Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T16:42:27.950292Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2412.09923.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T16:42:27.950292Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-23T07:42:02.626085Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-23T07:42:43.340270Z
35 of 35 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 7c3d6df1-18e8-4fe1-9583-95ef5c900085 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Siap, I.: On Z2Z2[u]-additive codes, Int
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7578c1f6-c2d1-4a15-b85a-4083fe433a87 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Siap, I.: The structure of Z2Z2s-additive codes: Bounds on the minimum distance, Appl
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5da0aa32-3c3f-4c76-a4ba-885da8e685c9 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Siap, I.: On Zpr Zps -additive codes, Linear Multilinear Algebra 63(10), pp
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cca7e19b-f989-4d70-9ec5-ae2de36074bc · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Samei, K.: On codes over product of fin ite chain rings, Sigma J
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation da80dd96-8c70-4ddd-8704-b128fc7291d7 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets F., Kabore, J
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ee7521f8-1371-4825-8caf-d8c87e63fe9d · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d8215603-6cb7-40ce-b9a5-4406cf2708aa · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Edel, Y.: Quantum twisted codes, J
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 63aa955c-2545-4772-9ac5-5067d6badd3f · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and V illanueva, M.: Z2Z4-linear codes: Generator matrices and duality, Des
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 360026a1-0e8f-4105-9ffa-d0bcd12e7b0a · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Ten-Valls, R.: Linear and cyclic codes over direct product of finite chain rings, Math
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1b9adb28-b87a-4c92-9d9e-860f2ca6b7f7 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets R., Rains, E
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1ac03190-fdaf-4175-b28b-39a9f6cd74b4 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 64ff984a-e71d-44f2-a9d1-5510b63abd5c · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0f76d5b6-76ad-43c1-91be-118a932f8de3 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets T., Kim, J
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2e8c55f1-ad26-4967-8735-6984b66f5f53 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets T., Kim, J
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation aa457548-2405-4892-b7ef-0e8eb4aae2dd · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets T., Korban, A
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 09bc4a4a-7c82-4e58-ab6a-4b4acf06e178 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets T., S ¸ahinkaya, S
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6b878b44-a659-4ad8-adcd-988772795ebb · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and O’Sullivan, M
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 42f2eda0-bec8-4aec-bae2-f40713ff4fdc · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Schmidt, S
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b5cce8d1-d8be-4477-beb2-864752c1d67b · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets R., Kumar, P
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4d4cc6de-f44c-4a15-8fb1-b026bd628d27 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets C.: Additive cyclic codes over F4, Adv
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 44057ab3-ec75-4e5d-99c6-26e337bdcfbb · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets C.: Cyclic Fq-linear Fqt -codes, Int
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation dd725cab-5676-4b94-93a9-f03961247af5 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets C.: On the theory of Fq-linear Fqt -codes, Adv
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0b59cf53-8bf3-494e-99de-7cbb576ded4f · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f41ff845-2231-4dd1-925b-9e126516c54b · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Sharma, A.: Enumeration formulae for self-ortho gonal, self-dual and complementary-dual additive cyclic codes over finite commutative chain rings, Cryptogr
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7939c307-ce95-4cdd-ba94-66b9b91b2799 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Sharma, A.: On Euclidean and Hermitian LCD codes ov er mixed alphabets, Under review
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b1caa896-2642-498a-bbb8-ec64e70cb1ad · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Samei, K.: Additive codes over Galois rings, Finite Fields Appl
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 805c45cd-626c-473b-8257-dcba5826decb · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and ¨Ozbudak, F.: Additive cyclic codes over finite commutative chain rings , Discrete Math
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 948ee36b-4e9c-491f-a48d-cbe5bf837d39 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets R.: Finite rings with identity , Marcel Dekker, New York (1974)
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 07a0914a-1c41-4da9-9b4d-c440448b7a50 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets H., and S˘ al˘ agean, A.: On the structure of linear an d cyclic codes over a finite chain ring, Appl
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d8a657a7-411e-4a79-8628-25975eb8f0d2 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8342c3db-2eb7-4729-98d9-ece0c3e83379 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Pujol, J.: Translation-invariant propelinear codes , IEEE Trans
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2feec286-323d-4f65-b5a3-854d7aa6d25c · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets X.: Lectures on finite fields and Galois rings , World Scientific Publishing, New Jersey (2012)
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 551b9c8a-9b39-44c3-bf41-ddde9e709fb9 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets A.: Foundations of linear codes defined over finite modu les: the extension theorem and the MacWilliams identities in Codes over rings, World Scientific , pp
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b55b07b9-70ed-4038-9d84-82e3a3a4ecdd · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Sharma, A.: Mass formulae for Euclidean self-ort hogonal and self-dual codes over finite commutative chain rings, Discrete Math
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e85b7e83-9d73-4acb-8836-f9284010aed0 · outbound
On Eisenstein additive codes over chain rings and linear codes over mixed alphabets and Sharma, A.: On the enumeration and classification of σ-LCD codes over finite commutative chain rings, Discrete Math
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f0ff89a4-8969-4edc-a00d-efce158137a6 · inbound
Additive codes attaining the Griesmer bound On Eisenstein additive codes over chain rings and linear codes over mixed alphabets
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.