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Paper Citation Record · LEDGER

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions

As of 8 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2606.11764.

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

pith.paper-citation-record.v1
2606.11764 v1

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T08:23:45.294590Z

measured 42 of 42 standing notices

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

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Reference resolution

42 of 42 outbound references displayed

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Outbound references

Observation 74ad4bbb-b74c-4a14-9abb-42a06924f3b7 · outbound

This paper cites Orthogonal Direct Sum Masking: A Smartcard Friendly Computation Paradigm in a Code, with Builtin Protection against Side-Channel and Fault Attacks,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Orthogonal Direct Sum Masking: A Smartcard Friendly Computation Paradigm in a Code, with Builtin Protection against Side-Channel and Fault Attacks,

Reference 1

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:c258ab0d48e689c826701e0fe3d560b9b3676bb4bb9e942c996d0a873d67d290

Observation c1675bec-63a6-478e-b73c-68faa93a2784 · outbound

This paper cites Complementary Dual Codes for Counter-Measures to Side-Channel Attacks,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Complementary Dual Codes for Counter-Measures to Side-Channel Attacks,

Reference 2

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:5f876ce16dfeefda364f023ca7c2423c7698a5a4d8bd05e61436686dd7b56efc

Observation e741621b-0cba-4bab-870f-ba7990331b41 · outbound

This paper cites Encoding the state of integrated circuits: A proactive and reactive protection against hardware Trojans horses,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Encoding the state of integrated circuits: A proactive and reactive protection against hardware Trojans horses,

Reference 3

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:4cffe3ee7a77bf265dec08df4f6a5852b42130ee70d1a055bea61a8ef857fe3d

Observation 145b0b3c-c56a-4e1a-b20b-aa3a01b73e04 · outbound

This paper cites Linear complementary dual code improvement to strengthen encoded circuit against hardware Trojan horses,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Linear complementary dual code improvement to strengthen encoded circuit against hardware Trojan horses,

Reference 4

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:716246c114433d8eeda9e95051a163305f73813f8549dafb791e32dcc2e9a73c

Observation f041f511-7993-45b3-be60-90c0a27a9de5 · outbound

This paper cites Linear codes with complementary duals,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Linear codes with complementary duals,

Reference 5

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:71ebd1bf4d36b1011367b42e6f2e87db0131f16d95c3a23b5d03012066733469

Observation cf3f192e-25ba-4d4f-b85e-52cc934d1ea4 · outbound

This paper cites The condition for a cyclic code to have a complementary dual,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions The condition for a cyclic code to have a complementary dual,

Reference 6

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:4830ea9c0b770aeee82a8a9dc9124642d27148632a1820494ecde5528769bedb

Observation 96a63533-571a-4e28-8bb8-931adec7800a · outbound

This paper cites Linear Codes OverF q Are Equivalent to LCD Codes forq >3,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Linear Codes OverF q Are Equivalent to LCD Codes forq >3,

Reference 7

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:41c537852be01e105ceee7e1396a3ca35fd76db9a5791a1680de1d56c7f46b6e

Observation a0323c11-ce1f-4b6d-9f3c-e1e1a5857f2e · outbound

This paper cites Algebraic Geometry Codes With Complementary Duals Exceed the Asymptotic Gilbert-Varshamov Bound,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Algebraic Geometry Codes With Complementary Duals Exceed the Asymptotic Gilbert-Varshamov Bound,

Reference 8

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:8c86aeff796b397437a352c25ffcbc2fa614e6fc769ab7e51784103aada360e2

Observation f7d24ac7-4759-4679-a4d0-98b950fc6cfb · outbound

This paper cites On Linear Complementary Pairs of Codes,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions On Linear Complementary Pairs of Codes,

Reference 9

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:c8b816e52deb81cf7bcb5682c7688f59489774d877c76bc468a4a47f70d3abb5

Observation 6921569c-047f-4a8d-bc26-82d3d5281b92 · outbound

This paper cites On Linear Complementary Pair ofnD Cyclic Codes,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions On Linear Complementary Pair ofnD Cyclic Codes,

Reference 10

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:be16652846bbb059c5ed84dbf2e0f2556b6c25c80c86a703f4c5378c595db629

Observation d8b4b001-f038-48a9-9af3-84caa95abc18 · outbound

This paper cites Linear codes with complementary duals meet the Gilbert–Varshamov bound,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Linear codes with complementary duals meet the Gilbert–Varshamov bound,

Reference 11

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:27dfec4a68d397ac0175fe3a208184de68f252851ca0241a46147d9c2a25e9cc

Observation 8a4466ed-4688-4ae7-bd9c-77ae284f8eb5 · outbound

This paper cites Euclidean and Hermitian LCD MDS codes,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Euclidean and Hermitian LCD MDS codes,

Reference 12

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:73858587bdbc71dee4af07b9344f4ace997e440629ed9bd8f391ec7c88513c8d

Observation 59c6978a-8afa-46bf-adef-cff661184853 · outbound

This paper cites Constructions of optimal LCD codes over large finite fields,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Constructions of optimal LCD codes over large finite fields,

Reference 13

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:10fa3ea85416fbf2f923e6d94164c9b7fe35e74f71574613b2c0c132aff5328d

Observation f4bcb51d-9b80-4789-9376-66a4d06ae9fe · outbound

This paper cites Linear complementary pairs of codes over a finite non-commutative Frobenius ring,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Linear complementary pairs of codes over a finite non-commutative Frobenius ring,

Reference 14

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:c5eb0077031c379a0c7973c2250560036ae08fb5335ac0e05aa704ed77562454

Observation 19a8ff4f-3150-4fe7-b62f-075c30b16d2e · outbound

This paper cites Several constructions of optimal LCD codes over small finite fields,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Several constructions of optimal LCD codes over small finite fields,

Reference 15

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:1f91faf825bea3708767e384ad9a9bc6a259734f3dd5ac3af6ba6ee2f878c393

Observation e560696c-54d7-4ca4-b93e-779257b7b735 · outbound

This paper cites A note on linear complementary pairs of group codes,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions A note on linear complementary pairs of group codes,

Reference 16

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:6b2b2543675dbf23a431c971e8a605e57ba4ca4f8e3f22728cdf63c832a2d6a0

Observation 54a45f9a-6c39-4d9c-9bb8-4a4051aa530c · outbound

This paper cites Linear complementary pairs of codes over rings,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Linear complementary pairs of codes over rings,

Reference 17

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:9512cb584c9fa811e5c266159952de9fab084817abbb33323ccdca05fb555af2

Observation b38c8412-539b-425a-bbbf-1ed552a570a0 · outbound

This paper cites Construction for both self-dual codes and LCD codes,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Construction for both self-dual codes and LCD codes,

Reference 18

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:c11da6c3a1b3f499890b12af6dd3afc86c61a687ad0fd6f25045270c286d5dd4

Observation 40a615ae-0039-4fab-9b78-850c2ad40913 · outbound

This paper cites Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes,

Reference 19

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:d8b02ac1dc7452f679eb00230f066db20f8fbcfc847974b6519c53511e563d2e

Observation b822536f-fe29-48b0-b51c-85fb2db279aa · outbound

This paper cites ALGEBRAICO-GEOMETRIC CODES,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions ALGEBRAICO-GEOMETRIC CODES,

Reference 20

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:f7d60e3a9f6e3a3fe1096004663f9b2c9b9a1b8ce11c22b3e50e7a8c53059822

Observation ee765f33-3d1e-48d1-b5a6-29fdbc18bbb2 · outbound

This paper cites Explicit MDS Codes With Complementary Duals,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Explicit MDS Codes With Complementary Duals,

Reference 21

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:4723fccf73d0c76d8b1ca50e4ea9ab5aaa35a84f72859febb51f057df306dad0

Observation 87b59806-d92c-4bbe-86ca-a044a346a6c6 · outbound

This paper cites Complementary Dual Algebraic Geometry Codes,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Complementary Dual Algebraic Geometry Codes,

Reference 22

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:04b2e03da13a0ed35327253ec40d73943c574d0e06d38cef00ce5feb195c06a9

Observation 9d352cf3-df10-4a81-bf6e-ea96abdfeb33 · outbound

This paper cites On linear complementary pairs of algebraic geometry codes over finite fields,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions On linear complementary pairs of algebraic geometry codes over finite fields,

Reference 23

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:258d5a4f2ba76b6a69cbef06077b54700f4ceba6052088346c4d3048a67ab21f

Observation b0d4a1cf-46a0-4ec1-8c99-d7e6fae077ea · outbound

This paper cites Explicit Non-special Divisors of Small Degree, Algebraic Geometric Hulls, and LCD Codes from Kummer Extensions,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Explicit Non-special Divisors of Small Degree, Algebraic Geometric Hulls, and LCD Codes from Kummer Extensions,

Reference 24

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:e7be741488179808120a05176169ea323f564f4c3239370a4a545d0783d0d551

Observation 217f25f8-84ff-4a7a-bac5-700301250052 · outbound

This paper cites Linear Complementary Dual Codes and Linear Complementary Pairs of AG Codes in Function Fields,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Linear Complementary Dual Codes and Linear Complementary Pairs of AG Codes in Function Fields,

Reference 25

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:56ae14c3f8fab2b42ef0d803f4e25b0bd666a3f4d36f7b6012be7331651aa339

Observation f90d2d98-e180-4ff0-95f7-8c541bbb47f3 · outbound

This paper cites Linear Complementary Pairs of Algebraic Geometry Codes via Kummer Extensions.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Linear Complementary Pairs of Algebraic Geometry Codes via Kummer Extensions

Reference 26

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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=2026-06-27T08:23:45.294590Z digest=sha256:faf0de9f87bb6201c511cfec247ba00ed4138f98f13a9e91707ec2c61f1448ed

Observation ae3cc663-a00e-41ec-8051-81c8896e9a2b · outbound

This paper cites Characterization of non-special divisors of small degree on Kummer extensions and LCP codes.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Characterization of non-special divisors of small degree on Kummer extensions and LCP codes

Reference 27

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local_arxiv, observed 2026-07-03T13:08:09.038821Z

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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=2026-06-27T08:23:45.294590Z digest=sha256:6eda9c68205378f8e23edb71d2103a6b9bd4fdce8d6de5265683c528e3314155

Observation 2db7fe8f-abc1-4f5a-b480-14836f71d631 · outbound

This paper cites Construction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP Codes.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Construction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP Codes

Reference 28

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:aaba5e3f0911766c4734622e1ce55a6637b1d0eded92219f6b93f5db1420dd70

Observation 0dc5df70-5258-44be-822c-71c4328c5e96 · outbound

This paper cites Code Construction on Fiber Products of Kummer Covers,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Code Construction on Fiber Products of Kummer Covers,

Reference 29

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:5c2fe4eca95e9aa9434743a2883b0f7a764278cc14f162e4759d4170d6ec8cfd

Observation 948943c5-bea5-492a-b679-db0dec6cb98b · outbound

This paper cites an unresolved cited work.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Unresolved cited work

Reference 30

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:52856c191a6bfb741543a26a89f3e89abba65434ec27734a3f84eefa1cb94b7e

Observation 5691f6b6-a4da-43d9-bfbf-86abe370cfef · outbound

This paper cites On the existence of non-special divisors of degree g and g - 1 in algebraic function fields overF q,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions On the existence of non-special divisors of degree g and g - 1 in algebraic function fields overF q,

Reference 31

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:a686ab8977534f71439555038996b802981724281ea3af58794081f84d650245

Observation f713e39d-9c1a-4667-8542-c6a5160466e4 · outbound

This paper cites Pure gaps at many places and multi-point AG codes from arbitrary Kummer extensions,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Pure gaps at many places and multi-point AG codes from arbitrary Kummer extensions,

Reference 32

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:2cdf50244fc1eff14daef39cde99fbdbc06f17cd226b1f32652e703def958ab7

Observation 2d8d719c-78bc-4426-a1f7-0b683d56d778 · outbound

This paper cites On the index of the Weierstrass semigroup of a pair of points on a curve,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions On the index of the Weierstrass semigroup of a pair of points on a curve,

Reference 33

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:4b0ace7a0deaeaa7a03596df89ca93fd99c4dc27bfe6009c209030ae562851d3

Observation 1617f901-3556-4e3b-80e2-4dc7a1b00203 · outbound

This paper cites The Weierstrass Semigroup of an m-tuple of Collinear Points on a Hermitian Curve,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions The Weierstrass Semigroup of an m-tuple of Collinear Points on a Hermitian Curve,

Reference 34

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:939a13b9c90d78dce18e20983e08ebf7324f6072c2039a78a4a590a74e931072

Observation 7b181326-ca35-404e-b703-1a4b9478333b · outbound

This paper cites On Goppa Codes and Weierstrass Gaps at Several Points,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions On Goppa Codes and Weierstrass Gaps at Several Points,

Reference 35

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source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:4781cd6b6356ca67d706805612b5facd477ae42ce7a0facfe823b06fd08415ec

Observation fdc252d5-435b-43eb-9134-5ba00a094fab · outbound

This paper cites One- and Two-Point Codes Over Kummer Extensions,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions One- and Two-Point Codes Over Kummer Extensions,

Reference 36

Resolution
unresolved
no resolver link, observed 2026-06-27T08:23:45.294590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:b9c3f026ae09f250fbce98847582a8cefe71623167056ae4db8f3c91ad37c224

Observation 194e6d60-e011-4958-b081-b4ac40dec52c · outbound

This paper cites Complete set of pure gaps in function fields,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Complete set of pure gaps in function fields,

Reference 37

Resolution
unresolved
no resolver link, observed 2026-06-27T08:23:45.294590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:a399f91e585df8c7ecf7a1a156851acce712de374d40c4b800d543ac4229fb2f

Observation a3e91faa-34e2-46ea-b657-b514d10b467b · outbound

This paper cites On generalized Weierstrass semigroups in arbitrary Kummer extensions ofF q(x),.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions On generalized Weierstrass semigroups in arbitrary Kummer extensions ofF q(x),

Reference 38

Resolution
unresolved
no resolver link, observed 2026-06-27T08:23:45.294590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:ae3ea2f57ae51942357cd2dec631422da448914d74dbb9304da639d3305c736f

Observation 29d3e71f-d78d-49bf-b029-08f2baea60f0 · outbound

This paper cites Stichtenoth,Algebraic Function Fields and Codes.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Stichtenoth,Algebraic Function Fields and Codes

Reference 39

Resolution
unresolved
no resolver link, observed 2026-06-27T08:23:45.294590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:1ecb00df5008c751be50e17705114899d3a2026e80d109cc1e690407475a5622

Observation b9c7f7f2-7298-42b4-b243-7abff4c3f78a · outbound

This paper cites Weierstrass semigroups at totally ramified places of degree one on Kummer extensions.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Weierstrass semigroups at totally ramified places of degree one on Kummer extensions

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-07-03T13:08:09.042291Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:54829212aebcf70abc4edc4fc1f535a3651030ffa8b318989dbed3eed4a0d2e4

Observation 4c59b6e4-621d-49ff-a9ec-e112e6dfa4a0 · outbound

This paper cites Multi-point codes over Kummer extensions,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions Multi-point codes over Kummer extensions,

Reference 41

Resolution
unresolved
no resolver link, observed 2026-06-27T08:23:45.294590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:04003651511352d30e94a0bd5706f6950cac2a93d4658c0b048dbe45dc0499b2

Observation 6ef79163-30ab-4ae3-8cc3-2e7a0d2c8ff5 · outbound

This paper cites A new family of maximal curves over a finite field,.

Non-special Divisors, LCPs of Codes, and LCD Codes on Kummer Extensions A new family of maximal curves over a finite field,

Reference 42

Resolution
unresolved
no resolver link, observed 2026-06-27T08:23:45.294590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T08:23:45.294590Z digest=sha256:6a5b49b2819525e91ec4149f5d80b371fa546aedb991aa29c04d7d986d5d25ed

Pith citing papers

No inbound Pith citation observations are available.