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Explores the Hylland-Zeckhauser mechanism for allocating goods, its intractability, and recent developments in Nash bargaining-based alternatives, discussing implications and open problems in market design.
Explores how similarity in school quality and applicant coverage can lead to voluntary adoption of centralized matching in college admissions, benefiting students with limited resources.
Explore approximation algorithms for knapsack problems, focusing on allocation efficiency and investment incentives in mechanism design without confirming negative externalities.
Advances in quantum computing using neutral atom arrays for error-corrected logical qubits. Demonstrates improved performance over physical qubits in various quantum processing tasks.
Unifying frameworks for quantum error correction: ZX calculus and fusion complexes connect hardware-specific models to abstract fault tolerance, aiding QEC design for various qubit technologies.
Explores inapproximability of Minimum Distance Problem for linear codes over finite fields, proving W[1]-hardness. Extends results to Shortest Vector Problem on integer lattices.
Explore advanced error-correcting code theory, focusing on list-decoding techniques for random code ensembles. Gain insights into cutting-edge research in coding theory.
Explores exponential lower bounds for linear 3-query locally correctable codes, improving previous results and approaching best-known constructions. Discusses implications for error-correcting codes and related conjectures.
Explore advanced techniques for efficient list-decoding of Reed-Solomon codes, focusing on univariate multiplicity and folded variants in error-correcting code theory.
Explore error-correcting codes and their theoretical advancements, focusing on tree codes and their applications in communication systems.
Explore relaxed locally correctable codes with polylogarithmic query complexity, bridging the gap between lower and upper bounds using locally testable codes at multiple scales.
Explore efficient error-correcting codes with near-linear time and sub-linear space encoding/decoding algorithms. Learn about innovative techniques in hashing, locally correctable codes, and derandomization.
Explore asymptotically good relaxed locally correctable codes with improved query complexity, advancing error-correcting code theory through novel techniques and insights.
Explore error-correcting codes with multiplication properties, focusing on recent advancements and theoretical implications in coding theory.
Explore the mathematical concept of dual codes in error correction, focusing on evaluation codes and their properties in coding theory.
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