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Paper Citation Record · LEDGER

Long QMDS additive code

As of 7 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2509.03186.

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

pith.paper-citation-record.v1
2509.03186 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:26:28.019405Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T00:05:36.982510Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

  • verified exact5
  • verified fuzzy9
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 12da37dc-f7c0-4363-834c-372839eb9378 · outbound

This paper cites and Popatia, T.

Long QMDS additive code and Popatia, T

Reference 1

Resolution
verified exact
doi, observed 2026-08-05T11:26:28.077641Z

Source-reported events for the cited work

correction dated 2025-07-18. Source: crossref record 10.1007/s10623-025-01681-1->10.1007/s10623-024-01519-2:correction, observed 2026-07-11T03:03:23.78237+00:00. This notice travels one citation hop only.

source=pdf_text observed=2026-08-05T11:26:27.975778Z digest=sha256:b7bf3602608ffba3978e1fc3ca6ba02499abb6b9e222cefacc853cf6a974885e

Observation 21df2ae3-9c58-4de8-9afb-34f785ca70a8 · outbound

This paper cites and Popatia, T.

Long QMDS additive code and Popatia, T

Reference 2

Resolution
verified exact
doi, observed 2026-08-05T11:26:28.069689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:27.978980Z digest=sha256:9a93a100812707fc7f2c75198aec8798f022186d426b90e05e9d7dc60d9ba0cb

Observation ae1a8d72-1e95-4560-acc8-86df2dfc3a9c · outbound

This paper cites Partial spreads in finite projective spaces and partial designs.

Long QMDS additive code Partial spreads in finite projective spaces and partial designs

Reference 3

Resolution
verified exact
doi, observed 2026-08-05T11:26:28.061475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:27.981741Z digest=sha256:71eb215674efded76cdd9af455532d419448ad9ca7d09b9e5da5a940ddfe15da

Observation b755917a-22ca-4996-9038-4cb8dc917896 · outbound

This paper cites Low-density MDS codes and their applications,.

Long QMDS additive code Low-density MDS codes and their applications,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:28.291366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:27.984393Z digest=sha256:b4ddf188b1a86d0e6f5eab7b78f6dfa60abec0bc4833aca1ba9f194da445072a

Observation 92aed792-cc2f-42df-8be2-537f812ce109 · outbound

This paper cites On Generalized k-Arcs in PG(2n, q).

Long QMDS additive code On Generalized k-Arcs in PG(2n, q)

Reference 5

Resolution
verified exact
doi, observed 2026-08-05T11:26:28.052654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:27.986963Z digest=sha256:8757dc17149b64f9161618c4d66c43c6c5083249a09612025880ef2707e5af2a

Observation bb69a10d-af6b-4718-b6ed-87f5c5ed5a1a · outbound

This paper cites On d-Dimensional Dual Hyperovals.

Long QMDS additive code On d-Dimensional Dual Hyperovals

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:28.282911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:27.989810Z digest=sha256:4c7e1fc94382951585ee6144fc77632e0b768a02712f8bc2905409d2933e9e4e

Observation 95789d98-d633-4575-9304-baa0b913a675 · outbound

This paper cites an unresolved cited work.

Long QMDS additive code Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:26:28.274236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:27.992438Z digest=sha256:7e19fdbebfeef611db8712b0eddf1f5b22c05684e60089531dd19f84d2b0a6db

Observation 1d9569e0-f265-4f4f-9b2a-d0488c7d495c · outbound

This paper cites Near-MDS codes,.

Long QMDS additive code Near-MDS codes,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:28.265088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:27.995059Z digest=sha256:95a1129065a27caae598d1800ed663bfddf2d34cd5d1cacc957158e3cdcfbbc4

Observation 6442285c-e0bf-4aad-abdf-1d613be21c8a · outbound

This paper cites Subspace packings: constructions and bounds,.

Long QMDS additive code Subspace packings: constructions and bounds,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:28.257402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:27.997502Z digest=sha256:4f52a98645502b22e557eaf0c9eb9e3365918f2f052649aca668691864a00727

Observation 8ad19d6c-364e-4fe1-99f6-78dc1fc86862 · outbound

This paper cites an unresolved cited work.

Long QMDS additive code Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-05T11:26:28.000358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T11:26:28.000358Z digest=sha256:25e0c85a76d64cd00a4a27f8333757d1f72f3c566fb88149de846e57e9ba993e

Observation 3c483e95-d41e-493f-adbe-26ede848fd45 · outbound

This paper cites Sum-rank metric codes and their applications,.

Long QMDS additive code Sum-rank metric codes and their applications,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:28.249150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:28.003225Z digest=sha256:de8a2376281717f0d25512fdc4c87238835644017be067e0f413bc3e6ca5589e

Observation f72357df-81e5-40f6-9299-0bd1fd056d60 · outbound

This paper cites A unifying view of rank-metric and Hamming-metric codes,.

Long QMDS additive code A unifying view of rank-metric and Hamming-metric codes,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:28.241582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:28.006148Z digest=sha256:29271bc854a2541d1d723907339670d69ef4fc505bea769d4596ca4e30a36a17

Observation 91e9bd4a-7355-4ca1-972f-6b225d0959f2 · outbound

This paper cites Weight distributions and MacWilliams identities for codes in the sum-rank metric,.

Long QMDS additive code Weight distributions and MacWilliams identities for codes in the sum-rank metric,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:28.233484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:28.008836Z digest=sha256:677a454a9cea768be8b8ca2f05babad6e85d463dbd5ad962ce88a09c4282f164

Observation e41a6b60-8df7-403d-929d-20ff1c55d833 · outbound

This paper cites Linear codes in the folded Hamming distance and the quasi MDS property.

Long QMDS additive code Linear codes in the folded Hamming distance and the quasi MDS property

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:26:28.207176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:28.011321Z digest=sha256:63ac91ea18a4b756a04cb9994255beba230262df892c48d1cb3ca516bcdd2c2e

Observation bb4056b4-cfca-4048-a9d6-b99648fc78d3 · outbound

This paper cites Quantum error-correcting codes from subfield- linear codes,.

Long QMDS additive code Quantum error-correcting codes from subfield- linear codes,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:28.224981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:28.014255Z digest=sha256:be06aa6e64e3ab7f430c581a15c4e604acfdbcd3b4d884f10693b3fd4b7be3ba

Observation bccee20d-a7dd-4f66-a9d6-d77fff2c2c69 · outbound

This paper cites Some new classes of additive MDS and almost MDS codes over finite fields.

Long QMDS additive code Some new classes of additive MDS and almost MDS codes over finite fields

Reference 16

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T11:26:28.196356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:28.016772Z digest=sha256:4560f7d308129cc0d737493140f0d47ba9912c64e777fdb3e8aca48fe2ffad7c

Observation 1de1e077-9a57-4537-9796-ff272eb6b061 · outbound

This paper cites LDPC codes with high minimum distance and efficient decoding,.

Long QMDS additive code LDPC codes with high minimum distance and efficient decoding,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:28.216475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T11:26:28.019405Z digest=sha256:d84b1bf1816f4eeb275985d44b97d177287e7d68733e2e63968e7d38d5a306e8

Pith citing papers

Observation b925b261-e6b8-49fd-976a-320d2ca83ca4 · inbound

Upper bounds on the length of quasi-MDS codes cites this paper.

Upper bounds on the length of quasi-MDS codes Long QMDS additive code

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-31T00:05:36.982510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T00:05:36.982510Z digest=sha256:791c0ad33192ec54f1cfd63e18d96e8ce3ee1f1860608525413ef65992090081