-quantum, hash-based commitment scheme, dramatically shrinking proof sizes for common, small-scale verifiable computation.

A macro perspective reveals an intricate, radially symmetric blue structure, resembling a complex decentralized network topology. Numerous fine, interconnected filaments form distinct segments, illustrating node architecture and protocol layers. Small, bright white particles, akin to on-chain data packets or transaction throughput, are distributed across the textured surfaces. This visual metaphor highlights the granular complexity of distributed ledger technology DLT, potentially representing smart contract execution or a validator set within a Proof-of-Stake PoS consensus mechanism. The depth of field emphasizes core cryptographic primitives and data sharding processes.

→Trusted Setup

→Circuit-Based Proofs

→Quantum-Accessible Random Oracle

Post-Quantum Signatures from Symmetric-Key ZKPs Halve Proof Size

The ZKB++ protocol converts symmetric-key primitives into post-quantum non-interactive ZK signatures, drastically reducing proof size for future security.

A central, multifaceted crystalline orb, reflecting intricate blue digital patterns, is suspended within a minimalist white framework. Three smaller, faceted crystal structures are positioned symmetrically around the orb, connected by ethereal white lines. The entire assembly rests on a dark blue surface adorned with the complex, illuminated circuitry of a printed circuit board, evoking the foundational infrastructure of blockchain technology and distributed ledger systems. This visual metaphor represents the core processing unit of a decentralized network, possibly alluding to quantum-resistant cryptography or advanced consensus mechanisms.

→Lattice-Based Cryptography

→Succinct Argument System

→Cryptographic Primitives

Vanishing Polynomials Enable Post-Quantum Recursive Zero-Knowledge Scaling

Introducing vanishing polynomial commitments to construct the first lattice-based recursive folding scheme with polylogarithmic verifier complexity.

$A central transparent cubic prism refracts light, superimposed over a complex, glowing blue circuit board structure. White, segmented conduits encircle the prism, suggesting advanced technological integration. This abstract visualization embodies the convergence of quantum computing principles with decentralized ledger technology, hinting at next-generation cryptographic security protocols and novel consensus algorithms. It represents the intricate interplay between blockchain architecture, quantum-resistant cryptography, and the evolution of digital asset security paradigms.$

→Post-Quantum Security

→Proof System Composition

→Lattice Assumptions

Efficient Post-Quantum Polynomial Commitments Unlock Scalable Zero-Knowledge Cryptography

Greyhound, a lattice-based polynomial commitment scheme, delivers post-quantum security and vastly smaller proof sizes, enabling practical, future-proof zk-SNARKs.

A smooth, light-toned, undulating structure with a central circular aperture anchors a field of luminous blue and white particles. This visual metaphor represents a critical blockchain node or validator within a decentralized network, processing on-chain transactions. The glowing particles symbolize transaction data and cryptographic primitives flowing through a distributed ledger. The central opening suggests a protocol gateway or oracle feed, facilitating interoperability and secure smart contract execution across the Web3 ecosystem. It encapsulates the essence of algorithmic governance and network effects.

→Proof Size Reduction

→Multilinear Polynomials

→Interactive Oracle Proof

Field-Agnostic Polynomial Commitments Accelerate Multilinear Zero-Knowledge Proofs

A new polynomial commitment scheme, BaseFold, generalizes FRI using foldable codes, eliminating field restrictions and achieving 200x faster ZK prover times.

A high-resolution render showcases intricate distributed ledger technology infrastructure, featuring a dense array of interconnected network nodes forming a robust blockchain architecture. The metallic components suggest advanced mining hardware or validator nodes within a Proof-of-Stake consensus mechanism. Prominently centered is a complex, abstract metallic structure, symbolizing a novel cryptographic primitive or a zero-knowledge proof algorithm. This visual emphasizes interoperability protocols and the foundational elements of Web3 infrastructure, highlighting the intricate digital fabric supporting decentralized finance and digital asset security.

→Ring SIS Problem

→Polynomial Commitment Scheme

→Constant-Sized Proofs

Lattice Polynomial Commitments Unlock Concretely Efficient Post-Quantum Zero-Knowledge Arguments

A new lattice-based polynomial commitment scheme drastically shrinks proof size, providing the essential, quantum-safe primitive for future scalable blockchain privacy.

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.

→Fiat-Shamir Transformation

→Lattice Cryptography

→Succinct Non-Interactive Argument

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 cube, representing a quantum bit or qubit, is suspended within a metallic toroidal structure atop a circuit board illuminated with vibrant blue digital pathways. This visual metaphor explores the convergence of advanced quantum computing paradigms with the foundational infrastructure of blockchain and distributed ledger technologies. It signifies the potential for quantum algorithms to revolutionize cryptographic hashing, enhance consensus mechanisms like Proof-of-Stake, and accelerate transaction processing speeds within decentralized finance DeFi ecosystems, pushing the boundaries of secure and efficient blockchain operations.

→Proof Size Reduction

→Collision-Resistant Hash

→Cryptographic Primitives

Lattice ZKPs Match CRHF Proof Size for Post-Quantum Security

Researchers achieved lattice-based ZKPs with proof sizes comparable to hash-based systems, enabling practical, post-quantum private computation.

Proof Size Reduction

Cost-Effective Verifiable Delay Functions Unlock Secure EVM Randomness