Post-Quantum Security

Definition ∞ Post-Quantum Security refers to cryptographic algorithms and systems designed to withstand attacks from quantum computers. As quantum computing capabilities advance, current encryption methods, which rely on the computational difficulty of factoring large numbers or solving discrete logarithm problems, become vulnerable. Post-quantum cryptography aims to develop new mathematical problems that are intractable even for quantum algorithms, ensuring the long-term security of digital communications and assets.
Context ∞ The development and standardization of Post-Quantum Security algorithms are subjects of significant research and regulatory attention. News often highlights the progress of cryptographic standardization bodies, such as NIST, and the potential timeline for transitioning critical infrastructure to quantum-resistant cryptography. The implications for blockchain security, particularly the protection of private keys and transaction integrity, are a primary concern for the digital asset industry.

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→Code Switching Composition

→Efficiency

→Succinct Arguments

Linear Prover Time Unlocks Scalable Zero-Knowledge Proof Generation

Orion achieves optimal linear prover time and polylogarithmic proof size, resolving the ZKP scalability bottleneck for complex on-chain computation.

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→Quantum-Safe Computation

→Quantum Random Oracle

→Cryptographic Primitive

Quantum-Secure Zero-Knowledge Proofs via Extractable Homomorphic Commitments

A novel extractable homomorphic commitment primitive enables efficient lattice-based non-interactive zero-knowledge proofs provably secure against quantum adversaries.

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→Decentralized Systems

→Post-Quantum Security

→DAS Protocol

Zero-Overhead Data Availability Protocol Enables Trustless Scalability

ZODA introduces a tensor code-based proof of encoding that eliminates sampler communication overhead, fundamentally democratizing data availability verification for light nodes.

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→Post-Quantum Security

→Threshold Signatures

→Decentralized Systems

Lattice-Based DKG Secures Asynchronous Systems against Quantum Threats

Research introduces LADKG, a post-quantum DKG protocol integrating AV3S and AACS to enable scalable, publicly verifiable threshold cryptography in asynchronous BFT networks.

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→SNARK Systems

→Inner Product Argument

→Polynomial Commitment

Lattice-Based Inner Product Argument Unlocks Post-Quantum Transparent SNARKs

The Lattice-IPA primitive achieves a succinct, transparent, and quantum-resistant proof system, fundamentally securing verifiable computation against future quantum adversaries.

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→Verifiable Credentials

→Trustless Data Economy

→On-Chain Privacy

Zero-Knowledge Identity Framework Secures Private Data Sharing and Revocation

This new framework merges Decentralized Identity with zk-STARKs and cryptographic accumulators, enabling scalable, privacy-preserving credential verification and revocation.

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→Quasi-Linear Prover

→Verifiable Computation

→State Transition Validity

Interactive Oracle Proofs Enable Trustless, Scalable, Post-Quantum Verifiable Computation

Interactive Oracle Proofs generalize PCPs, constructing transparent, quasi-linear proof systems that eliminate trusted setup for mass-scale verifiable computation.

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→Commitment Scheme Security

→Pairing-Based Cryptography

→Cryptographic Building Block

Constant-Size Polynomial Commitments Unlock Scalable Zero-Knowledge Proof Systems

This cryptographic primitive allows a constant-size commitment to any polynomial, fundamentally decoupling proof size from computation complexity.

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→Trustless Setup

→Verifiable Credentials

→Private Data Sharing

zk-STARKs Enable Scalable Private Identity and Verifiable Credential Revocation

A zk-STARKs-based framework uses cryptographic accumulators to resolve the privacy-transparency conflict, enabling scalable, anonymous credential revocation.

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→Finite Field Operations

→Succinct Arguments

→Post-Quantum Security

Linear-Time Post-Quantum SNARKs Achieve Optimal Prover Efficiency

Brakedown introduces the first built linear-time SNARK, achieving optimal O(N) prover complexity for large computations while eliminating trusted setup.