DNAe2c Error Correction Code for DNA Data Storage - 10x Improvement Over Reed Solomon Codes
Discover advanced error correction techniques for DNA data storage through DNAe2c, achieving 10x better performance than Reed Solomon codes with minimal overhead for improved data integrity and storage efficiency.
Codes from Polynomials Over Finite Fields
Explore polynomial-based coding theory, focusing on Reed-Solomon and Reed-Muller codes, their properties, and applications in error correction for reliable data transmission over noisy channels.
Coding Theoretic Framework for Private Information Retrieval - SIAM SAGA Seminar
Explore private information retrieval in coded storage systems, focusing on algebraic-geometric codes and star product schemes for adjustable storage overhead and server collusion protection.
Collision-Resistance from Multi-Collision-Resistance
Exploring the transformation of multi-collision-resistant hash functions into collision-resistant hash functions, with insights on Reed-Solomon codes and cryptographic primitives.
Fast List-Decoding of Univariate Multiplicity and Folded Reed-Solomon Codes
Explore advanced techniques for efficient list-decoding of Reed-Solomon codes, focusing on univariate multiplicity and folded variants in error-correcting code theory.
Codes with the Multiplication Property - Advances in Error-Correcting Codes Theory
Explore error-correcting codes with multiplication properties, focusing on recent advancements and theoretical implications in coding theory.
Back to the Future: The Evolution of Coding Theory Through Reed Muller Codes
Explore the evolution of coding theory through Reed Muller codes, from sphere packing to iterative algorithms and quantum computing applications.
Higher Order MDS Codes - Advances in Error-Correcting Code Theory
Explore advanced concepts in error-correcting codes, focusing on Higher Order MDS Codes and their applications in data integrity and communication systems.
Algebra in Algorithmic Coding Theory
Explore algebraic techniques in algorithmic coding theory, focusing on error-correcting codes and their applications in computer science and information theory.
Proximity Gaps for Reed-Solomon Codes
Explore proximity gaps in Reed-Solomon codes, including error terms, generalizations, and applications. Learn about decoders like Berlekamp-Welch and their implementations.
CRaft - An Erasure-coding-supported Version of Raft for Reducing Storage Cost
Explores CRaft, an erasure-coding-supported version of Raft consensus protocol, reducing storage and network costs while maintaining fault tolerance and liveness. Presents design, challenges, and performance improvements.
Cryptography, Local Decoding, and Distributed Storage
Explore cryptography's role in distributed storage, focusing on error correction, local decoding, and private information retrieval. Learn about Reed-Solomon codes and their applications.
Almost There: Capacity of PIR from Coded and Colluding Servers
Explore capacity of Private Information Retrieval from coded and colluding servers. Gain insights into algebraic and combinatorial methods for coding and cryptography.