Erasure Codes

Definition ∞ These are mathematical techniques that encode data in a way that allows for its reconstruction even if some parts of the data are lost or unavailable. They achieve redundancy by adding extra parity information, enabling recovery from a specified number of erasures. This is crucial for data reliability and fault tolerance.
Context ∞ Erasure Codes are a fundamental component in many decentralized storage and data distribution systems, frequently appearing in news related to data availability and resilience. Discussions often focus on the trade-offs between storage overhead, computational cost, and the degree of fault tolerance achieved. Analysts are observing their integration into protocols designed to ensure the long-term preservation and accessibility of blockchain data, especially in distributed file systems.

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→Absolute Honest Nodes

→Robust Networking Layer

→Distributed Data Structure

Robust Distributed Arrays Secure Data Availability Sampling Networking Layer

Researchers introduce Robust Distributed Arrays, a novel distributed data structure that secures the DAS networking layer based on absolute honest nodes, enabling scalable data availability.

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→Random Linear Coding

→Erasure Codes

→On-The-Fly Coding

Random Linear Coding Secures Data Availability Sampling Paradigm

Modularizing DAS with on-the-fly network coding over uncoded commitments provides orders of magnitude stronger availability assurance.

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→Vector Commitment

→Light Client Verification

→Asymptotic Security

FRIDA Formalizes Data Availability Sampling with Transparent Cryptographic Proofs

FRIDA introduces the first formal cryptographic primitive for Data Availability Sampling, enabling trustless, scalable block data verification for modular blockchains.

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→Proof System

→Polynomial Commitments

→Trustless Setup

FRIDA: FRI-based Data Availability Sampling without Trusted Setup

Leverages a novel property of the FRI proof system to construct a trustless, efficient data availability sampling scheme for modular blockchains.

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→Block Data Integrity

→Uncoded Data Commitment

→Modular Blockchain

On-The-Fly Coding Dramatically Improves Data Availability Security Assurance

Modularizing data availability by committing to uncoded data and using Random Linear Network Coding for stronger sampling assurance.

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→Proof Systems

→Protocol Design

→Data Availability

New Data Availability Sampling Paradigm: Uncoded Commitments, On-the-Fly Coding

This research introduces a novel data availability sampling method, enhancing blockchain scalability and security through dynamic, on-the-fly data encoding.

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→Cryptographic Primitives

→Merkle Trees

→Blockchain Scalability

Erasure Code Commitments Enhance Data Availability Sampling

A new cryptographic primitive, erasure code commitments, fundamentally secures data availability sampling by ensuring committed data integrity.

→Permissionless Networks

→Verifiable Dispersal

→Homomorphic Fingerprints

Permissionless Verifiable Information Dispersal for Bitcoin Rollup Data Availability

This research introduces a novel verifiable information dispersal system, enabling scalable and secure data availability for Bitcoin rollups through homomorphic fingerprints.