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Paper Citation Record · LEDGER

On the Automorphism Groups of Berman Codes and associated Abelian Codes

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:0a2146f144d513eb2ca32b370df72c8436f4678452977f40e385e7700551bbf2

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:3f665b6e9dbb38324b3dc268b3d3533e01f40d4cdac7ffb83b9db1c74cf0d8de

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:641d79732df9e92377b30c331253cf69b938685f93999157d37802950955ca50

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:006ef9dcd83424818959bbcf01d9a1afcbcbb5494e83440e7911c6cae79b850b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:e29756c48defaaa57f819724a229b7369c2d897303b3fe1dd80264f2f5e1cf45

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:6f2045e255f96c2d0c3969d6efc7cb10c2e9fb8952a759dcafac9b4b0760ad85

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:e66607542fedf28b7c69a8184ed47a2c0112cac90e917bd6f9351a92b65a8b71

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:37ec4d13c1fbfe26e6da68a7f8aa1551f670cde488c752ad636666d90778f03e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:76156c816bab8fa6100df9a78b040d12920281ea2d65f2e5dc1107f9b0215096

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:9fe9b5b3e3ea8fa3a5b10c7d0361ac3e8a27dae67eca393e021504783f95e246

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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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:69098087302226144d96ffc196c2136f033799b1b43b289dc464c63ad71b6dd5

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
raw_fallback, observed 2026-07-06T11:02:20.445808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:93aeb9c5261e0cede138e6e029c6bd1057719e46bd12980975ee958c66a38780

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:17316e46276d7111cd15de44e25425866dc2035509f64c59337b09c7b9aa498f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:5f84ee0b2c3c89a06b5b7a0d541d92d48b5e43e72894ab8239762d9d6914bfae

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:b9fb39aa783be10a06e3a6d528db41985057a9fdd4b34a9545c1fb73e9be4453

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:915581343f5423345219fef6aa86816c9e572ddef678b4d771eb22af900fa6e7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:f416035d5e4927bb3682f7a42ba419a5c9b78fb176d4849a9c43f96a17bfd453

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:e2feb97cf40e10dbe7cb199039be08b094fd6767cbcea3d3e972ad6c7efc1cb9

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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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:1285ece5fdec8e75fa08e62f17d6ed5c0e134ed34f46745ef0529a2892ac9043

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:cb84e6b2126495332275fb08f7a0ff9e0bb121d59c304db5c3854fef5d4f9ffc

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:0ffda749c29be6b3b228af33cfe51f06b98c84f11bc3de65b5839a6373f11c95

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:047bbbeebbacc257e009d46f58b3fb948fe1c73425ba218cb342ffdc89944342

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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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:3a5ce1e28b1ad87e22e19cc0a3575fdfa3dbe2c5fe1d7c155ffcd7b22207fd5c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:88f98ee26a925f4600a8f5fa6710beac6466c9e98baff1e9ca89399611dba032

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:ab0fd95f3f16518f25be170d40ea0308ee202ab6fba963d830772c41ba5a4258

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

Resolution
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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:05eb4ab28723b0af420b7b79ffdd2d75444727208ed7a990659b1a77f1a9a174

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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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:0ffb7b4c59162a79d7b2d5dec70c231e137b49a7dd6b4988cb8d405e6e20a4a8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:f906db984c6dc0e818a30526deefed4366d47525a63eca20a17c4d8ddb4ae50c

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:51c2bed0bcbcbc1758a9a73cc895c5bae3fcb18a4bdc1b0288dad5103b81d23d

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:a190d03a9d089eb95c118bf9d755d285e2e0e47c0453f49626b65e6439e27900

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

Resolution
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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:617bcd17d82df3e4a020c56a5dac153d81f08b3a3b07be6b175e9f162b1c9e59

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-01T16:11:11.144029Z digest=sha256:fc6c9373eb625f329f6eadd51bc0ff38723ff91748f87d5cb4c316d44dbc0c14

Pith citing papers

No inbound Pith citation observations are available.