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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 2026-08-07T06:34:17.273281+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=sha256:1318ab339f6036416c42ef00dfa21f9a802da8ca4ef334c216b123dc7564cf4a

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=sha256:458d24bcad91e4bb5eb52efed3d8b8ce6521a7fbbe2eda008c3998ecafc0b442

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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source=pdf_text observed=2026-08-07T05:07:22.242666Z digest=sha256:508e17d69ce9dcc0713b32b06dd28cac262ceb0445015cc0b9dbe9c9125bac34

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:abb32298fa07dc0511eeac35a9ed61533dbda6c1878d70e393f580258b12d5df

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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source=pdf_text observed=2026-08-07T05:07:22.252283Z digest=sha256:4565871485d02291b677df69879b87e9c1220185514b8aa3b4e478e709ad22b2

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=sha256:8caade82f93b713033ef2d5d357c30459119b7114ff66afab69538c2f28c290e

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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source=pdf_text observed=2026-08-07T05:07:22.265193Z digest=sha256:37d67a16e395bc600e50020b401cda93a9811ed495a5f9c07506f096de789504

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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source=pdf_text observed=2026-08-07T05:07:22.269522Z digest=sha256:baebddbaa8de5d3b97db2f2cb1cf6a41f50ea88d52c38e129c4c9d3efea98003

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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source=pdf_text observed=2026-08-07T05:07:22.273814Z digest=sha256:606d3e0f0ec472c209efa777eebb32a5c044db45bc9afb77d2d346e04be545f8

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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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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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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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=sha256:6edb8388e22992e87a39ff866cd1652bf2963513a596b6a3c6a54ca0e4a11bc3

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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source=pdf_text observed=2026-08-07T05:07:22.298089Z digest=sha256:2d0827c83bf597ca9700bc6f3af608d9431b8ba1cf3c72a83e8641cf77dfef4b

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=sha256:76463c4c559dc92d46b5bfbdbb98ec9d7fb2da7199874cd37726dbaf6722c0ee

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=sha256:24699c3a643a8732c39016874237ac5441e685c295514a44b1b2b00724f469ff

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=sha256:6e83a0dfb9f59f2dd991041f23ba65f7d98f9404492105670e53525a3f55d0d1

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:fb270f6490c5e76bdf2f0c238a0624e4973a3fa876213b8fff0c54a846a31d2d

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=sha256:81141214681611b657b0ec935d6a39747b68bffe6bba31e0092d52c2808cd08b

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