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Paper Citation Record · LEDGER

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings

As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.09017.

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

pith.paper-citation-record.v1
2506.09017 v1

Coverage vector

measured 24 of 24 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T05:07:22.318727Z

measured 24 of 24 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

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Reference resolution

24 of 24 outbound references displayed

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External citation measurements

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Outbound references

Observation 7f7b2b99-0659-45ef-ad15-b3d84c3cffc8 · outbound

This paper cites Repairing Generalized Reed-Muller Codes.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Repairing Generalized Reed-Muller Codes

Reference 1

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Observation 566a138e-d561-4fba-a444-6b53889a1692 · outbound

This paper cites Network coding for distributed storage systems.IEEE transactions on information theory, 56(9):4539–4551, 2010.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Network coding for distributed storage systems.IEEE transactions on information theory, 56(9):4539–4551, 2010

Reference 2

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Observation c851e646-8d22-4c70-8154-ca53bd0600e7 · outbound

This paper cites Springer, 2017.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Springer, 2017

Reference 3

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Observation 7a6cfa3c-97bf-4720-91b6-c62da9054797 · outbound

This paper cites Mds codes over finite principal ideal rings.Designs, Codes and Cryptography, 50:77–92, 2009.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Mds codes over finite principal ideal rings.Designs, Codes and Cryptography, 50:77–92, 2009

Reference 4

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source=pdf_text observed=2026-08-07T05:07:22.059225Z digest=sha256:7f6ad70e41236b51921f331ae06df94f76217bf62a7e7c9283016afaf37e35f4

Observation 9fa2a2f9-6d1a-4c73-968f-fd41ca1dd9fc · outbound

This paper cites Available athttps:// hadoop.apache.org/docs/stable/index.html.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Available athttps:// hadoop.apache.org/docs/stable/index.html

Reference 5

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source=pdf_text observed=2026-08-07T05:07:22.151331Z digest=sha256:ba7052a8477cfa09b1e0f6c52bdc5a12e17399fbcc710166550b6187d4d50615

Observation c0a23121-caec-40cb-979f-4f23fc850e30 · outbound

This paper cites Generalized frobenius extensions of finite rings and trace functions.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Generalized frobenius extensions of finite rings and trace functions

Reference 6

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:07:22.242666Z digest=sha256:213682d676ae467e08f997f9776ce98057bf39eb3d957242ac56bd27a22a3f96

Observation 0e0f68fe-292f-4fd4-b7ad-763fbd80bf1d · outbound

This paper cites Repairing reed-solomon codes.IEEE Transac- tions on Information Theory, 63(9):5684–5698, 2017.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Repairing reed-solomon codes.IEEE Transac- tions on Information Theory, 63(9):5684–5698, 2017

Reference 7

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source=pdf_text observed=2026-08-07T05:07:22.247918Z digest=sha256:7d6fcd4e363135b9e2962e2ff938a28bd31dd14e474761eeaf9a310e248a72ae

Observation 56b824ca-d917-4718-a65a-e4f9aa2708da · outbound

This paper cites The z/sub 4/-linearity of kerdock, preparata, goethals, and related codes.IEEE Transactions on Information Theory, 40(2):301–319, 1994.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings The z/sub 4/-linearity of kerdock, preparata, goethals, and related codes.IEEE Transactions on Information Theory, 40(2):301–319, 1994

Reference 8

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:07:22.252283Z digest=sha256:36d568aa6f1b94547b02966b58dca54ae19e274492b65f82a0138bb2bd3a1cf7

Observation 44eb46ff-aa47-4267-956c-efbf1ba565c8 · outbound

This paper cites Linear codes over finite chain rings.the electronic journal of combinatorics, 7:R11–R11, 2000.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Linear codes over finite chain rings.the electronic journal of combinatorics, 7:R11–R11, 2000

Reference 9

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source=pdf_text observed=2026-08-07T05:07:22.256786Z digest=sha256:b6c24a699ab8400d446b995b0bb7c0690587af771ac7ac7816f9aa73e6ffa753

Observation ee7a2194-1d40-48b3-b574-f44e85d77869 · outbound

This paper cites Repairing algebraic geometry codes.IEEE Trans- actions on Information Theory, 64(2):900–908, 2018.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Repairing algebraic geometry codes.IEEE Trans- actions on Information Theory, 64(2):900–908, 2018

Reference 10

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Observation 9bab84a6-f118-4b22-8915-0e7da6038cd8 · outbound

This paper cites On cyclic codes over galois rings.Discrete Applied Mathematics, 280:156–161, 2020.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings On cyclic codes over galois rings.Discrete Applied Mathematics, 280:156–161, 2020

Reference 11

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Observation 75835f54-8a32-4f22-819b-5846889eabca · outbound

This paper cites Cam- bridge university press, 1994.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Cam- bridge university press, 1994

Reference 12

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Observation cbc0e6f1-9e91-406f-8f6c-cbbbb435cd18 · outbound

This paper cites L´ opez, Gretchen L.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings L´ opez, Gretchen L

Reference 13

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Observation b8f4e75a-09a7-4a01-a4f2-fa50f5ab7597 · outbound

This paper cites an unresolved cited work.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Unresolved cited work

Reference 14

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source=pdf_text observed=2026-08-07T05:07:22.277981Z digest=sha256:f42c6e3315477c3a2212c9c69a32aeb4745e90460ed1617f8e8a24c3a4f0d2c7

Observation ea7165e2-a351-41b2-b673-4ae8e696e22f · outbound

This paper cites MacWilliams and N.J.A.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings MacWilliams and N.J.A

Reference 15

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source=pdf_text observed=2026-08-07T05:07:22.282190Z digest=sha256:f114ed63f9d1d7b41db8c3943ac9846ae45da79acde81f3c3ba733ce56dd014f

Observation be7362d7-812e-4408-8b08-2f7a626ef673 · outbound

This paper cites McDonald.Finite rings with identity, volume 28.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings McDonald.Finite rings with identity, volume 28

Reference 16

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source=pdf_text observed=2026-08-07T05:07:22.286232Z digest=sha256:5107b646a9116c03d5a7d4595c771e0be0e0264373548f2b73f5c9354130fa69

Observation bde9e360-d79b-41f2-b4bb-caa556051d36 · outbound

This paper cites Norton and A.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Norton and A

Reference 17

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source=pdf_text observed=2026-08-07T05:07:22.290169Z digest=sha256:736ed6da7a10f732af9dcc7fa9a3d9048d79a61d8220ca37d67eef110164baa1

Observation 956d93ab-bb81-4b2c-a7e9-314c1dfcc8a9 · outbound

This paper cites Strong gr¨ obner bases and cyclic codes over a finite-chain ring.Electronic Notes in Discrete Mathematics, 6:240–250, 2001.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Strong gr¨ obner bases and cyclic codes over a finite-chain ring.Electronic Notes in Discrete Mathematics, 6:240–250, 2001

Reference 18

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Observation 47bceadf-f47b-4a9e-a933-7b00495be894 · outbound

This paper cites On generalized reed–solomon codes over commutative and noncommutative rings.IEEE transactions on information the- ory, 59(9):5882–5897, 2013.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings On generalized reed–solomon codes over commutative and noncommutative rings.IEEE transactions on information the- ory, 59(9):5882–5897, 2013

Reference 19

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Observation a1d00400-206c-4e30-909f-86201b105d4c · outbound

This paper cites Academic Press, 2017.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Academic Press, 2017

Reference 20

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source=pdf_text observed=2026-08-07T05:07:22.302294Z digest=sha256:f4350e2e5e77646d06dd8020e270e097aeffcd7fb8acd6938f8972aaacd57119

Observation a824d152-2f79-4c05-bde6-69a806fe3f7f · outbound

This paper cites Bases and automorphism matrix of the galois ring GR(p r, m) overZ pr.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Bases and automorphism matrix of the galois ring GR(p r, m) overZ pr

Reference 21

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source=pdf_text observed=2026-08-07T05:07:22.306597Z digest=sha256:9622c6d751427cc60a2b45aff394ffc7bc9e687a2ade62d75ea416c042ec9523

Observation f76f2b6c-9401-4cf5-9b99-5fc3475ffdf1 · outbound

This paper cites World Scientific Publishing Com- pany, 2003.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings World Scientific Publishing Com- pany, 2003

Reference 22

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source=pdf_text observed=2026-08-07T05:07:22.310740Z digest=sha256:97fa9ee70c1fd6522022bcc548aca16f4d366dbcfaa0acee70f7fbe5ae69d902

Observation 05c565dd-e781-4352-93d0-f5cc395f45df · outbound

This paper cites Code equivalence characterizes finite frobenius rings.Proceedings of the American Mathematical Society, 136(2):699–706, 2008.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Code equivalence characterizes finite frobenius rings.Proceedings of the American Mathematical Society, 136(2):699–706, 2008

Reference 23

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source=pdf_text observed=2026-08-07T05:07:22.314634Z digest=sha256:9ec967c605ee54ad753f7d8a113098049e859e5253553bae109ea4bd3d09638a

Observation edc80d0e-315c-4c60-a41c-e58820ac2d51 · outbound

This paper cites Duality for modules over finite rings and applications to coding theory.American journal of Mathematics, pages 555–575, 1999.

Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings Duality for modules over finite rings and applications to coding theory.American journal of Mathematics, pages 555–575, 1999

Reference 24

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source=pdf_text observed=2026-08-07T05:07:22.318727Z digest=sha256:952e48cdfbfdb1a193ee169420ffb46f7f580dae27e9b0a017253bde706c98bd

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