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Application-Driven Coding Theory 2024

coding theorists, storage engineers, wireless communications engineers, information theorists, quantum error-correction researchers, bioinformatics researchers, distributed systems engineers

polar code design and precoding; ldpc for flash and storage; mutual-information read threshold optimization; locally repairable convertible codes; maximally recoverable codes; dna storage coding with nanopore sequencing; erasure coding for low-latency interaction (RaptorQ); coded matrix computation and partial stragglers; staircase matrix codes and low-latency decoding; quantized-constraint concatenation and covering radius; non-binary ldpc for QKD reconciliation; css-t and magic-state distillation algebra

titleauthorlength
Learning To CommunicateRobert Calderbank42m
Claims that a Zak-OTFS waveform (a pulse quasi‑periodic in delay‑Doppler, produced by an inverse Zak transform) yields a predictable I/O relation and…
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Maximizing Mutual Information in Flash MemoriesRichard Wesel41m
Argues that placing read thresholds and write levels by maximizing mutual information yields near-optimal LDPC FER for real flash, using a greedy chain-rule…
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Precoded Polar Codes With High Error-Correction CapabilityVera Miloslavskaya30m
Claims low-complexity recipes to design precoded polar codes that hit both high error-correction capability and low SCL decoding complexity, with concrete…
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Construction And Decoding Of Short CodesXiao Ma43m
Introduces staircase matrix codes whose generator/parity structure permits parallel Gaussian elimination, enabling an OSD-like decoder with low latency and…
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Massive scaling in 6G designsJing Jiang55m
Timeline: 5G launched commercially ~2019 and release 18 = 5.5G features arrive now, with a study item mid-2025 and 6G products expected 2027+. Claim…
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Practical Error Control Coding For Data StorageMats Öberg59m
HDD systems claim about 90% of data-center capacity and use turbo equalization with SOVA + LDPC running ~3–4 iterations per codeword, sweet-spot rates near 90%…
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Convertible codes: Adaptive coding for large-scale data storageRashmi Vinayak51m
Introduces Locally Repairable Convertible Codes that combine local repairability with on-the-fly parameter changes and claims practical gains: prototype…
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Towards Practical Polar Codes With Low Scaling ExponentPeter Trifonov28m
Construction uses generalized concatenation: permuted Arıkan inner kernels combined with Reed‑Solomon outer kernels and recursive ML kernel processing based on…
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Toward Efficient Genomic Compression Using Channel Codes For Joint Alignment And ReconstructionYuval Cassuto34m
Proposes a low-complexity compression pipeline that keeps the reference only at the cloud (decoder-only reference) and encodes short samples so alignment and…
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Using Erasure Codes to Enable Interactions over NetworksMichael Luby38m
Claim: using erasure coding instead of retransmit cuts interactive latency and removes stalls on wireless links. Implementation uses the standardized RaptorQ…
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Binary CSS-T codes: characterizations and posetsGretchen Matthews28m
Gives an equivalent, actionable characterization of binary CSS-T pairs: a pair C1 ⊇ C2 is CSS-T exactly when C2 ⊆ C1 ∩ (C2^2)⊥, replacing the original…
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Algebraic Coding Problems From Quantum Fault-ToleranceNarayanan Rengaswamy31m
Shows that non-Clifford gates are handled by magic-state distillation and gives the algebraic condition (CSS-T) needed for a code to be preserved by…
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Mackay-Neal Codes For High-Speed Wireless And Free-Space Optical LinksGianluigi Liva31m
Rate-adaptive MacKay‑Neal constructions use an outer distribution matcher plus a single protograph LDPC inner code to get variable rates at fixed blocklength…
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Interleaved Codes For CryptographyAntonia Wachter-Zeh31m
Interleaving increases decoding radius: vertical interleaving gives guaranteed unique decoding when the interleaving order l ≥ error rank t, turning many…
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Dynamic Denoising For Amp Applied To Sparse Regression Inner Codes With Outer CodesJean-Francois Chamberland36m
Concise claim: embedding LDPC structure into the AMP denoiser via belief propagation yields measurable finite-length gains versus separate decoding, with…
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Non-binary LDPC codes for Information Reconciliation in QKD ProtocolsLara Dolecek44m
Presents optimized nonbinary LDPC designs that use an NB-MLCa split of Q-bit symbols and interleaved decoding to trade complexity for performance, evaluated on…
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Low-Density Parity-Check Codes And Spatial Coupling For Quantitative Group TestingMichael Lentmaier35m
Replaces BCH constraint nodes with single parity-check codes inside a sparse graph GT scheme, adds spatial coupling, and runs density evolution plus…
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Cover Your Bases: How To Minimize The Sequencing Coverage In Dna Storage SystemsEitan Yaakobi50m
Storage reading currently costs about $120/GB, so the work targets lowering sequencing reads (coverage depth) and latency. Main claims: the expected number of…
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Quantized-Constraint Concatenation And The Covering Radius Of Constrained SystemsMoshe Schwartz27m
Quantized-Constraint Concatenation (QCC) treats the constrained-encoder as an irreversible quantizer that embeds ECC codewords into the constraint and counts…
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Polar Codes For Ids ChannelsIdo Tal39m
Coding scheme for the deletion channel uses long guard bands of zeros inserted recursively, trellis-based decoding and a bespoke trim deletion channel for…
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Coding For Dna Storage With Nanopore SequencingEmanuele Viterbo50m
Uses Oxford Nanopore nanopore reads and the Scrappie emulator to model squiggles as noisy, randomly stretched current traces with pore memory moving from 5 to…
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Coded matrix computation: numerical stability, partial stragglers and sparse input matricesAditya Ramamoorthy43m
Introduces a real-valued coding scheme that embeds rotation and circulant permutation matrices so Vandermonde-like decoding matrices have unit-circle…
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Approximate coding computingStark Draper32m
Describes concrete schemes that trade fidelity for speed by producing an approximate matrix product in stages then exact recovery later, using MatDot-like…
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Combinatorial Problems in Support Recovery for 1-bit Compressed SensingArya Mazumdar28m
One-bit compressed sensing support recovery needs far more non-adaptive, universal measurements than information theory suggests: prior lower bounds are about…
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Service Rates Of Mds Codes & Fractional Matchings In Quasi-Uniform HypergraphsEmina Soljanin47m
Shows that the service-rate region of an [n,k] code equals a linear-image of the fractional-matching polytope of a hypergraph built from the generator matrix…
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Sparsity and Privacy in Distributed Matrix MultiplicationRawad Bitar27m
Claims that perfect information-theoretic privacy forces dense shares for sparse A,B, and that relaxing privacy lets shares keep zeros while leaking a tunable…
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Graph Neural Networks for Classical and Quantum Channel CodingSebastian Cammerer34m
The work introduces a fully differentiable GNN decoder that replaces node and edge updates with shared small MLPs (≈2k params each, ≈9–10k total) trained by…
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High-Rate Fair-Density Parity-Check CodesHessam Mahdavifar41m
Introduces a deterministic construction: a base matrix with two-ones columns with about 2√n rows, then stack permuted copies to get high-rate codes whose…
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Data Deduplication For Redundant Graph Structures FilesOlgica Milenkovic53m
Investigates deduplication vs retrieval fragmentation by modeling files as self-avoiding walks on a graph and measuring worst-case chunk-read expansion. Proves…
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Private Information Retrieval: Chasing Capacity with Algebraic CodesCamilla Hollanti34m
Presents a coding-theory approach that frames queries as codewords and uses a star product of storage and query codes to turn responses into decodable…
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Maximally Recoverable CodesLalitha Vadlamani37m
Defines three MRC families—locality, hierarchical locality, and tensor/product topologies—and gives explicit constructions that use k-wise independence and…
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