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Paper Citation Record · LEDGER

A Survey on Code Equivalence: The State-of-the-Art and Open Questions

As of 14 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2607.12870.

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

pith.paper-citation-record.v1
2607.12870 v2

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:24:54.175440Z

measured 44 of 44 standing notices

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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.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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Outbound references

Observation c45ab0dc-574b-43c0-ac2a-70072782ac50 · outbound

This paper cites an unresolved cited work.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Unresolved cited work

Reference 1

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Observation f41d5ce7-b329-4958-be4d-ddef329e87ab · outbound

This paper cites Albrecht, Benjamin Benčina, and Russell W.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Albrecht, Benjamin Benčina, and Russell W

Reference 2

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source=pdf_text observed=2026-08-02T06:24:50.082200Z digest=sha256:7211982f47bf9cc57291ed9d62b8fe7faf2851846482722730af0dd7c5a963ad

Observation 40a62d48-3e15-42c3-91d8-326cf88ccf3a · outbound

This paper cites Graph isomorphism in quasipolynomial time.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Graph isomorphism in quasipolynomial time

Reference 3

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source=pdf_text observed=2026-08-02T06:24:50.148725Z digest=sha256:d9c24a0aa7606112f35a945a800a8636db20d63fc00a1152861550d28a2a83b2

Observation eb224dcb-b687-47bc-9cae-236ddf618e1a · outbound

This paper cites Grochow, and Youming Qiao.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Grochow, and Youming Qiao

Reference 4

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source=pdf_text observed=2026-08-02T06:24:50.241784Z digest=sha256:f3ba9bd9d3ce508a02cefb7663d828e396ddf9915a8c5f671516c84377da6e8e

Observation 8aadb79b-0993-4a4f-8579-23ca90ffe536 · outbound

This paper cites SPECK: Signatures from Permu- tation Equivalence of Codes and Kernels.Cryptology ePrint Archive, 2025.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions SPECK: Signatures from Permu- tation Equivalence of Codes and Kernels.Cryptology ePrint Archive, 2025

Reference 5

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source=pdf_text observed=2026-08-02T06:24:50.293920Z digest=sha256:79495a5dd830655c509fff616fa4c3594f374c22e5c2251e6897b2c79fcc3ec3

Observation afac2cd2-2eae-4845-b802-96ff5464d0b1 · outbound

This paper cites Solving the linear code equivalence problem from single code- word matching.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Solving the linear code equivalence problem from single code- word matching

Reference 6

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source=pdf_text observed=2026-08-02T06:24:50.359202Z digest=sha256:b2d9d183372ad317b518be251c0eda067eb9c2d83305d1f7f80eec2a51a11dd3

Observation b62f57b7-9ba4-4d74-a761-4a813ec9f478 · outbound

This paper cites Permutation code equivalence is not harder than graph isomorphism when hulls are trivial.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Permutation code equivalence is not harder than graph isomorphism when hulls are trivial

Reference 7

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source=pdf_text observed=2026-08-02T06:24:50.391606Z digest=sha256:905c2b30b74a22a606b9534a6bc43ddd6e9fa997ac9be2a51bfba51c67c115b4

Observation f45ef048-5b61-4ecf-bcc7-8fc977540d18 · outbound

This paper cites Advancedsignaturefunctionalitiesfromthecodeequiva- lence problem.International Journal of Computer Mathematics: Computer Systems Theory, 7(2):112–128, 2022.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Advancedsignaturefunctionalitiesfromthecodeequiva- lence problem.International Journal of Computer Mathematics: Computer Systems Theory, 7(2):112–128, 2022

Reference 8

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source=pdf_text observed=2026-08-02T06:24:50.396171Z digest=sha256:6a6b38a40d75a589d575e51719234b87263a19933f010bda80bea942edd34365

Observation 9f30a7ee-1866-4169-9b4c-fa10f06c7ad5 · outbound

This paper cites On the computational hardness of the code equivalence problem in cryptography.Advances in Mathematics of Communications, 17(1):23–55, 2023.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions On the computational hardness of the code equivalence problem in cryptography.Advances in Mathematics of Communications, 17(1):23–55, 2023

Reference 9

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source=pdf_text observed=2026-08-02T06:24:50.532121Z digest=sha256:5e9a1de3c9c6d6fa54581511bee82ff6543c1e5f4d20121e3dce6fc64813bc54

Observation 6859e1d5-d9df-4270-b301-c421322fcdae · outbound

This paper cites The power of power codes: New classes of easy instances for the linear equivalence problem, 2026.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions The power of power codes: New classes of easy instances for the linear equivalence problem, 2026

Reference 10

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source=pdf_text observed=2026-08-02T06:24:50.636995Z digest=sha256:8f6b8b450996aeaf2c269831541a0da113ec2fccfda85d5f18824a1173f5c224

Observation e9573ce8-11b5-4fac-930e-9a2c5246d959 · outbound

This paper cites VOLE-in-the- Head Signatures Based on the Linear Code Equivalence Problem.Cryptol- ogy ePrint Archive, 2025.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions VOLE-in-the- Head Signatures Based on the Linear Code Equivalence Problem.Cryptol- ogy ePrint Archive, 2025

Reference 11

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source=pdf_text observed=2026-08-02T06:24:50.761301Z digest=sha256:bf936604ac6dc44f0c1871f6b67aa060be3a84e1ee1db8ea9624cd4b2f5c1259

Observation ad978587-620d-4fc2-a110-28bb699ed962 · outbound

This paper cites Using the Schur prod- uct to solve the code equivalence problem.ePrint, 2025.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Using the Schur prod- uct to solve the code equivalence problem.ePrint, 2025

Reference 12

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source=pdf_text observed=2026-08-02T06:24:50.974211Z digest=sha256:e59eb717bb94c66e21fe4f488a0646fa9c3350676f274a93e3a9072d8a4331c5

Observation bec731d5-d649-406e-8ca1-41546b13e3a2 · outbound

This paper cites Asymp- totic improvements to provable algorithms for the code equivalence prob- lem.IEEE Transactions on Information Theory, 72(2):1093–1108, 2025.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Asymp- totic improvements to provable algorithms for the code equivalence prob- lem.IEEE Transactions on Information Theory, 72(2):1093–1108, 2025

Reference 13

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source=pdf_text observed=2026-08-02T06:24:51.122313Z digest=sha256:d245236070428a5cabfb52648b7545417ff260922532e384bcd66dfc3bceee7c

Observation 08903126-566b-4436-8db4-898582f672f6 · outbound

This paper cites Relating code equivalence to other isomorphism problems.Designs, Codes and Cryptography, 93(3):701– 723, 2025.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Relating code equivalence to other isomorphism problems.Designs, Codes and Cryptography, 93(3):701– 723, 2025

Reference 14

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source=pdf_text observed=2026-08-02T06:24:51.297158Z digest=sha256:19d6d61e91ff7b276171a746758374442379f45a3c6a8488c6de94af9be07eeb

Observation 76c47b57-6ef9-46b9-a6fa-59c3d8fc2225 · outbound

This paper cites Not enough LESS: an improved algorithm for solving code equivalence problems overFq.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Not enough LESS: an improved algorithm for solving code equivalence problems overFq

Reference 15

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source=pdf_text observed=2026-08-02T06:24:51.395552Z digest=sha256:fba224ef211d28fd864f5577dec87708f1e6c2d7b9fadf12357148607356e471

Observation 4b828f78-ef57-4fc9-a498-9969569344f2 · outbound

This paper cites A search-to-decision reduction for the permutation code equivalence problem.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions A search-to-decision reduction for the permutation code equivalence problem

Reference 16

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source=pdf_text observed=2026-08-02T06:24:51.552670Z digest=sha256:d74087080eef08c58ef3ef7936aa65b7b215bcd9cd55758c1b3b822beaa867a6

Observation 30d0ee4e-bdaa-4364-bf92-e4ff378e2be0 · outbound

This paper cites LESS is more: code-based signatures without syndromes.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions LESS is more: code-based signatures without syndromes

Reference 17

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source=pdf_text observed=2026-08-02T06:24:51.595564Z digest=sha256:8bf32f9042c6b47a34c510ced7788eafa342c28129261af650ba6cac8a79fc8f

Observation 9b9aac16-4f63-4cef-a99c-d17cc1c66f33 · outbound

This paper cites Don’t use it twice! Solving relaxed linear equivalence problems.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Don’t use it twice! Solving relaxed linear equivalence problems

Reference 18

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source=pdf_text observed=2026-08-02T06:24:51.654273Z digest=sha256:c31c4b1113ea65dd8f0bc5988a97f873e9afe8eabfa85d48e3e41c17d966a123

Observation 0e72939c-01e8-4c75-8cc0-5199e3c293e6 · outbound

This paper cites Onepairtorulethemall: Anoptimal algorithm for solving code equivalence via codeword search.ePrint, 2026.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Onepairtorulethemall: Anoptimal algorithm for solving code equivalence via codeword search.ePrint, 2026

Reference 19

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source=pdf_text observed=2026-08-02T06:24:51.719793Z digest=sha256:998f845721129426d0c51c04b5d21873c5e28cf19f442c514af800bbfc5e7e27

Observation 5e944198-1e8e-4dd2-a636-e5ea3ea3cfb9 · outbound

This paper cites Two is all it takes: Asymptotic and concrete improvements for solving code equivalence.ePrint, 2025.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Two is all it takes: Asymptotic and concrete improvements for solving code equivalence.ePrint, 2025

Reference 20

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source=pdf_text observed=2026-08-02T06:24:51.784342Z digest=sha256:e6409476317d04e7918e03eefc52b62202b2b106fa2371a309234ff25001713c

Observation 3d519b27-779e-48ea-9e31-4b820b2dc907 · outbound

This paper cites Linear codes overF q are equivalent to LCD codes forq >3.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Linear codes overF q are equivalent to LCD codes forq >3

Reference 21

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source=pdf_text observed=2026-08-02T06:24:51.850714Z digest=sha256:8ba36fcaac8c4524ff223e2285b4c46ab362274e4696d239178d5e4cf30e3162

Observation 117522d1-c554-497c-a18a-7c9a1e753d40 · outbound

This paper cites Reductions between code equivalence problems.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Reductions between code equivalence problems

Reference 22

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source=pdf_text observed=2026-08-02T06:24:51.917659Z digest=sha256:0437574d00867de36898206986262bade35b7d7a51723c27d12ba321fd7ca2ce

Observation f3a60d67-781b-4342-8d27-51467aa435a0 · outbound

This paper cites On linear equivalence, canonical forms, and digital signatures.Designs, Codes and Cryptography, pages 1–43, 2025.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions On linear equivalence, canonical forms, and digital signatures.Designs, Codes and Cryptography, pages 1–43, 2025

Reference 23

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Observation cb6681eb-8c00-44ad-bf2c-4235f770155a · outbound

This paper cites On the hardness of code equivalence problems in rank metric.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions On the hardness of code equivalence problems in rank metric

Reference 24

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source=pdf_text observed=2026-08-02T06:24:52.207723Z digest=sha256:ff6c441a50f9852b43183eaa8a747b614f8cb0a61de1f14f089ba537587fea76

Observation 8a133f95-8cb7-4995-b214-0de6f84402ee · outbound

This paper cites Hull attacks on the lattice isomorphism problem.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Hull attacks on the lattice isomorphism problem

Reference 25

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source=pdf_text observed=2026-08-02T06:24:52.341519Z digest=sha256:89d5603fa9d475e68a7641ad2e5e9fcbf5c6bf41a82bc1d6b4d17cbb09935a24

Observation 76213978-0900-4eb1-bb8d-6c2680bbd11f · outbound

This paper cites Monomial isomorphism for tensors and applica- tions to code equivalence problems.Designs, Codes and Cryptography, 92(7):1961–1982, 2024.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Monomial isomorphism for tensors and applica- tions to code equivalence problems.Designs, Codes and Cryptography, 92(7):1961–1982, 2024

Reference 26

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source=pdf_text observed=2026-08-02T06:24:52.509947Z digest=sha256:99b68fa7e06733d1d0f34a697ad79df00d71553d52f792cccb81ef6d19da1300

Observation 4c530582-75d6-47b2-b2e7-d7c42db9d7e3 · outbound

This paper cites On the hardness of the decoding and the minimum distance problems for rank codes.IEEE Transactions on Information Theory, 62(12):7245–7252, 2016.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions On the hardness of the decoding and the minimum distance problems for rank codes.IEEE Transactions on Information Theory, 62(12):7245–7252, 2016

Reference 27

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Observation 54f27ea5-c52e-41d1-bacc-d98f2a0be479 · outbound

This paper cites Complexity of finding automorphism group of code.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Complexity of finding automorphism group of code

Reference 28

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source=pdf_text observed=2026-08-02T06:24:52.632380Z digest=sha256:7354d077ca7259e63be3988f3d4e8974d3acde18301b889f290940541443974a

Observation 784dc5f4-b13b-46e7-90a1-b80a3caaff32 · outbound

This paper cites Matrix isomorphism of matrix lie algebras.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Matrix isomorphism of matrix lie algebras

Reference 29

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source=pdf_text observed=2026-08-02T06:24:52.713771Z digest=sha256:90167986465257c46fb2c0673a96857a05bdb60113ceecd18ed01b5050580918

Observation 870fc566-c9e6-4e8c-aa8a-a0b5cbb1c959 · outbound

This paper cites On the complexity of isomorphism problems for tensors, groups, and polynomials i: tensor isomorphism- completeness.SIAM Journal on Computing, 52(2):568–617, 2023.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions On the complexity of isomorphism problems for tensors, groups, and polynomials i: tensor isomorphism- completeness.SIAM Journal on Computing, 52(2):568–617, 2023

Reference 30

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source=pdf_text observed=2026-08-02T06:24:52.806588Z digest=sha256:48d25e75dfa28091ab190fd542ad6e03b88f515eb3e6abd75b0e473bc309b799

Observation 23f14cb7-3811-4ee8-8d13-a06d23c7fda6 · outbound

This paper cites Tanuki: New Frameworks for (Concurrently Se- cure)BlindSignaturesfromPost-QuantumGroupActions.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Tanuki: New Frameworks for (Concurrently Se- cure)BlindSignaturesfromPost-QuantumGroupActions

Reference 31

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Observation 203ddb20-9100-4853-80ea-381bb06d426c · outbound

This paper cites Springer, 2006.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Springer, 2006

Reference 32

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source=pdf_text observed=2026-08-02T06:24:52.980610Z digest=sha256:fca67486078e6ed763054b7717dc21c7997140cc602ccca8d6db8e1b4f9263b0

Observation 734237fb-330e-4f1d-af70-76b194219432 · outbound

This paper cites Code equivalence, point set equivalence, and polynomial isomorphism.arXiv:2511.06843, 2025.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Code equivalence, point set equivalence, and polynomial isomorphism.arXiv:2511.06843, 2025

Reference 33

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source=pdf_text observed=2026-08-02T06:24:53.118791Z digest=sha256:02ab60f9b6c60fee34fd2c5bb438a6acbc48d628f9d44cd394a728c56907459c

Observation 0943280b-e317-487e-8e8a-0136e73b597e · outbound

This paper cites Rigid linear binary codes.Journal of Combinatorial Theory, Series A, 63(1):110–128, 1993.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Rigid linear binary codes.Journal of Combinatorial Theory, Series A, 63(1):110–128, 1993

Reference 34

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source=pdf_text observed=2026-08-02T06:24:53.205508Z digest=sha256:cbadb40bafca6bc02ec43f8cb41a9afbdd3b3a9ef8d5d54795508ecc63079728

Observation aa14c374-1298-466e-bd9d-87c9658b2321 · outbound

This paper cites Computing automorphism groups of error-correcting codes.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Computing automorphism groups of error-correcting codes

Reference 35

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source=pdf_text observed=2026-08-02T06:24:53.324784Z digest=sha256:7960e5eab235e2edbc884ddc81d9b9e3356eadd6737a979d2699b935cc8646bf

Observation 564099eb-7aa7-42e7-a8d5-a6b27d1aa69d · outbound

This paper cites A note on the graph isomorphism counting problem.Inf.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions A note on the graph isomorphism counting problem.Inf

Reference 36

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no resolver link, observed 2026-08-02T06:24:53.385734Z

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source=pdf_text observed=2026-08-02T06:24:53.385734Z digest=sha256:25f62b5ad58cea9f09867d506d8c9e9ee8281073a2b57974e24fef6d4233f9e6

Observation f768f7cd-d41e-4a34-8110-cbe391fff2d4 · outbound

This paper cites An improved algorithm for code equivalence.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions An improved algorithm for code equivalence

Reference 37

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source=pdf_text observed=2026-08-02T06:24:53.486758Z digest=sha256:3b5ecf77c4c94b6359b76fd8f5fe64273a5461624b10a6fb017237924fbfa41c

Observation f12822aa-93cc-41df-83f6-f0b6c1580cf8 · outbound

This paper cites Codes, cryptology and curves with computer algebra, volume 1.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Codes, cryptology and curves with computer algebra, volume 1

Reference 38

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no resolver link, observed 2026-08-02T06:24:53.574577Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-02T06:24:53.574577Z digest=sha256:e58eb3bee2f7588b44a632bd51d85385db40045d9a4fe5c578beb279d54ec85d

Observation 07da175b-5052-47c6-90a4-18bfd9400649 · outbound

This paper cites Is code equivalence easy to decide?IEEE Transactions on Information Theory, 43(5):1602–1604, 1997.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Is code equivalence easy to decide?IEEE Transactions on Information Theory, 43(5):1602–1604, 1997

Reference 39

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no resolver link, observed 2026-08-02T06:24:53.660321Z

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source=pdf_text observed=2026-08-02T06:24:53.660321Z digest=sha256:225dabd75af513ccf5153c95f490bb670af70e4da9e46ec0b4f61eaec449a133

Observation d443a58f-d463-49c2-992e-80d8791b4e1b · outbound

This paper cites PhD thesis, Normandie Université; University of Khartoum, 2017.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions PhD thesis, Normandie Université; University of Khartoum, 2017

Reference 40

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no resolver link, observed 2026-08-02T06:24:53.746451Z

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source=pdf_text observed=2026-08-02T06:24:53.746451Z digest=sha256:22ea1d365ee0e6d55b0bb09b7631e6e1a28395dd45144991f60bc70618adf668

Observation a4de58e5-1f73-4062-a3cb-e25aa6c4f57c · outbound

This paper cites Computational hard- ness of the permuted kernel and subcode equivalence problems.IEEE Transactions on Information Theory, 2023.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Computational hard- ness of the permuted kernel and subcode equivalence problems.IEEE Transactions on Information Theory, 2023

Reference 41

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no resolver link, observed 2026-08-02T06:24:53.824549Z

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source=pdf_text observed=2026-08-02T06:24:53.824549Z digest=sha256:b4c343f86e6dbe4d77740a3556765556b05625836d282f61d815ed1ea9eb9cdc

Observation 11d06b21-1f54-48e3-902c-26deabec5611 · outbound

This paper cites Finding the permutation between equivalent linear codes: The support splitting algorithm.IEEE Transactions on Information The- ory, 46(4):1193–1203, 2000.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions Finding the permutation between equivalent linear codes: The support splitting algorithm.IEEE Transactions on Information The- ory, 46(4):1193–1203, 2000

Reference 42

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no resolver link, observed 2026-08-02T06:24:53.900807Z

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source=pdf_text observed=2026-08-02T06:24:53.900807Z digest=sha256:8317ef59347748b683dad4b498fd636eacdf33896e6559f67167e1def58aa3f0

Observation b52b1703-d037-492a-8a36-9dc5bc19698a · outbound

This paper cites The hardness of code equivalence overF q and its application to code-based cryptography.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions The hardness of code equivalence overF q and its application to code-based cryptography

Reference 43

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no resolver link, observed 2026-08-02T06:24:54.026726Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-02T06:24:54.026726Z digest=sha256:68e0ffc449ffc298eca38dd4fdbd43886f18d743181707ab7dce2977f8a6de37

Observation 1e8381c9-9a8b-4fda-9241-2e660c8e5e8e · outbound

This paper cites How easy is code equivalence over Fq? InInternational Workshop on Coding and Cryptography-WCC 2013, 2013.

A Survey on Code Equivalence: The State-of-the-Art and Open Questions How easy is code equivalence over Fq? InInternational Workshop on Coding and Cryptography-WCC 2013, 2013

Reference 44

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:24:54.175440Z digest=sha256:abd5b2c0374733e46a95db88c4e48014881eda1fdb264b3afde63124de70ee86

Pith citing papers

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