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Paper Citation Record · LEDGER

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

As of 17 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 2026-08-17T06:30:58.91139+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
  • malformed identifier1
  • metadata mismatch0

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

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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

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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

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

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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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Observation 804976a9-38d8-4fb6-b6d9-82ebed87da75 · outbound

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

Reference 29

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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

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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 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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.547259Z digest=sha256:a2c338fc51b2f58e2c898043ccd2571e9123d6a691f13c1cdef25821462b4a11

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:c636fb4d010a90cc5e6d5ceb45905f7580c1b5ce3aa90105f35e9e0078457b9a

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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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.555864Z digest=sha256:f942f8f8ee36246217f4fb873cf7904d3947e0e5130680c95643f767a500914a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.560005Z digest=sha256:7a2c09e3bd939e1db0a1cd7a74d665dfb4878968b02d44a8dfa0fe46ab6d7441

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

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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:c21d9ce0724d066e628971e19fb0c1080dd40f0fb665e8cadcb79cf55bfcd028

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.568828Z digest=sha256:b27f6bac0f5aa49ff1d78b359c7adfae66c2875c71493e14e39a9310c0bc313f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.573422Z digest=sha256:30f9a2929fa5057a8341d55d6036be0149c91281726d41a7e017eafdf02095aa

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

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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:a4302ed683990ad7a9bd54ddec3427662914b124acbabbc9e530d6ff4555068e

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.582875Z digest=sha256:baa672e16f4f0537300c0036edeae13ad6bb72f7198bdfcf1a40b78f50e461cf

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.587008Z digest=sha256:92e53e09b5a94f44ec843cd5fe8f36931928e1b3355aa7e6f7ebb13551341853

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:f9e135dd6f3455349fc2940bdcaa66c49d36f39a70c61c946ad5c74245b05691

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.595435Z digest=sha256:9b52bcaf71b48a13f29bafbc0586e08413921cfd5f0600c68a9759b6fc4476c1

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:ce2eed234f03a412aa92ebb2fc89c2fe03eee33c92adf42f53e2571057067024

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=sha256:78fbbf266f81fa93817d89f0243d06757d44de99c33af9ae33bea34944383932

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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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=sha256:5c25851b908a56f668e5894648ecd162ab31ede80ecbd9bd0f1e024a7ba3633e

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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malformed identifier
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=sha256:8831638287b4374f8ba80a4c07e09179ee667d176c248398db1e0994ffe81daf

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.617827Z digest=sha256:fafcc8100a7ccb6238defb500cdc15273062dbb381be5ecc4850bc8d88bf69f7

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.622279Z digest=sha256:d25318d0ba3baf0a0663ca76173471a59d80951513e137de7f39321d01fb7f31

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.626473Z digest=sha256:a613081c22ae717b4a1aef305e9a9c797abe7a9edfb49acf8f3d97e37756d828

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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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.630478Z digest=sha256:628e1d217b404d9578f90961a825ed9a11656fa6953207d3edcecb3d5c5242d5

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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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.635269Z digest=sha256:bbdb4861e4765fe1bb2eee0e36ecc58e873cded4bb0f6553472a15e68d9dc3a4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T15:06:17.640609Z digest=sha256:eeaab1c956b1c5533243a45d89d2ecefba0e63d036fa2a663a8a9ccb8ea0f77d

Pith citing papers

No inbound Pith citation observations are available.