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Error-Correcting Codes

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Error-Correcting Codes Courses and Certifications

Master the mathematical foundations of error-correcting codes, including Reed-Solomon, binary codes, and list decoding algorithms for reliable data transmission. Access advanced theoretical lectures from leading research institutes like Simons Institute and Fields Institute on YouTube, covering cutting-edge developments in coding theory and applications.

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Error-Correcting Codes - Hamming Codes - Lecture 19

Discover how to send information over noisy channels and correct errors using 7-bit Hamming codes and linear codes in this MIT discrete mathematics lecture.
- YouTube
- 1 hour 19 minutes
- On-Demand
- Free Video
Fields Institute
Efficient, Stable Presentations From Error-Correcting Codes

Explore error-correcting codes and their applications in efficient, stable presentations with Columbia University's Henry Yuen in this insightful talk from the Fields Institute workshop.
- YouTube
- 57 minutes
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Simons Institute
Tree Codes - Advances in the Theory of Error-Correcting Codes

Explore error-correcting codes and their theoretical advancements, focusing on tree codes and their applications in communication systems.
- YouTube
- 46 minutes
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Simons Institute
Binary Error Correcting Codes with Minimal Noiseless Feedback

Explores optimal constructions and lower bounds for limited feedback error-correcting codes, improving upon classical models for both error and erasure settings.
- YouTube
- 35 minutes
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International Centre for Theoretical Sciences
Lightning Talks - High Dimensional Expanders and Error-Correcting Codes

Discover cutting-edge research in high dimensional expanders and error-correcting codes through rapid-fire presentations by emerging researchers at this ICTS workshop.
- YouTube
- 52 minutes
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- Free Video
Fields Institute
Tight Bounds for Stream Decodable Error-Correcting Codes

Discover tight bounds for stream decodable error-correcting codes through advanced theoretical analysis and mathematical proofs in this specialized cryptography presentation.
- YouTube
- 23 minutes
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Institute for Pure & Applied Mathematics (IPAM)
Oscillator-to-Oscillator Codes Do Not Have a Threshold

Explores limitations of oscillator-to-oscillator codes in quantum information, proving they lack a threshold property for error correction when using constant squeezing and maximum likelihood decoding.
- YouTube
- 20 minutes
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Simons Institute
Algebraic Codes and Algorithms - Part II

Explore advanced concepts in algebraic coding theory and algorithms, focusing on error-correcting codes and their practical applications in data transmission and storage.
- YouTube
- 1 hour
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Simons Institute
An Exponential Lower Bound for Linear 3-Query Locally Correctable Codes

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.
- YouTube
- 45 minutes
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Simons Institute
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.
- YouTube
- 52 minutes
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Simons Institute
Relaxed Local Correctability from Local Testing

Explore relaxed locally correctable codes with polylogarithmic query complexity, bridging the gap between lower and upper bounds using locally testable codes at multiple scales.
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- 37 minutes
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$Asymptotically-Good RLCCs with (log n)^{2+o(1)} Queries$

Simons Institute
Asymptotically-Good RLCCs with (log n)^{2+o(1)} Queries

Explore asymptotically good relaxed locally correctable codes with improved query complexity, advancing error-correcting code theory through novel techniques and insights.
- YouTube
- 42 minutes
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- Free Video
Simons Institute
Constant Query Local Decoding Against Deletions Is Impossible

Explores impossibility of constant query locally decodable codes in deletion settings, contrasting with substitution errors. Proves non-existence, impacting error-correcting code theory.
- YouTube
- 41 minutes
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- Free Video
Simons Institute
Binary Codes with Resilience Beyond 1/4 via Interaction

Explore advanced error-correcting codes for two-way communication, achieving resilience beyond 1/4 corruptions with constant rate and minimal receiver interaction.
- YouTube
- 40 minutes
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Simons Institute
Signal, if You Can't - Error Correction in Fully Corrupted Networks

Explore signaling methods for performing computations in asynchronous networks with corrupted messages, focusing on error-correction techniques for damaged transmissions.
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