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Paper Citation Record · LEDGER

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel

As of 21 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.09602.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.09602 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T01:48:59.942574Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

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Reference resolution

40 of 40 outbound references displayed

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Outbound references

Observation a869837e-934c-41c7-9fda-ec48ebd0a6eb · outbound

This paper cites Application of boolean algebra to switching circuit design and to error detection,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Application of boolean algebra to switching circuit design and to error detection,

Reference 1

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:531632627c641751c7231e8ee3b10e69685d69ba2ee6cf0c85c00b1d60ec920a

Observation d3fef5f6-ba40-4050-8997-372950f99110 · outbound

This paper cites Reed–Muller codes achieve capacity on erasure channels,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Reed–Muller codes achieve capacity on erasure channels,

Reference 2

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:f0d6c41002bdfa21918ae957b86a1f697e2fe34ba80904f313c468fa5d195ca6

Observation ba6625ee-6d0f-4802-aa79-ccfddb70ee44 · outbound

This paper cites Reed–Muller codes for random erasures and errors,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Reed–Muller codes for random erasures and errors,

Reference 3

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Observation 3c44b395-3fd0-4166-95e2-265ad81631da · outbound

This paper cites On the performance of Reed-Muller codes with respect to random errors and erasures,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel On the performance of Reed-Muller codes with respect to random errors and erasures,

Reference 4

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:3c209482facecef4ff5c7a3908a06c4723b3451f765f44a7f0142eba27977e87

Observation 508aeacc-35cc-47b7-b261-46d317057383 · outbound

This paper cites Reed–Muller codes on BMS channels achieve vanishing bit-error probability for all rates below capacity,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Reed–Muller codes on BMS channels achieve vanishing bit-error probability for all rates below capacity,

Reference 5

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:ee2a367675694865ac6c7f33fc6ddb0e97f8e1449400ab94d17542f434c57549

Observation 69b67b87-c7cf-417d-984b-69f5c3f92a7b · outbound

This paper cites A proof that Reed-Muller codes achieve Shannon capacity on symmetric channels,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel A proof that Reed-Muller codes achieve Shannon capacity on symmetric channels,

Reference 6

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:b78a63f59d0131a6c70a309576b8ad693ae52ccf9ce73d3fd2f99d332cc27604

Observation 8c4dfdb4-0ace-48ae-a3bf-d34cfc40c501 · outbound

This paper cites Polynomial Freiman-Ruzsa, Reed-Muller codes and Shannon capacity,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Polynomial Freiman-Ruzsa, Reed-Muller codes and Shannon capacity,

Reference 7

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:587f1aa3ea9a75144ff1d54781561eaf5d255ab5c5a20e4a04a787eaee6b50ed

Observation 22f5852b-e06e-4d6a-9f06-a7cc57b3d5d1 · outbound

This paper cites Capacity on BMS Channels via Code Symmetry and Nesting.

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

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:d4cc5a4d546af4f1b7a79f08c6bdffa9cb32ab384a7efae626df3476c9ad1bf0

Observation b7006c69-2053-4818-bed6-608d949292d4 · outbound

This paper cites A survey of Reed-Muller codes from polar coding perspective,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel A survey of Reed-Muller codes from polar coding perspective,

Reference 9

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:88b6a6f657217450037b86774944bba4f80134737287122e730068a428675c7b

Observation 31c5bb09-c041-42a7-b4d9-1f3855eae423 · outbound

This paper cites Reed-Muller codes polarize,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Reed-Muller codes polarize,

Reference 10

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Observation 37c58fa0-e54a-4596-a497-1d9200ea47c0 · outbound

This paper cites A class of multiple-error-correcting codes and the decoding scheme,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel A class of multiple-error-correcting codes and the decoding scheme,

Reference 11

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Observation 60d3c6c1-c0ab-4c8f-9b47-08e8dbe0ca1e · outbound

This paper cites A serial orthogonal decoder,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel A serial orthogonal decoder,

Reference 12

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:0f53b5cee10c2f7e52d4169b956f2dcd054fd927d8d3820486e9e8759b8f9401

Observation 68938794-f67a-4ce9-82da-4aa36dbddbe2 · outbound

This paper cites Optimal soft decision block decoders based on fast Hadamard transform,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Optimal soft decision block decoders based on fast Hadamard transform,

Reference 13

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Observation 3ae67d97-a542-418c-988c-8557f85aa44c · outbound

This paper cites Soft-decision decoding of Reed-Muller codes: recursive lists,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Soft-decision decoding of Reed-Muller codes: recursive lists,

Reference 14

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:28a86818c195326ce929f056c74802b36837bdb5358bcc5bef5111ad91cc8ee0

Observation 62d2028e-a63c-4ebd-9b1b-b6dbc7a64e5b · outbound

This paper cites Recursive projection-aggregation decoding of Reed-Muller codes,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Recursive projection-aggregation decoding of Reed-Muller codes,

Reference 15

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:8f31937ddfb07a409fa3dfad8f084a4a0818f45154dc0546891ac06e8faea477

Observation 17e542b8-455e-4aae-a7c7-7eacceda7510 · outbound

This paper cites An upper bound on the error probability of RPA decoding of Reed-Muller codes over the BSC,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel An upper bound on the error probability of RPA decoding of Reed-Muller codes over the BSC,

Reference 16

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:91806e6616680ae2aa9bb9c847b28c46a8255d304c4d7458f995a57b9e255caa

Observation e1fe13ca-ed65-4167-aea6-a77e08dcda3f · outbound

This paper cites On the error probability of RPA decoding of Reed-Muller codes over BMS channels,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel On the error probability of RPA decoding of Reed-Muller codes over BMS channels,

Reference 17

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Observation 5a3abd05-a57c-4638-9196-b6c855d232e5 · outbound

This paper cites Coset error pattern in projection-aggregation decoding,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Coset error pattern in projection-aggregation decoding,

Reference 18

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Observation ec3fd2a7-9380-46b0-9f63-b6da3ae22d17 · outbound

This paper cites Decoding Reed–Muller codes using redundant code constraints,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Decoding Reed–Muller codes using redundant code constraints,

Reference 19

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Observation e534c7be-87d5-48e6-8527-bab653207763 · outbound

This paper cites Pruned Collapsed Projection-Aggregation Decoding of Reed-Muller Codes.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Pruned Collapsed Projection-Aggregation Decoding of Reed-Muller Codes

Reference 20

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Observation e1247045-fb58-44fb-bef2-d0b37f2cc817 · outbound

This paper cites Minimum distance decoding for Reed-Muller codes using projection-aggregation,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Minimum distance decoding for Reed-Muller codes using projection-aggregation,

Reference 21

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Observation 120afd4d-1585-4b47-be10-a579738517c6 · outbound

This paper cites A layered CPA decoder for Reed-Muller codes,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel A layered CPA decoder for Reed-Muller codes,

Reference 22

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Observation 220931a7-70a6-4eb2-95c2-f727f0b20b8f · outbound

This paper cites Reed–Muller codes: Theory and algorithms,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Reed–Muller codes: Theory and algorithms,

Reference 23

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Observation 909126be-9bc3-4e90-b0cb-a82cfe1fe969 · outbound

This paper cites Reduced-complexity projection-aggregation list decoder for Reed-Muller codes,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Reduced-complexity projection-aggregation list decoder for Reed-Muller codes,

Reference 24

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Observation 37648b69-5b85-4a06-8b1c-2327c0040dc0 · outbound

This paper cites Iterative decoding of binary block and convolutional codes,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Iterative decoding of binary block and convolutional codes,

Reference 25

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Observation 9dcea2d5-e4c3-4956-be27-5807901f0614 · outbound

This paper cites The capacity of low-density parity-check codes under message-passing decoding,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel The capacity of low-density parity-check codes under message-passing decoding,

Reference 26

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Observation 4ee89e7c-4a3f-48c1-bcf7-7dd0649935d7 · outbound

This paper cites Cambridge university press, 2008.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Cambridge university press, 2008

Reference 27

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:55d3f16886ce2e20b7c36f3e5c2d2413201928dae55ab9d2aaee6946c9d92f02

Observation 4c680376-943d-48a1-9e7b-3a2e3eec414b · outbound

This paper cites Analysis of sum-product decoding of low-density parity-check codes using a Gaussian approximation,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Analysis of sum-product decoding of low-density parity-check codes using a Gaussian approximation,

Reference 28

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Observation b17aceab-ab77-43b5-9fc8-5b3fc597965c · outbound

This paper cites Analysis of low density codes and improved designs using irregular graphs,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Analysis of low density codes and improved designs using irregular graphs,

Reference 29

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Observation 57614be7-90eb-4f6e-91fe-7ab2bfde6f74 · outbound

This paper cites Codes on graphs: normal realizations,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Codes on graphs: normal realizations,

Reference 30

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Observation 89f8fdf6-9e75-4f0b-827a-7b33a7dba123 · outbound

This paper cites An optimum symbol-by-symbol decoding rule for linear codes,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel An optimum symbol-by-symbol decoding rule for linear codes,

Reference 31

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Observation 34875997-0ee2-4bd1-be90-83789199d733 · outbound

This paper cites Replication decoding,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Replication decoding,

Reference 32

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Observation 27b5c0ea-7e27-4c25-8936-db9c80f048a9 · outbound

This paper cites Roy,Series and Products in the Development of Mathematics: V olume 1.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Roy,Series and Products in the Development of Mathematics: V olume 1

Reference 33

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Observation 2a0e439a-08a2-4435-bf19-4cfa84d8e2ac · outbound

This paper cites Efficiently decoding Reed-Muller codes from random errors,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Efficiently decoding Reed-Muller codes from random errors,

Reference 34

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Observation e6c4afc6-7af5-40a6-a1b1-5074d739c51f · outbound

This paper cites Efficiently decoding Reed–Muller codes from random errors,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Efficiently decoding Reed–Muller codes from random errors,

Reference 35

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Observation 2947a1ca-b2d1-4931-8a91-dfad805b5bd5 · outbound

This paper cites Accessed on Dec.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Accessed on Dec

Reference 36

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Observation 327302a9-1c7d-4153-85a5-ed94f8fd9c0a · outbound

This paper cites Optimization and simplification of PCPA decoder for Reed-Muller codes,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Optimization and simplification of PCPA decoder for Reed-Muller codes,

Reference 37

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Observation 465e075f-3004-4da0-88dc-845aaa3d79fd · outbound

This paper cites Accessed on Jan.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Accessed on Jan

Reference 38

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Observation cabb5aaa-7751-40ae-97fc-d1d407bf2dff · outbound

This paper cites Decoding of Reed-Muller codes with a large number of errors,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Decoding of Reed-Muller codes with a large number of errors,

Reference 39

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Observation 378a380e-2fc0-4a0d-975c-5cc9fa390802 · outbound

This paper cites Recursive decoding and its performance for low-rate Reed-Muller codes,.

Density Evolution of Soft-Decision Collapsed Projection-Aggregation Decoding for Reed-Muller Codes over the BIAWGN Channel Recursive decoding and its performance for low-rate Reed-Muller codes,

Reference 40

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source=pdf_text observed=2026-07-13T01:48:59.942574Z digest=sha256:5b16b7de7f092628aecb7addd31252d6a424f955bd309c108b8a9b40d876d359

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