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Paper Citation Record · LEDGER

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations

As of 8 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2507.17611.

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

pith.paper-citation-record.v1
2507.17611 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:06:17.640609Z

measured 57 of 57 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 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

57 of 57 outbound references displayed

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  • verified fuzzy23
  • unresolved28
  • parse uncertain0
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External citation measurements

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Outbound references

Observation 02b76830-d73c-4070-ad30-1d137bc1ca71 · outbound

This paper cites Let q = ps be a prime power and Fq the finite field with q elements.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Let q = ps be a prime power and Fq the finite field with q elements

Reference 1

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Observation 5427af03-fc77-4033-a076-dbab8544d5d1 · outbound

This paper cites Calderbank and Shor, and indepen- dently Steane, introduced this class of codes in 1996.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Calderbank and Shor, and indepen- dently Steane, introduced this class of codes in 1996

Reference 2

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Observation d15eaaec-b466-4ab6-a87e-e8ef228a11ed · outbound

This paper cites As we will see in Section 4, our characterisation has a natural extension to binary field extensions, while the original definition of CSS-T codes does not.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations As we will see in Section 4, our characterisation has a natural extension to binary field extensions, while the original definition of CSS-T codes does not

Reference 3

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Observation ba076dad-1fd5-4926-a254-1d22aabbdc87 · outbound

This paper cites every codeword has an even Hamming weight) can be characterised as follows: a binary code C ⊆ Fn 2 is even if and only if Rn 2 ⊆ C ⊥.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations every codeword has an even Hamming weight) can be characterised as follows: a binary code C ⊆ Fn 2 is even if and only if Rn 2 ⊆ C ⊥

Reference 4

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Observation ae4092ce-e0ec-4443-97f2-4b0ce7fe2801 · outbound

This paper cites A generalization to arbitrary fields was proposed and studied in [23].

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations A generalization to arbitrary fields was proposed and studied in [23]

Reference 5

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Observation d737f0c4-2d20-4b75-a741-1222490abf87 · outbound

This paper cites C is Galois invariant),.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations C is Galois invariant),

Reference 6

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Observation 9f268a08-1f25-4f2b-ac3f-256a856859c0 · outbound

This paper cites Property 1.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Property 1

Reference 7

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Observation 4fa4e3cb-d1a4-4a66-a9e4-e91a2ac5273f · outbound

This paper cites BCR” and to our definition as “CPR.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations BCR” and to our definition as “CPR

Reference 8

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Observation d4da6af5-cef4-48b4-a674-7a82eb0e633c · outbound

This paper cites an unresolved cited work.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 9

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Observation 6c631edc-7ecc-4024-9f23-4fd4aab8d53d · outbound

This paper cites Note that I ∪ J = Zn.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Note that I ∪ J = Zn

Reference 10

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Observation 7bc1c6c6-f2f1-4bd2-9d4d-72f8b0f4dde7 · outbound

This paper cites an unresolved cited work.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 11

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Observation 1fea983f-98f7-46c0-9f13-81d012326d4f · outbound

This paper cites an unresolved cited work.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 12

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Observation 686c1da3-2e8f-4540-89a8-864dbcaae204 · outbound

This paper cites , cn) = (c2,.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations , cn) = (c2,

Reference 13

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Observation 1d584ad5-1f87-45bc-b126-57cf7b287b6b · outbound

This paper cites Example 5.10.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Example 5.10

Reference 14

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Observation 40ffd6da-61bf-4390-adae-ee3b7685c375 · outbound

This paper cites an unresolved cited work.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 15

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Observation f035a3f5-67fd-4bb9-be52-2f9727fc3f01 · outbound

This paper cites More in detail, we show that asymptotically good sequences of CSS- T codes exist, and that they can be derived from sequences of CSS codes.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations More in detail, we show that asymptotically good sequences of CSS- T codes exist, and that they can be derived from sequences of CSS codes

Reference 16

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Observation 7e707429-13b4-4ecc-966e-ff2e5757cfc8 · outbound

This paper cites an unresolved cited work.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 17

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Observation b9641529-c9a7-45b4-8e27-72ddd6819fa4 · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

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Observation a8064166-2902-46cb-9e4b-07230e6e8747 · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 19

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Observation 0645e150-791c-4673-b766-6a5e503e9925 · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 20

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Observation 8b6ee146-357b-4b81-89c3-19ab7ffe69a1 · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 21

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Observation 98b8f9c6-8fa7-4184-9dba-1944fd6dcd06 · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

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Observation 9d46a398-2c1c-4ac6-aeca-97bc7ce44184 · outbound

This paper cites Temme, S.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Temme, S

Reference 23

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Observation 479c006f-4033-4cac-ad13-2c720d59cb25 · outbound

This paper cites de Keijzer, L.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations de Keijzer, L

Reference 24

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Observation ac6ff386-4d5f-44de-a58f-9332b6350d6d · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

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This paper cites Digital Zero-Noise Extrapolation with Quantum Circuit Unoptimization.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Digital Zero-Noise Extrapolation with Quantum Circuit Unoptimization

Reference 26

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Observation 9919cd8f-9179-4567-84bf-68073ebf90d9 · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

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Observation cf38347e-adce-4505-a299-66baddc18f8a · outbound

This paper cites Stabilizer Codes and Quantum Error Correction.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Stabilizer Codes and Quantum Error Correction

Reference 28

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Observation 9c318dd3-9231-4c22-8a95-12b38e4364a2 · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 29

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Observation 7753b716-5662-4de5-b471-8a7393ca7c1f · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

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Observation d2de5c77-b90d-4fad-bb09-243b14417a92 · outbound

This paper cites an unresolved cited work.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 31

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This paper cites Steane, Multiple-particle interference and quantum error correction, Proceedings of the Royal Society of London.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Steane, Multiple-particle interference and quantum error correction, Proceedings of the Royal Society of London

Reference 32

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Observation 0449c684-c0da-414f-9eb1-2e311c5fa6e2 · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 33

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Observation b5865cf5-effa-4c94-a20a-641e181d65a4 · outbound

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CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 34

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Observation 7f1fbaa2-c8bb-45ab-83fc-51afdcef5934 · outbound

This paper cites Bravyi, A.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Bravyi, A

Reference 35

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Observation b27e6e93-9033-473f-984f-fb132e956237 · outbound

This paper cites an unresolved cited work.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 36

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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=2026-08-06T15:06:17.547259Z digest=sha256:c7266cecb4e2a6553029a5e2a5cc9bf932d466282d7cd2fa6e7f155f242d5a1a

Observation c72a4a01-57a3-4269-88f5-39aab3fce469 · outbound

This paper cites Eastin and E.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Eastin and E

Reference 37

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no resolver link, observed 2026-08-06T15:06:17.551636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:17.551636Z digest=sha256:ee9beb9b28c1f70590f627d58797635797f8894d7aa13576126061b572e8ca6f

Observation 36e76a2c-2daf-4414-a213-ddb935130b30 · outbound

This paper cites Rengaswamy, R.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Rengaswamy, R

Reference 38

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verified fuzzy
raw_fallback, observed 2026-08-06T15:06:18.211319Z

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=2026-08-06T15:06:17.555864Z digest=sha256:198ca24647fb87c9058aea04451ce43fd1c916adbcb0beacc7c3e4b22bfd534c

Observation a89df93c-a0ef-4053-a393-a63cc3b4e8b8 · outbound

This paper cites Rengaswamy, R.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Rengaswamy, R

Reference 39

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verified fuzzy
raw_fallback, observed 2026-08-06T15:06:18.197557Z

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=2026-08-06T15:06:17.560005Z digest=sha256:9211cd0dfac5ee292aa721cc80b43a81e4f16990304dcc58d33c25817cc44652

Observation ad34ea60-2577-4852-bef9-638c934641fe · outbound

This paper cites Asymptotically Good Quantum and Locally Testable Classical LDPC Codes.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Asymptotically Good Quantum and Locally Testable Classical LDPC Codes

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T15:06:17.563986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:17.563986Z digest=sha256:6b445622efb3f568c16daa75f5aea19b2f762b63382616bc72ccc506efe0bcd7

Observation 38e36c70-4db7-4f6c-a931-ecda20227d3a · outbound

This paper cites Asymptotically good CSS-T codes and a new construction of triorthogonal codes.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Asymptotically good CSS-T codes and a new construction of triorthogonal codes

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:06:17.998133Z

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=2026-08-06T15:06:17.568828Z digest=sha256:7cf372f8434c9febf443abe5455497a410343a7ae8ae99b896bde1e37966f90e

Observation 24aedeb8-4dcc-4dd1-a236-c759929a5e24 · outbound

This paper cites Berardini, A.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Berardini, A

Reference 42

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verified fuzzy
raw_fallback, observed 2026-08-06T15:06:18.183520Z

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=2026-08-06T15:06:17.573422Z digest=sha256:6faef6316a23042d096c7b087427fd17ae2457dcb49ce408c81c1973f508415c

Observation 81029d6e-3bec-416f-8faf-fe61fb61ae4c · outbound

This paper cites The Heisenberg Representation of Quantum Computers.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations The Heisenberg Representation of Quantum Computers

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T15:06:17.577927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:17.577927Z digest=sha256:8eb25f8c29fca1b93dfc1097b47936d808e07912d179c8c1c9f29e6963a5fadf

Observation d402728a-782e-4527-9b9e-d441b8a1661d · outbound

This paper cites an unresolved cited work.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:06:18.168699Z

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=2026-08-06T15:06:17.582875Z digest=sha256:904d9dc3ef6c761bbd2d5cdeb8565b83e1324cd98d961d40203ecd7c9d794d9e

Observation e1114f97-e342-4ff2-ade8-1085a2b9f681 · outbound

This paper cites Aharonov, A simple proof that Toffoli and Hadamard are quantum universal (2003), arXiv:quant- ph/0301040 [quant-ph].

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Aharonov, A simple proof that Toffoli and Hadamard are quantum universal (2003), arXiv:quant- ph/0301040 [quant-ph]

Reference 45

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verified exact
raw_fallback, observed 2026-08-06T15:06:17.957160Z

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=2026-08-06T15:06:17.587008Z digest=sha256:dc16c237be26ad15aa8fb49000bf5709182ca0da960a96c0e8e96ea6b2805c7b

Observation 8d94bd16-5a42-4c79-b871-3edf56c82f74 · outbound

This paper cites an unresolved cited work.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Unresolved cited work

Reference 46

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no resolver link, observed 2026-08-06T15:06:17.591259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:17.591259Z digest=sha256:5b6b7d91187f6645fed9a1bc2cd1b63b50f462f1620f57000dd6cd11091f1fdc

Observation b2922f20-c075-4162-9dd4-13646c389d5f · outbound

This paper cites Litinski, A game of surface codes: Large-scale quantum computing with lattice surgery, Quantum 3, 128 (2019).

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Litinski, A game of surface codes: Large-scale quantum computing with lattice surgery, Quantum 3, 128 (2019)

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:18.143838Z

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=2026-08-06T15:06:17.595435Z digest=sha256:ee8349ab855cb9886e0aeb7e4fa47519c2dc1c918e8036bc6f1401bcf516fe2c

Observation 83873a6f-08e0-48f6-bd12-8d044ab8106d · outbound

This paper cites Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303, 2–30 (2003).

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Kitaev, Fault-tolerant quantum computation by anyons, Annals of Physics 303, 2–30 (2003)

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-06T15:06:17.600074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:17.600074Z digest=sha256:bbd8fede5e0c9d3cdca96dbb2d10656521cd0f3c037440539d3dd2baa11a0404

Observation 228bd30d-2bc4-41e6-a6ac-ed43486ec49b · outbound

This paper cites Fault-tolerant quantum computing with color codes.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Fault-tolerant quantum computing with color codes

Reference 49

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unresolved
no resolver link, observed 2026-08-06T15:06:17.604405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:17.604405Z digest=sha256:91b76e16c232b0059f689996c76e433a59cc4526c1a01ce088404026399af90f

Observation 7770c123-9c50-4e70-aa1e-9218ac7d4389 · outbound

This paper cites Bravyi and A.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Bravyi and A

Reference 50

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unresolved
no resolver link, observed 2026-08-06T15:06:17.608726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:17.608726Z digest=sha256:1569549326e162b7232aca85e1617260972deaf56712c88edf9d1cf65d6eefc2

Observation dc0eaba2-254e-4cd1-b030-cf4d0421c4af · outbound

This paper cites Bravyi and J.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Bravyi and J

Reference 51

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no resolver link, observed 2026-08-06T15:06:17.613074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:17.613074Z digest=sha256:0543aa9ce66cb3aa706fc48b3035f2fc52f950abe0dff32b05ee7b47f18fca8e

Observation 01831a7f-74ee-4cc2-bdec-ce45ea61b905 · outbound

This paper cites CSS-T Codes from Reed Muller Codes.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations CSS-T Codes from Reed Muller Codes

Reference 52

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verified exact
local_arxiv, observed 2026-08-06T15:06:17.753665Z

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=2026-08-06T15:06:17.617827Z digest=sha256:dc976df165b345988669beeaccf598486827cacc010914d5cbdf04aa1819e8ae

Observation 668a2c4f-5694-4586-83c6-6ef00b22bd25 · outbound

This paper cites Camps-Moreno, H.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Camps-Moreno, H

Reference 53

Resolution
verified exact
doi, observed 2026-08-06T15:06:17.679427Z

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=2026-08-06T15:06:17.622279Z digest=sha256:f46f192dee043a2831c2ebf0033e0fb52243e682decc8fe877ef34b811fc3dc0

Observation 4fa2d218-4c0b-49fb-a9d2-ed14ebe730f1 · outbound

This paper cites Delsarte, On subfield subcodes of modified Reed-Solomon codes, IEEE Transactions on Information Theory 21, 575 (2003).

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Delsarte, On subfield subcodes of modified Reed-Solomon codes, IEEE Transactions on Information Theory 21, 575 (2003)

Reference 54

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raw_fallback, observed 2026-08-06T15:06:18.117227Z

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=2026-08-06T15:06:17.626473Z digest=sha256:0242bf759d73a37438cb7e39393867c95494092745059b4c1ed6d205383ba9a8

Observation 055b615c-7ee2-4c36-ab06-6aa83b9f0dd3 · outbound

This paper cites Giorgetti and A.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Giorgetti and A

Reference 55

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verified fuzzy
raw_fallback, observed 2026-08-06T15:06:18.102050Z

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=2026-08-06T15:06:17.630478Z digest=sha256:72c5a8a455b75864ae3f4f43c229c5662976b3b3d9335e10cbaf5c77e7f597f9

Observation d777b84e-0dd5-43a2-a4cb-3ac351cf3382 · outbound

This paper cites Randriambololona, An upper bound of Singleton type for componentwise products of linear codes, IEEE Transactions on Information Theory 59, 7936–7939 (2013).

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Randriambololona, An upper bound of Singleton type for componentwise products of linear codes, IEEE Transactions on Information Theory 59, 7936–7939 (2013)

Reference 56

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verified fuzzy
raw_fallback, observed 2026-08-06T15:06:18.087570Z

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=2026-08-06T15:06:17.635269Z digest=sha256:af359ffa8fdfe62e75884ab3b9ed1f89f346547d803f211b872d2e6891463f0a

Observation dc148b03-701b-404a-9439-6c31f16a9480 · outbound

This paper cites Gao and F.-W.

CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Gao and F.-W

Reference 57

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verified fuzzy
raw_fallback, observed 2026-08-06T15:06:18.071880Z

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=2026-08-06T15:06:17.640609Z digest=sha256:0a3d662bd066a5092201a89593560847fb116ec4d9078d81f68cf7f58e82ee8a

Pith citing papers

No inbound Pith citation observations are available.