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Stanford University

Stanford EE274: Data Compression - Beyond IID Distributions: Conditional Entropy - Lecture 8

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Explore conditional entropy and advanced data compression techniques beyond IID distributions in this Stanford lecture, enhancing understanding of complex information theory concepts.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Stanford University

Asymmetric Numeral Systems (ANS) - Data Compression Lecture 7

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Explore Asymmetric Numeral Systems (ANS), an advanced data compression technique, in this Stanford lecture. Gain insights into its principles, applications, and advantages in modern compression algorithms.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
NPTEL

Coding Theory

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This course provides an introduction to traditional and modern coding theory. Topics covered include linear block codes, cyclic codes (BCH and RS codes), convolutional codes, turbo codes and low-density parity-check (LDPC) codes.
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38 Lesons
1 day 13 hours
On-Demand
Free-Video
Santa Fe Institute

The Thermodynamics of Communication - Exploring Energy and Information Limits

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Exploring the fundamental relationship between energy, information, and matter in communication processes. Discusses nonlinear dynamics of communication channels and their implications for collective intelligence and limits to human knowledge.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Academic Lesson

Advanced Linear Algebra

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Comprehensive exploration of advanced linear algebra concepts, including least squares approximation, error-correcting codes, functional calculus, affine transformations, and stochastic maps, with practical applications.
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25 Lesons
4 hours 9 minutes
On-Demand
Free-Video
Institute for Advanced Study

An Introduction to Lifted Expander Graphs - Fernando Granha Jeronimo

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Explore lifted expander graphs, their construction, and applications in theoretical computer science. Learn about symmetry structures, coding theory implications, and recent advancements in this field.
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21 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Institute for Advanced Study

Locally Testable Codes with Constant Rate, Distance, and Locality, Part I - Irit Dinur

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Explore locally testable codes with constant rate, distance, and locality. Learn about a new construction based on left-right Cayley complexes, addressing an open question in coding theory.
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23 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Institute for Advanced Study

High Dimensional Expansion and Error Correcting Codes - Irit Dinur

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Explore high-dimensional expansion, error-correcting codes, and their connections. Delve into expansion constructions, property testing, and revolution complexes with expert Irit Dinur.
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9 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Institute

Pseudorandom Error-Correcting Codes with Applications to Watermarking Generative AI

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Explore the innovative framework of pseudorandom error-correcting codes and their application in watermarking AI-generated content, focusing on cryptographic implementations and robustness guarantees.
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1 Lesons
45 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Algebraic Attacks for the Rank Decoding Problem - Lecture 2

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Explorez les attaques algébriques pour le problème du décodage de rang dans cette conférence mathématique approfondie, axée sur les avancées récentes et les techniques avancées.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Algebraic Attacks for the Rank Decoding Problem - Lecture 1

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Explorez les attaques algébriques pour le problème du décodage de rang dans cette conférence mathématique approfondie, mettant l'accent sur les concepts clés et les techniques avancées.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
SNIAVideo

DNAe2c Error Correction Code for DNA Data Storage - 10x Improvement Over Reed Solomon Codes

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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.
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1 Lesons
49 minutes
On-Demand
Free-Video
Simons Institute

Cover Your Bases: Minimizing Sequencing Coverage in DNA Storage Systems

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Explores minimizing DNA sequencing coverage in storage systems, focusing on error-correcting codes and retrieval algorithms to reduce costs and latency while optimizing information retrieval efficiency.
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1 Lesons
50 minutes
On-Demand
Free-Video
Ryan O'Donnell

Great Ideas in Theoretical Computer Science - Polynomials

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Explore theoretical computer science through polynomials, covering fields, division, evaluation, interpolation, and error-correcting codes. Gain insights into fundamental concepts and their applications.
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23 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Simons Institute

Locally Testable Codes with Constant Rate, Distance, and Locality

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Explore breakthroughs in locally testable codes, focusing on constant rate, distance, and locality. Irit Dinur discusses high-dimensional expanders, Tanner codes, and local testability proofs.
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18 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Building Manifolds from Error Correcting Codes - IPAM at UCLA

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Explore the intersection of error correcting codes and manifold construction, delving into quantum error correction, topology, and complex mathematical concepts.
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16 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Simons Institute

High Dimensional Expanders - Introduction and Motivation

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Explore high-dimensional expanders, their applications in error-correcting codes, and the motivations behind this emerging field of mathematics and computer science.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
IMSA

Periods, Shafarevich Maps and Applications - Nodal Surfaces and Coding Theory

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Explore nodal surfaces and coding theory in K3 geometry. Learn about period maps, Torelli theorem, and binary codes in relation to polarized nodal K3 surfaces and their components.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Fields Institute

Monomial Ideals Arising from Graph Theory and Coding Theory

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Explore connections between monomial ideals, graph theory, and coding theory in this advanced mathematics talk by Keri Sather-Wagstaff from Clemson University.
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1 Lesons
22 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Codes from Polynomials Over Finite Fields

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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.
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20 Lesons
54 minutes
On-Demand
Free-Video
Simons Institute

Small-Set Expansion in the 2-Degree Short-Code Graph - The Easier Version

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Explore the intricacies of small-set expansion in the 2-degree short-code graph, focusing on an easier version of this complex mathematical concept.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
TheIACR

Coding Theory - Advances and Applications

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Explore cutting-edge advancements in coding theory and cryptography at this Crypto 2022 session, featuring expert discussions on innovative algorithms and security protocols.
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1 Lesons
1 hour 43 minutes
On-Demand
Free-Video
Simons Institute

Data Deduplication for Redundant Graph Structures Files

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Explore robust data deduplication techniques for sparse graph structures, connecting to classical combinatorial problems and their wide-ranging applications.
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1 Lesons
53 minutes
On-Demand
Free-Video
Simons Institute

Linear Programming and Semidefinite Programming in Coding Theory - An Incomplete Overview

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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.
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1 Lesons
51 minutes
On-Demand
Free-Video
Simons Institute

The Hermitian Trace Code - Advances in Error-Correcting Codes

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Explores character sum bias over high genus curves, strengthening Stepanov-Bombieri approach. Analyzes multiplicity in function fields using new 'universal derivative-fix' lemma.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

High Dimensional Expanders - HDXs

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Explore high-dimensional expanders, their mathematical foundations, and recent applications in computer science, including property testing, coding theory, and approximate counting.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
MUNI Seminar Series

Expanders in Higher Dimensions: From Local to Global Properties and Applications

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Explore high-dimensional expanders, their local-to-global properties, and applications in coding theory, networking, and computational complexity.
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18 Lesons
39 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Asymptotic Distribution of Frobenius Roots for Curves and Abelian Varieties

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Explore asymptotic distribution of Frobenius roots for curves and abelian varieties in this advanced mathematical lecture by Michael Tsfasman.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

An Overview of Algebraic Geometry Codes from Surfaces

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Explore algebraic geometry codes from surfaces, covering effective divisors, evaluation maps, minimum distance, and toric varieties. Gain insights into parameters, restrictions, and decoding techniques.
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24 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Simons Institute

Sparsification: Graphs, CSPs and Codes - Sublinear Graph Simplification

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Explore graph sparsification, CSP compression, and code sparsification techniques. Learn about cutting-edge research in sublinear graph simplification and its applications to various domains.
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1 Lesons
49 minutes
On-Demand
Free-Video
Simons Institute

Low Degree Testing over the Reals

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Explore low degree testing over real numbers, focusing on theoretical concepts and applications in local algorithms.
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1 Lesons
33 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Statistical Physics and Statistical Inference - Lecture 2

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Explore statistical physics and inference, covering Bayesian methods, error correction, spin glasses, and advanced algorithms like belief propagation. Gain insights into phase transitions and applications in machine learning.
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47 Lesons
1 hour 43 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Tradeoff Constructions for Quantum Locally Testable Codes

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Explore groundbreaking constructions for quantum locally testable codes, examining weight reduction, soundness amplification, and distance amplification techniques to achieve new parameter regimes in quantum error correction.
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1 Lesons
25 minutes
On-Demand
Free-Video
Centre for Networked Intelligence, IISc

Tight Bounds for General Computation in Noisy Broadcast Networks

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Delve into the mathematical analysis of noise-resilient protocols in broadcast networks, exploring tight bounds for general computation and innovative simulation schemes with Dr. Saxena.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre for Networked Intelligence, IISc

Codes for Unexpected and Expected Loads in Distributed Computing Systems

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Explore coding theory applications in distributed computing systems, focusing on erasure coding's role in handling unpredictable data access patterns and optimizing storage efficiency.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre for Networked Intelligence, IISc

The Capacity of Causal Adversarial Channels

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Explore the mathematical foundations of causal adversarial channels and their capacity constraints, focusing on discrete-time systems and state-based transitions in communication networks.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Centre for Networked Intelligence, IISc

Multiparty Interactive Coding over Networks of Intersecting Broadcast Links

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Delve into advanced network communication concepts, focusing on interactive coding schemes for broadcast channels with random bit-flip noise and strategies for optimizing multiparty computations.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Centre for Networked Intelligence, IISc

Coding Schemes for Input-Constrained Channels in Information Theory and Communication

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Explore coding schemes for binary input-constrained channels, focusing on RLL constraints, Reed-Muller codes, and error resilience in both stochastic and adversarial channel models.
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21 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Paul G. Allen School

Innovations in Theoretical Computer Science 2020 - Session 5

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Explore cutting-edge research in theoretical computer science, including secure computation, communication protocols, coding theory, and fault-tolerant algorithms presented at ITCS 2020.
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1 Lesons
1 hour 36 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Coding Theoretic Framework for Private Information Retrieval - SIAM SAGA Seminar

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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.
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17 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Efficient, Stable Presentations From Error-Correcting Codes

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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.
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1 Lesons
57 minutes
On-Demand
Free-Video
Simons Institute

PCPs and Global Hyper-contractivity - Lecture 1

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Explore advanced concepts in theoretical computer science, focusing on Probabilistically Checkable Proofs and global hyper-contractivity with expert Dor Minzer.
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1 Lesons
59 minutes
On-Demand
Free-Video
Simons Institute

PCPs and Global Hyper-contractivity - Lecture 2

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Explore advanced concepts in PCPs and global hyper-contractivity with Dor Minzer, delving into complex mathematical theories and their applications in analysis and theoretical computer science.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Simons Institute

PCPs and Global Hyper-contractivity - Lecture 1

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Explore advanced concepts in theoretical computer science, focusing on Probabilistically Checkable Proofs and global hyper-contractivity with expert Dor Minzer.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Institute

Approaching the Quantum Singleton Bound with Approximate Error Correction

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Explore efficient quantum codes approaching the Singleton bound, using approximate recovery and quantum list decoding with folded Reed-Solomon codes for near-optimal error correction.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Association for Computing Machinery (ACM)

Arikan Meets Shannon - Polar Codes With Near-Optimal Convergence to Channel Capacity

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Explore polar codes for efficient data transmission, examining their convergence to channel capacity and applications in binary-input discrete symmetric memoryless channels.
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13 Lesons
26 minutes
On-Demand
Free-Video
International Mathematical Union

Mathematics of Computation Through the Lens of Linear Equations and Lattices

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Explore mathematical foundations of computation through linear equations and lattices, covering error correction, vector problems, and lattice theory with implications for future computing.
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18 Lesons
45 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Oscillator-to-Oscillator Codes Do Not Have a Threshold

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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.
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8 Lesons
20 minutes
On-Demand
Free-Video
Simons Institute

Collision-Resistance from Multi-Collision-Resistance

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Exploring the transformation of multi-collision-resistant hash functions into collision-resistant hash functions, with insights on Reed-Solomon codes and cryptographic primitives.
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1 Lesons
49 minutes
On-Demand
Free-Video
Simons Institute

Overview of Code-Based Crypto Assumptions

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Explore code-based cryptography assumptions, including Hamming codes, decoding problems, and cryptosystems. Learn about security analyses and generic attacks in post-quantum cryptography.
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16 Lesons
50 minutes
On-Demand
Free-Video
Paul G. Allen School

2021 ITC Conference - Code Offset in the Exponent

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Explore novel fuzzy extractor construction using error-correcting codes and cryptographic groups, supporting MIPURS distributions for enhanced biometric authentication security.
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25 Lesons
23 minutes
On-Demand
Free-Video
Ryan O'Donnell

Hamming Code and Hadamard Code - Lecture 11c of CS Theory Toolkit

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Explore Hamming and Hadamard codes: linear error correction techniques with contrasting rate and distance properties. Learn their applications in theoretical computer science research.
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8 Lesons
22 minutes
On-Demand
Free-Video
Ryan O'Donnell

Quantum "Supremacy" - Lecture 25 of Quantum Computation at CMU

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Explore quantum supremacy, its challenges, and implications in computational theory. Delve into error correction, threshold theorems, and the potential of quantum systems.
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14 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Linux Foundation

Understand ECC Support for NAND Flash Devices in Linux

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Explore NAND flash ECC support in Linux, covering algorithms, engine missions, and configurations for robust error correction in storage devices.
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20 Lesons
36 minutes
On-Demand
Free-Video
IEEE

Deterministic and Efficient Interactive Coding from Hard-to-Decode Tree Codes

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Explore efficient interactive coding techniques using hard-to-decode tree codes, focusing on deterministic approaches and their applications in communication protocols.
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1 Lesons
25 minutes
On-Demand
Free-Video
IEEE

Optimal Document Exchange and New Codes for Insertions and Deletions

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Explore optimal document exchange techniques and innovative coding methods for handling insertions and deletions in data transmission and storage systems.
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1 Lesons
24 minutes
On-Demand
Free-Video
IEEE

Quasilinear Time List Decodable Codes for Space Bounded Channels

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Explore quasilinear time list decodable codes for space bounded channels, advancing understanding of efficient error correction in constrained environments.
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1 Lesons
22 minutes
On-Demand
Free-Video
IEEE

Reed-Muller Codes Polarize

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Explore the polarization phenomenon in Reed-Muller codes, uncovering their unique properties and potential applications in coding theory and information transmission.
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1 Lesons
22 minutes
On-Demand
Free-Video
IEEE

Complexity and Coding Theory - Session 6A

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Explore cutting-edge research in complexity and coding theory, delving into advanced mathematical concepts and their applications in computer science and information theory.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
IEEE

Coding Theory - Session 4A

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Explore cutting-edge advancements in coding theory, examining innovative approaches and their implications for information transmission and error correction in modern communication systems.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
IEEE

Relaxed Locally Decodable Codes - Part 2

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Explore advanced concepts in relaxed locally decodable codes, building on foundational knowledge to deepen understanding of this important area in coding theory.
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1 Lesons
36 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Fast Erasure Decoder for a Class of Quantum LDPC Codes - IPAM at UCLA

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Explore fast erasure decoding for quantum LDPC codes, focusing on hypergraph product codes and their potential to reduce qubit count in fault-tolerant quantum computers.
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1 Lesons
46 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

High-Dimensional Sipser-Spielman Codes - IPAM at UCLA

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Exploration of high-dimensional Sipser-Spielman codes, extending expander codes to cell complexes and cellular sheaves, with applications in quantum error correction and coding theory.
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1 Lesons
51 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Multivariate Goppa Codes - Applications in Cryptography and Error Correction

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Explore multivariate Goppa codes, their properties, and applications in cryptography and quantum error correction. Gain insights into advanced coding theory and its practical implications.
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1 Lesons
51 minutes
On-Demand
Free-Video
TheIACR

Lattices and Codes in Cryptography - TCC 2023 Session

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Explore cutting-edge research on lattices and codes in cryptography, featuring presentations from leading experts at the Theory of Cryptography Conference 2023.
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1 Lesons
58 minutes
On-Demand
Free-Video
Simons Institute

Algebraic Codes and Algorithms - Part II

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Explore advanced concepts in algebraic coding theory and algorithms, focusing on error-correcting codes and their practical applications in data transmission and storage.
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1 Lesons
1 hour
On-Demand
Free-Video
Simons Institute

Locality in Codes and Computation

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Exploring local algorithms in error-correcting codes and their impact on computational theory, from error detection to cryptocurrency applications. Challenges and future directions discussed.
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1 Lesons
47 minutes
On-Demand
Free-Video
Simons Institute

Sparsity and Privacy in Distributed Matrix Multiplication

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Explore advanced techniques for distributed matrix multiplication, focusing on sparsity and privacy considerations in large-scale computations.
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1 Lesons
27 minutes
On-Demand
Free-Video
Simons Institute

Service Rates of MDS Codes and Fractional Matchings in Quasi-Uniform Hypergraphs

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Explore distributed system performance metrics through service rate regions of MDS codes, connecting them to fractional matching polytopes in quasi-uniform hypergraphs for improved data storage and retrieval.
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1 Lesons
47 minutes
On-Demand
Free-Video
Simons Institute

Combinatorial Problems in Support Recovery for 1-bit Compressed Sensing

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Explore advanced techniques in 1-bit compressed sensing, focusing on combinatorial approaches to support recovery and their applications in coding theory.
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1 Lesons
28 minutes
On-Demand
Free-Video
Simons Institute

Coded Matrix Computation: Numerical Stability, Partial Stragglers, and Sparse Input Matrices

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Explore advanced techniques for high-dimensional matrix computations in distributed systems, addressing numerical stability, partial stragglers, and sparse input matrices.
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1 Lesons
43 minutes
On-Demand
Free-Video
Simons Institute

Polar Codes for IDS Channels

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Explore polar codes for IDS channels, addressing numerical instability, partial stragglers, and worker computation time in sparse matrix scenarios. Learn recent contributions to overcome these challenges.
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1 Lesons
39 minutes
On-Demand
Free-Video
Simons Institute

Quantized-Constraint Concatenation and the Covering Radius of Constrained Systems

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Explores novel error-correction framework for constrained systems, introducing Quantized-Constraint Concatenation and analyzing covering radius to improve DNA storage coding techniques.
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1 Lesons
27 minutes
On-Demand
Free-Video
Simons Institute

Generalized Staircase Codes With Arbitrary Bit Degree

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Explores advanced error correction coding for high-performance data transmission, focusing on generalized staircase codes with flexible bit protection and reduced decoding complexity.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Institute

Coding for DNA Storage with Nanopore Sequencing

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Explore theoretical foundations for synthetic DNA data storage using nanopore sequencing, including channel models, noise characteristics, and coding schemes for practical archival applications.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Institute

Low-Density Parity-Check Codes and Spatial Coupling for Quantitative Group Testing

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Explores sparse codes-on-graphs for quantitative group testing, proposing LDPC codes with single parity-check codes and spatial coupling. Analyzes performance improvements and compares schemes through density evolution.
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1 Lesons
35 minutes
On-Demand
Free-Video
Simons Institute

Mackay-Neal Codes for High-Speed Wireless and Free-Space Optical Links

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Explores rate-adaptive MacKay-Neal codes using protographs and distribution matchers for flexible, high-performance wireless and optical communication systems, achieving near-Shannon limit performance across various rates.
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1 Lesons
31 minutes
On-Demand
Free-Video
Simons Institute

Non-binary LDPC Codes for Information Reconciliation in QKD Protocols

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Explore new channel coding techniques for decentralized storage systems with adversarial nodes, focusing on non-binary LDPC codes in quantum key distribution protocols.
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1 Lesons
44 minutes
On-Demand
Free-Video
Simons Institute

Binary CSS-T Codes: Characterizations and Posets

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Explore characterizations and posets of binary CSS-T codes, delving into their mathematical properties and applications in coding theory.
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1 Lesons
28 minutes
On-Demand
Free-Video
Simons Institute

Dynamic Denoising for AMP Applied to Sparse Regression Inner Codes with Outer Codes

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Explores dynamic denoising in AMP for sparse regression codes with outer codes, discussing performance improvements, state evolution approximations, and extensions to multi-user scenarios and multiple measurement vectors.
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1 Lesons
36 minutes
On-Demand
Free-Video
Simons Institute

Precoded Polar Codes With High Error-Correction Capability

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Explore recent advancements in precoded polar codes, focusing on low-complexity design, high error-correction capability, and efficient decoding for improved communication systems.
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1 Lesons
30 minutes
On-Demand
Free-Video
Simons Institute

Towards Practical Polar Codes with Low Scaling Exponent

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Explore advanced techniques for improving polar codes, focusing on reducing scaling exponents and enhancing practical implementations in coding theory.
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1 Lesons
28 minutes
On-Demand
Free-Video
Simons Institute

Construction and Decoding of Short Codes

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Explore advanced techniques for constructing and decoding short-length codes, including staircase matrix codes, ordered statistic decoding, and innovative algorithms for polar codes.
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1 Lesons
43 minutes
On-Demand
Free-Video
Simons Institute

Parameterized Inapproximability of the Minimum Distance Problem over All Fields

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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.
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1 Lesons
48 minutes
On-Demand
Free-Video
Simons Institute

List-Decoding Random Code Ensembles - Advances in Error-Correcting Codes

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Explore advanced error-correcting code theory, focusing on list-decoding techniques for random code ensembles. Gain insights into cutting-edge research in coding theory.
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1 Lesons
46 minutes
On-Demand
Free-Video
Simons Institute

An Exponential Lower Bound for Linear 3-Query Locally Correctable Codes

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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.
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1 Lesons
45 minutes
On-Demand
Free-Video
Simons Institute

Fast List-Decoding of Univariate Multiplicity and Folded Reed-Solomon Codes

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Explore advanced techniques for efficient list-decoding of Reed-Solomon codes, focusing on univariate multiplicity and folded variants in error-correcting code theory.
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1 Lesons
52 minutes
On-Demand
Free-Video
Simons Institute

Tree Codes - Advances in the Theory of Error-Correcting Codes

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Explore error-correcting codes and their theoretical advancements, focusing on tree codes and their applications in communication systems.
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1 Lesons
46 minutes
On-Demand
Free-Video
Simons Institute

Relaxed Local Correctability from Local Testing

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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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1 Lesons
37 minutes
On-Demand
Free-Video
Simons Institute

Coding Theory in Almost Linear Time and Sublinear Space

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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.
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1 Lesons
44 minutes
On-Demand
Free-Video
Simons Institute

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

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Explore asymptotically good relaxed locally correctable codes with improved query complexity, advancing error-correcting code theory through novel techniques and insights.
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1 Lesons
42 minutes
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Free-Video
Simons Institute

Codes with the Multiplication Property - Advances in Error-Correcting Codes Theory

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Explore error-correcting codes with multiplication properties, focusing on recent advancements and theoretical implications in coding theory.
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1 Lesons
46 minutes
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Free-Video
Simons Institute

Dual of Evaluation Codes in Error-Correcting Theory

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Explore the mathematical concept of dual codes in error correction, focusing on evaluation codes and their properties in coding theory.
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1 Lesons
41 minutes
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Simons Institute

Constant Query Local Decoding Against Deletions Is Impossible

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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.
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1 Lesons
41 minutes
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Free-Video
Simons Institute

Binary Codes with Resilience Beyond 1/4 via Interaction

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Explore advanced error-correcting codes for two-way communication, achieving resilience beyond 1/4 corruptions with constant rate and minimal receiver interaction.
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1 Lesons
40 minutes
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Simons Institute

Signal, if You Can't - Error Correction in Fully Corrupted Networks

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Explore signaling methods for performing computations in asynchronous networks with corrupted messages, focusing on error-correction techniques for damaged transmissions.
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1 Lesons
47 minutes
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Simons Institute

Gilbert and Varshamov Meet Johnson - List Decoding Nearly-Optimal Binary Codes

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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.
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1 Lesons
39 minutes
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Simons Institute

Binary Error Correcting Codes with Minimal Noiseless Feedback

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Explores optimal constructions and lower bounds for limited feedback error-correcting codes, improving upon classical models for both error and erasure settings.
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1 Lesons
35 minutes
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Simons Institute

List Decoding of Tanner and Expander Amplified Codes

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Explore advanced error-correcting code techniques, focusing on list decoding for Tanner and expander amplified codes, with insights from Shashank Srivastava's research.
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1 Lesons
48 minutes
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Simons Institute

Back to the Future: The Evolution of Coding Theory Through Reed Muller Codes

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Explore the evolution of coding theory through Reed Muller codes, from sphere packing to iterative algorithms and quantum computing applications.
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1 Lesons
50 minutes
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