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Coding: From Practice to Theory

storage engineers, distributed systems engineers, coding theory researchers, reliability engineers, hardware designers, data center architects

polar codes finite-length performance; spatially coupled LDPC codes; locally recoverable codes constructions; erasure codes for streaming communication; codes for DNA-based storage; multi-version coding for storage systems; STAIR sector-and-device codes; deletion codes in high-noise regimes; sparse superposition codes for AWGN; approximate message passing for compressed sensing; CRC-aided list decoding implementations; deterministic rateless codes for BSC

titleauthorlength
Statistical Estimation on GraphsAndrea Montanari31m
Random LDPC code (rate 1/2, degree 3/6) shows a sharp gap between the local decoder threshold (belief propagation) and the information-theoretic threshold…
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Are Polar Codes Practical?Warren Gross30m
Successive cancellation decoding is serial and looks like N log N work but schedules down to about N and then to a small constant number of PEs, so hardware is…
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The Edge Removal ProblemMike Langberg30m
Asks whether removing a directed edge of capacity δ always reduces every achievable rate by at most δ and frames an edge removal conjecture that is open…
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Multi-version Coding and Shared Memory EmulationViveck Cadambe31m
Compares ABD replication to a formal multiversion coding model with n servers, V versions, C connectivity and shows coding must store multiple versioned…
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Structural Properties of Erasure Codes for Streaming CommunicationAshish Khisti31m
Defines a sliding-window channel model that allows either a burst of length B or up to N isolated erasures in any window W and proves an upper bound…
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New Problems in Coding Theory with Applications to Modern Data Storage and MemoriesLara Dolecek34m
Measurements on a TLC device (TLC (3 bits/cell)) show raw wear-out can kill lifetime in months and errors concentrate as one bit per symbol. A construction…
Talk
A Theory of PolarizationEmre Telatar31m
Constructive proof that repeated two-channel transform produces synthetic channels whose capacities polarize to near 0 or 1 and whose fraction of near-1…
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Codes for Distributed Storage: Recent ResultsP Vijay Kumar27m
Two concrete results: a high‑rate MSR construction that achieves rate = (T-1)/T with n = T·Q, k = (T-1)Q, d = n−1 and sub‑packetization alpha = Q^T, beta =…
Talk
Storage Codes and Data RetrievalEmina Soljanin29m
Compares queuing models for coded storage and measures download latency using simulations and analysis: a 10K fork-join simulation with K=1,5,10 shows…
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STAIR Codes: A General Family of Erasure Codes for Tolerating Device and Sector Failures in ...Patrick Pat-Ching Lee30m
Proposes Stair codes: a family that combines two MDS codes (row and column) to tolerate m full-disk failures plus a bounded pattern of s sector failures…
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Spatial Coupling vs. Block Coding: A ComparisonDaniel Costello31m
Describes spatially coupled LDPC constructed from protographs by edge spreading (example m=2) and lifted with permutation matrices, showing threshold…
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Coding for DNA-based Storage SystemsOlgica Milenkovic36m
Built a working rewritable and random-access DNA storage prototype that stores UIUC/Wikipedia fragments, uses G‑block assembly, overextension PCR for editing…
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Coding Theory for Scalable Media DeliveryMichael Luby33m
Claims useable fountain coding: a RaptorQ systematic fountain code is broadcast as repair symbols only while devices fetch small HTTP prefixes to complete…
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Deletion Codes in the High-noise and High-rate RegimesCarol Wang33m
Constructs explicit deletion codes using explicit concatenated construction that pairs a Reed-Solomon outer + dense inner code with small constant headers or…
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Locally Recoverable Code Constructions and Some ExtensionsItzhak Tamo34m
Constructs LRCs that meet the distance bound with equality while keeping field size ~ n, using a Reed‑Solomon style encoding where a degree‑(r+1) polynomial G…
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List Recovery and Local Decoding of Expander CodesMary Wootters27m
Shows that taking a D‑regular Ramanujan expander and an inner code with modest local structure yields an outer Tanner/expander code with concrete guarantees…
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Polar Codes over q-ary Alphabets and Polynomially Fast Convergence to Shannon CapacityAmeya Velingker34m
Shows that q-ary polar codes over prime-size alphabets achieve capacity with block length polynomial in 1/epsilon and encoding/decoding time N log N, but the…
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A Student's View of Locally Repairable CodesArya Mazumdar27m
Student-oriented survey argues that locality forces the same gap to erasure‑channel capacity as LDPC codes, proving locality must grow like log(1/ε) when rate…
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Reed-Muller and Other Subcodes of the Sierpinski MatrixEmmanuel Abbe32m
Reed–Muller rows are reinterpreted via the Sierpinski tensor and a polarization of conditional ranks to build explicit parity matrices that meet a…
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Non-malleable Codes Against Constant Split-state TamperingDavid Zuckerman30m
Constructs the first explicit constant-rate for c=10 non-malleable code in the c split-state model, with exponentially small error and an efficient encoder…
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Deterministic Rateless Codes for BSCGuy Even32m
Explicit rateless construction for the binary symmetric channel that outputs a systematic infinite generator matrix whose next row is computed…
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Sparse Superposition Codes for the AWGN Channel, Message Passing, Replica and Spatial CouplingFlorent Krzakala37m
Sparse superposition codes encode messages as L sections of size B with one nonzero entry, then multiply by a random or Hadamard matrix and send over AWGN…
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Symmetric Product CodesHenry Pfister33m
Defines a half product code as the antisymmetric subcode of a square product code: entries on the diagonal are forced to zero so length and dimension drop…
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Gap to Capacity of Finite Length Polar CodesDavid Burshtein33m
Extends finite-length polar scaling from binary to q-ary channels and gives a concrete numerical method: compute a concave upper bound on the…
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