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Paper Citation Record · LEDGER

On the Automorphism Groups of Berman Codes and associated Abelian Codes

As of 22 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2605.27312.

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

pith.paper-citation-record.v1
2605.27312 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-01T16:11:11.144029Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

  • verified exact4
  • verified fuzzy21
  • unresolved4
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8b74c764-ed98-41f5-afae-e3e275e4127a · outbound

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

On the Automorphism Groups of Berman Codes and associated Abelian Codes Application of boolean algebra to switchi ng circuit design and to error detection,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:02:20.460200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:880e4c5d9163b0070f4f2f2649df9d8002f5dfcbec644a4141425724af72583d

Observation 3221ee07-fb04-4af7-aaa7-554d1b19bd81 · outbound

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

On the Automorphism Groups of Berman Codes and associated Abelian Codes A class of multiple-error-correcting codes an d the decoding scheme,

Reference 2

Resolution
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raw_fallback, observed 2026-07-06T11:02:20.457834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:6c2a71de445e6773e0ec62f199d5d39fdd64f7aebec0640958db1962366b347f

Observation c86e20cc-327c-4584-802e-d0edc7e93f54 · outbound

This paper cites Reed–muller codes achieve capacity on erasure ch annels,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Reed–muller codes achieve capacity on erasure ch annels,

Reference 3

Resolution
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raw_fallback, observed 2026-07-06T11:02:20.455026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:1e0edb15f137d40739f0877d6834df9c93598fa27ea688a5801aa55c97cd18a6

Observation d0454c29-6ac1-4030-aea1-b55b46980602 · outbound

This paper cites Reed–muller codes on bms chan nels achieve vanishing bit-error probability for all rates belo w capacity,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Reed–muller codes on bms chan nels achieve vanishing bit-error probability for all rates belo w capacity,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:02:20.453091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:d25cc844f6c97a7cc056c31f9f5033c7587efd1f7265a9edcb96f791c3310cee

Observation e551e951-0f92-47c6-a497-436d2a97d8ab · outbound

This paper cites Automorphism ensemble decoding of reed–muller codes,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Automorphism ensemble decoding of reed–muller codes,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:02:20.463602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:d99ff8ee4fb15696076da3f1b643cf81a9fe310b237f7da2ae98228f4659907f

Observation 158cde3a-046a-4dc9-82ed-df377697f8c5 · outbound

This paper cites Constituent au tomorphism decoding of reed-muller codes,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Constituent au tomorphism decoding of reed-muller codes,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:02:20.442272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:640ab629b76528dafc6a3858580ec3b88428d5bcdab8c7a81d0af864b4d45be9

Observation 2bd53095-5741-41fb-bccf-d646cd1cd415 · outbound

This paper cites Semisimple cyclic and Abelian codes. II,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Semisimple cyclic and Abelian codes. II,

Reference 7

Resolution
verified exact
doi, observed 2026-07-01T16:15:48.709554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:39981d90bf9a22ed9c1aee01c624fb1545c7e888d6cbd67bc940461ebe6eeba9

Observation e1d662d4-85d6-4344-a2a8-e92747abe439 · outbound

This paper cites On a family of abelian codes a nd their state complexities,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes On a family of abelian codes a nd their state complexities,

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:87b3988c68be0fe7a1a200116ef742c6323b766a990fd456e5dd933efc3662b9

Observation f8bfeb5d-ef59-46fe-8a93-8884ff0643fc · outbound

This paper cites Berman codes: A general ization of reed–muller codes that achieve bec capacity,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Berman codes: A general ization of reed–muller codes that achieve bec capacity,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:02:20.448046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:91b0abd096eb6c9df6d3d6241db00594bf9c5d02776b10170c5190433b123cb1

Observation ad614572-f30e-4922-8339-3eca9cebe30a · outbound

This paper cites Transform domain charact erization of abelian codes,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Transform domain charact erization of abelian codes,

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:788dcdafb5ba34c8587b29eac37778a7bd8b871debe0b875b9e08950d11767ef

Observation 1d60e701-7980-4cc0-9f50-946e3809e05f · outbound

This paper cites an unresolved cited work.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Unresolved cited work

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:360eace3ac1c03fc4d2f38f292f423de6acda691b177b8774a9ffd97231c9019

Observation eaca9543-de73-4e79-8fb6-4c693b519416 · outbound

This paper cites The automorphism groups of reed-solomon codes ,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes The automorphism groups of reed-solomon codes ,

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:c8d5476a5613ec586ac7470faf0c0b66fc2bd777835bdf2ef69d26e1dd5aa390

Observation e6ab83cd-71b8-402a-aa22-caa6c6c6a5fa · outbound

This paper cites Journal of Combinatorial Theory, Series A21(3), 257–298 (1976),https://www.sciencedirect.com/ science/article/pii/0097316576900017.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Journal of Combinatorial Theory, Series A21(3), 257–298 (1976),https://www.sciencedirect.com/ science/article/pii/0097316576900017

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-07-01T16:15:49.075994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:1d43e89d9cea61969d16609f9a58269a39bfe0477607e2ecc7263a67ea40a758

Observation ad07aa01-7105-4002-bdca-779f44df9e78 · outbound

This paper cites The automorphism group of gen eralized reed-muller codes,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes The automorphism group of gen eralized reed-muller codes,

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:0c6236588d6fd67ac6dbb10f930c2f34f1f2f3ec227e8bcddd915bc48beb86df

Observation a915d1bf-38c2-4771-9358-b41aeb210aa5 · outbound

This paper cites Upper bounds for constant weight error correcting codes,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Upper bounds for constant weight error correcting codes,

Reference 15

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T16:15:49.073018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:c54a9cc0be59b921a05506a1cb5db53cf56119e63ca3bf935d5c4a153b8d978d

Observation 35155178-596f-4c4c-a8bb-e0366acb2e52 · outbound

This paper cites On the automorphism group of polar codes,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes On the automorphism group of polar codes,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:02:20.467005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:881be0df051920e4199666952e6e3c231a8e66051ad7ae1636531345738f116b

Observation 63bfce4a-c279-473d-80cb-1db00465eb77 · outbound

This paper cites A classificati on of the maximal subgroups of the finite alternating and symmetri c groups,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes A classificati on of the maximal subgroups of the finite alternating and symmetri c groups,

Reference 17

Resolution
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raw_fallback, observed 2026-07-06T11:12:19.575899Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:07ac83789f95a99398f91ae518187854ff8b40e4adf1c3401e4d1c54a7317a38

Observation 66e0b037-75d9-4884-8463-df49a2353624 · outbound

This paper cites The maximality of certain w reath products in alternating and symmetric groups,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes The maximality of certain w reath products in alternating and symmetric groups,

Reference 19

Resolution
verified exact
doi, observed 2026-07-01T16:15:48.711803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:86167e3cde7bb50ea32b53b5bdb6516306c6990c942d3b488189e255501f6d0c

Observation bd546810-00f2-47b8-bcd1-0c242ee3696d · outbound

This paper cites an unresolved cited work.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Unresolved cited work

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:e128d5083b8a5ae9880018ca933507e4d8ffc56fd5d9b06fb70d5060e41a1514

Observation 3ea5708a-23d8-4010-a1ce-2f70d2a67488 · outbound

This paper cites Recu rsive subprod- uct codes with reed-muller-like structure,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Recu rsive subprod- uct codes with reed-muller-like structure,

Reference 21

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raw_fallback, observed 2026-07-06T11:12:19.567040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:ce40329c2a30852ab5c07e9ec331eaf0acdecf2f652f53da2988d74040e00670

Observation dd781223-2370-41cb-9b32-01cae4289689 · outbound

This paper cites Bid codes: Algebraic codes from 3 × 3 kernel,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Bid codes: Algebraic codes from 3 × 3 kernel,

Reference 22

Resolution
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:270c722550dc2a005801fff10308ff4b9fee5c6a7785b560ee5ae5e017881953

Observation 76a939ac-1171-4a04-8d70-46562fb4a4cc · outbound

This paper cites an unresolved cited work.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:7af5110feba9fc81eaed15e123b5309f7b54ea493caee9b5f75535e551933d41

Observation 2dccdf82-2f3a-420b-9d12-cc021e940d82 · outbound

This paper cites automorphism-abelian-codes,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes automorphism-abelian-codes,

Reference 24

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raw_fallback, observed 2026-07-06T11:12:19.574102Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:0a2aaa642c26ba2e473bbeda4027ecf39f21534f2415b492a88b8fcccb3ec889

Observation 8f0e09df-484f-4a75-a7dd-92ca498cb6ad · outbound

This paper cites Solvability of groups of odd order,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Solvability of groups of odd order,

Reference 25

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verified fuzzy
raw_fallback, observed 2026-07-06T11:02:19.569520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:a1e40879aed5b4ab9b1ba16fbc973f474d3dfd3892f70349f827df22cbc797e4

Observation a6ca8735-d314-4ed3-a8f3-c1a1f3f452ea · outbound

This paper cites Subgroups of prime power index in a sim ple group,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Subgroups of prime power index in a sim ple group,

Reference 26

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verified exact
arxiv_id, observed 2026-07-01T16:15:49.078452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:ed01d8388c3a54223e82c380a4d1da3e9bf23e50d74b7e65ed02bf6e1da978f9

Observation efdaf46f-0175-4693-9a9c-a4d1fe918efe · outbound

This paper cites an unresolved cited work.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Unresolved cited work

Reference 27

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unresolved
raw_fallback, observed 2026-07-06T11:12:19.571952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:da8fe4d5b4319ef5706c3e70bf79b3df70107129d1c437c8ae061858de1689b7

Observation 32a17f12-8ac3-413a-accc-312bf10c4a31 · outbound

This paper cites Lam, Introduction to Quadratic F orms over Fields , ser.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Lam, Introduction to Quadratic F orms over Fields , ser

Reference 28

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verified fuzzy
raw_fallback, observed 2026-07-06T11:12:19.571715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:10ab9a6321123aad3b3982679aca918c05f5476d229c153fcffdd53df2289214

Observation 9b9d9266-bd8b-494a-bca0-a420db7f19b1 · outbound

This paper cites A note on the graph isomorphism counting pro blem,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes A note on the graph isomorphism counting pro blem,

Reference 29

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raw_fallback, observed 2026-07-06T11:02:19.563439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:365cd1feff0946d98b8b4a996cc7a0201cefaa4850a650a250d572adcc6984b0

Observation f43d32c5-918e-4820-be21-4bdfb17decbb · outbound

This paper cites Semidefinite Progr ams on Sparse Random Graphs and /T_heir Application to Community Detection.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Semidefinite Progr ams on Sparse Random Graphs and /T_heir Application to Community Detection

Reference 30

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T16:15:48.707870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:2175176e506a6289622add39d4cad7b2465cbd9e54cdd295022be278a1b031bc

Observation ca33ed89-5967-4054-8f82-d415b964c962 · outbound

This paper cites Practical graph isomorphis m, ii,.

On the Automorphism Groups of Berman Codes and associated Abelian Codes Practical graph isomorphis m, ii,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T11:02:20.471136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:8fd61cb279e910181dc4b0a5b6b1b05e018cc144f87783b22491200ff932712d

Observation 589f13d5-6db8-40f0-b598-74482302c5e9 · outbound

This paper cites By definition, there exists some x ∈ ⋂ i∈ [ℓ] Xi such that f (x) = y.

On the Automorphism Groups of Berman Codes and associated Abelian Codes By definition, there exists some x ∈ ⋂ i∈ [ℓ] Xi such that f (x) = y

Reference 32

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verified fuzzy
raw_fallback, observed 2026-07-06T11:02:20.474084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:fa27578ecc2398e726e1aafb3e6a1705176bc87ccd15f20944b26d5661cc1ede

Observation 9316f5aa-15a0-4be4-a344-b98d2f469a94 · outbound

This paper cites This implies that for each i ∈ [ℓ], there exists an element xi ∈ Xi such that f (xi) = y.

On the Automorphism Groups of Berman Codes and associated Abelian Codes This implies that for each i ∈ [ℓ], there exists an element xi ∈ Xi such that f (xi) = y

Reference 33

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raw_fallback, observed 2026-07-06T11:02:19.556900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:c673d9312436f18d9b75a428a55799386ddabc6810aab6824ff63c388b7c718a

Pith citing papers

No inbound Pith citation observations are available.