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#Error-Correcting Codes

Showing: 57 courses
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

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
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
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
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
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
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
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
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
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

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

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

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
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

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
On-Demand
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
On-Demand
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
On-Demand
Free-Video
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
On-Demand
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
On-Demand
Free-Video
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
On-Demand
Free-Video
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
On-Demand
Free-Video
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
On-Demand
Free-Video
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
On-Demand
Free-Video
Simons Institute

Logical Quantum Processor Based on Reconfigurable Atom Arrays

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Explores advancements in quantum computing using neutral atom arrays, demonstrating improved error correction and logical qubit processing for enhanced algorithmic performance.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Simons Institute

Higher Order MDS Codes - Advances in Error-Correcting Code Theory

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Explore advanced concepts in error-correcting codes, focusing on Higher Order MDS Codes and their applications in data integrity and communication systems.
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1 Lesons
49 minutes
On-Demand
Free-Video
Simons Institute

Near-Tight Bounds for 3-Query Locally Correctable Binary Linear Codes via Rainbow Cycles

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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.
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1 Lesons
43 minutes
On-Demand
Free-Video
Fields Institute

Algebra in Algorithmic Coding Theory

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Explore algebraic techniques in algorithmic coding theory, focusing on error-correcting codes and their applications in computer science and information theory.
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1 Lesons
39 minutes
On-Demand
Free-Video
IEEE

LDPC Codes Achieve List Decoding Capacity

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Explores LDPC codes' list-decoding capacity, discussing error correction, code families, and local properties of random linear codes. Presents new findings and open problems in coding theory.
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9 Lesons
23 minutes
On-Demand
Free-Video
Devoxx

Information Storage in DNA

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Explore DNA as a revolutionary digital storage medium, its potential for long-term archiving, and recent advances in genome science for preserving vast amounts of information.
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18 Lesons
29 minutes
On-Demand
Free-Video
USENIX

HashTag - Hash-based Integrity Protection for Tagged Architectures

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Innovative hash-based error detection and correction technique for DRAM, enabling efficient implementation of tagged memory architectures while maintaining strong data integrity protection.
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1 Lesons
15 minutes
On-Demand
Free-Video
TheIACR

A Key Recovery Attack on MDPC with CCA Security Using Decoding Errors

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Explore key recovery attacks on MDPC codes with CCA security, focusing on decoding errors and their implications for cryptographic systems.
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15 Lesons
23 minutes
On-Demand
Free-Video
TheIACR

Cryptography, Local Decoding, and Distributed Storage

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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.
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18 Lesons
48 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Projective Reed Muller Codes Revisited

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Explore projective Reed Muller codes with Sudhir Ghorpade, revisiting key concepts and recent developments in algebraic coding theory.
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1 Lesons
35 minutes
On-Demand
Free-Video
QuICS

New Algebraic Attacks on the McEliece Cryptosystem - Invited Talk

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Explore cutting-edge algebraic attacks on the McEliece cryptosystem in this invited talk by Jean-Pierre Tillich at PQCrypto 2023.
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1 Lesons
56 minutes
On-Demand
Free-Video
Institute for Advanced Study

Local-to-Global Theorems on High Dimensional Expanders

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Explore high dimensional expansion theory, from graph fundamentals to complex applications in error-correcting codes and PCPs, focusing on how local properties influence global behaviors in mathematical structures.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video