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Explores impossibility of constant query locally decodable codes in deletion settings, contrasting with substitution errors. Proves non-existence, impacting error-correcting code theory.
Explore advanced error-correcting codes for two-way communication, achieving resilience beyond 1/4 corruptions with constant rate and minimal receiver interaction.
Explore signaling methods for performing computations in asynchronous networks with corrupted messages, focusing on error-correction techniques for damaged transmissions.
Explore linear programming in coding theory, including MRRW and Levenshtein bounds, spherical codes, and connections to combinatorial objects. Discover recent advances in equiangular lines and energy bounds.
Explores character sum bias over high genus curves, strengthening Stepanov-Bombieri approach. Analyzes multiplicity in function fields using new 'universal derivative-fix' lemma.
Explore advanced error-correcting codes, focusing on Ta-Shma's breakthrough and improved list-decoding algorithms that approach the Johnson bound for binary codes with optimal distance and rate.
Explores optimal constructions and lower bounds for limited feedback error-correcting codes, improving upon classical models for both error and erasure settings.
Explore advanced error-correcting code techniques, focusing on list decoding for Tanner and expander amplified codes, with insights from Shashank Srivastava's research.
Explore advanced concepts in error-correcting codes, focusing on Higher Order MDS Codes and their applications in data integrity and communication systems.
Explores advanced bounds for 3-query locally correctable binary linear codes, improving previous results using rainbow cycles in edge-colored graphs and covering radius of dual codes.
Explores advancements in quantum computing using neutral atom arrays, demonstrating improved error correction and logical qubit processing for enhanced algorithmic performance.
Innovative solutions for eliminating stalls, lags, and pixelation in cloud gaming and interactive applications over wireless networks, improving user experience and enabling seamless remote interactions.
Explore adaptive coding techniques for efficient data storage, focusing on locally repairable convertible codes that offer protection against failures and flexibility in modifying parameters over time.
Explore Zak-OTFS waveform design for wireless communication, its advantages in doubly spread channels, and applications in model-free operation and combined communication-sensing.
Explore robust data deduplication techniques for sparse graph structures, connecting to classical combinatorial problems and their wide-ranging applications.
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