Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:34:52.411585Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 3 inbound Pith citation observations for arXiv:2504.15394.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:34:52.411585Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T12:53:27.551431Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-10T09:43:48.820229Z
44 of 44 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f0da60ba-57d1-4b58-85dc-1f2d002002e0 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Application of Boolean algebra to switching circuit design and to error detection,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 84998ad2-b09a-4674-9e5e-fd68588c6091 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting A class of multiple-error-correcting codes an d the decoding scheme,
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 68edc7ad-62c7-47fe-bbbe-aa9bd2aef1d9 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed-Muller code s for random erasures and errors,
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 231554cb-3077-45d0-a1fa-999ec3b107be · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed-Muller codes achieve capacity on erasure channels,
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cab22e26-2151-455a-8fb0-820a54e38327 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed-Muller codes achieve capacity on erasure channels,
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b770b64b-0f08-4ca6-9c34-7deef9aba858 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed-Muller codes polarize,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4e6bd0d7-6ae7-4f3b-9898-e5fb9a6e1530 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting On codes dec oding a constant fraction of errors on the BSC,
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cddc529e-ceac-4b27-8973-03a5be149392 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed–Muller codes on BMS chan nels achieve vanishing bit-error probability for all rates below capacity,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c369960d-eb84-44ef-95b6-cb4a94c0bdc0 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting A proof that Reed-Muller codes ach ieve Shannon capacity on symmetric channels,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1df94711-8dbe-4f58-bd2e-5450ef005fe1 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed–Muller C odes,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 74faa1de-ef6c-4666-b8bb-49e1d84ecec0 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Beyond doubl e transitivity: Capacity-achieving cyclic codes on erasur e channels,
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 097acbf4-aaba-4972-a6e3-717d38e8f21c · outbound
Capacity on BMS Channels via Code Symmetry and Nesting O’Donnell, Analysis of boolean functions
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d307e60c-f8de-40b2-9748-d0745825ff5f · outbound
Capacity on BMS Channels via Code Symmetry and Nesting The influence of variab les on boolean functions,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bf3aea3d-0655-4985-82f7-041d2e3d3f71 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting On Russo’s approximate zero-one law,
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5b7fa62e-cba5-4027-9949-f8a1dbf23c3a · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Every monotone graph propert y has a sharp threshold,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c9236595-d625-4d9a-8552-8dea9b503981 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Influences of variables and th reshold intervals under group symmetries,
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 845fb4a4-d46d-4f00-899e-843fee3283d2 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting An upper bound on ℓq norms of noisy functions,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 518d52ae-719c-4fde-b84c-fce2b7f01aa7 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Achieving capacity on non-b inary channels with generalized Reed–Muller codes,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3f283cce-3aa8-401c-aaac-da74a1c064f6 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed-Muller codes: Thresholds and wei ght distribution,
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d1cf4e5b-f983-4c5b-80a9-0ee7c32fb1b4 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Threshold effects in codes,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 90a00ea6-18cb-420f-81dd-4cf9599676b7 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Probabilistic characteristics of gra phs with large connectivity,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8a1b6041-c4d1-4f79-8ae1-078679b31cc9 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Discrete isoperimetric in equalities and the probability of a decoding error,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 753fecb1-eab7-46f0-b091-c35cb6db6d0f · outbound
Capacity on BMS Channels via Code Symmetry and Nesting The Gaussian isoperimetri c inequality and decoding error probabilities for the Gauss ian channel,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1c7aab1f-641a-4ab7-8512-5137e8fb435d · outbound
Capacity on BMS Channels via Code Symmetry and Nesting On the performance of Reed-Mu ller codes with respect to random errors and erasures,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0744a589-177e-4a97-810c-36cffcd18028 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting ¸ Sa¸ so˘glu, Polar Coding Theorems for Discrete Systems
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bc3693a2-03fc-438e-9b0e-2bd539adadd5 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation eed350d5-46ae-4c30-a570-d62bb781e76a · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Recursive projection-aggregation d ecoding of Reed-Muller codes,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c32127a8-480d-4603-b4b9-ec2a6fa98562 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting An Analysis of RPA Decoding of Reed-Muller Codes Over the BSC
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a95bd0d2-b43c-4735-986c-bc489e240c13 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Recu rsive subproduct codes with Reed-Muller-like structure,
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 499c040b-32f5-47e0-81e9-6e01a1bc79b7 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Berman codes: A genera lization of Reed–Muller codes that achieve BEC capacity,
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e47a4e96-54f0-4eef-be02-4abdf3dde148 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed–Muller codes achieve c apacity on the BEC: A tutorial introduction,
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3b750b4a-4bb7-42b9-aabc-5d28bc34002d · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed-Muller Codes on BMS Channels Achieve Vanishing Bit-Error Probability for All Rates Below Capacity
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a078c621-47d7-4f56-95c1-a2f42a5e6923 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Extrinsic in formation transfer functions: model and erasure channel pr operties,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b957840b-f3e4-4f52-9872-7ada166d630b · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed-Muller codes have vanishing bit-error probability below capacity: a simple tighter proof via camellia boosting
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27bd01d3-72f2-405e-86f2-666a1a0f6406 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Anatharam
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ea8dfa81-bafc-4d5a-91aa-172d0933869e · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Comparing the bit-MAP and block-MAP decoding thr esholds of Reed-Muller codes on BMS channels,
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9b8c867b-da9c-412f-a70f-ddd3898d331a · outbound
Capacity on BMS Channels via Code Symmetry and Nesting From Bit to Block: Decoding on Erasure Channels
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 363f72ee-7c82-4952-a476-8190326f3917 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Reed-Muller Codes on CQ Channels via a New Correlation Bound for Quantum Observables
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 30f16554-2f84-4f08-8a5a-95c48032e35e · outbound
Capacity on BMS Channels via Code Symmetry and Nesting On the normal approximation to s ymmetric binomial distributions,
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cc3be097-56bd-49f6-895b-afe7bbbcd02b · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Cyclic orbit codes,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation dcd04eea-2931-49e8-8ba4-ebc0096ee418 · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Convergence of iterative decoding,
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7cec4d59-4567-4b93-adad-167b9acaffcb · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Maxwell co nstruction: The hidden bridge between iterative and maximu m a posteriori decoding,
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 901c4498-057c-4fab-8836-0e19525d67fa · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Boolean functions with low average sensi tivity depend on few coordinates,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 723719ad-d55a-4456-87ae-be636509e8dd · outbound
Capacity on BMS Channels via Code Symmetry and Nesting Unresolved cited work
Reference 2011
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 39682bf8-dfb3-4da1-b377-fe589369e85b · inbound
Reed--Muller Codes Achieve the Symmetric Capacity on Finite-State Channels Capacity on BMS Channels via Code Symmetry and Nesting
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 22f5852b-e06e-4d6a-9f06-a7cc57b3d5d1 · inbound
Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Capacity on BMS Channels via Code Symmetry and Nesting
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ad5161d0-32c4-4d8c-a342-6454fcd9be3b · inbound
Improved Strongly Polynomial Work-Span Tradeoffs for Directed Single Source Shortest Paths Capacity on BMS Channels via Code Symmetry and Nesting
Reference 89
Source-reported events for the cited work
Unavailable: canonical work link unavailable.