Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T17:50:44.752156Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2507.10068.
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 2026-08-06T17:50:44.752156Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
30 of 30 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation fafc8cc7-51b7-45ba-9e54-ec92369f2157 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Application of Boolean algebra to switching circuit design and to error detection,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 75e5671b-3323-4997-99a1-46dad2ba7b49 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel A class of multiple-error-correcting codes and the decoding scheme,
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 000360e5-5f7b-44b6-ac0c-af9940b705db · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Reed–Muller codes: Theory and algorithms,
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a93e296f-e25f-48f0-bf66-d56f233f068e · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Channel polarization: A method for constructing capacity- achieving codes for symmetric binary-input memoryless channels,
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0f069c23-f8dc-43f7-9c04-0c385420eda4 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel A proof that Reed-Muller codes achieve Shannon capacity on symmetric channels,
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 83e32812-7216-4948-8c61-537f50f4eb5c · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Reed–Muller Codes on BMS Channels Achieve Vanishing Bit-Error Probability for all Rates Below Capacity,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 710d7e0f-3878-4f78-ace0-934985c93361 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel From Polar to Reed- Muller Codes: A Technique to Improve the Finite-Length Performance,
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d49921a8-a3e8-416c-8783-887a213848aa · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Polar codes: Characterization of exponent, bounds, and constructions,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7df60277-2c2c-4687-a62a-581b44e587ce · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Berman codes: A generalization of Reed–Muller codes that achieve BEC capacity,
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bd12d7e3-f998-4754-b999-7b5d961fd459 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Semisimple cyclic and Abelian codes. II,
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f2e8cce4-845e-47b7-8758-62a0a926a713 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel On a family of abelian codes and their state complexities,
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0ee27266-678d-4a28-bf9d-6f6dc2ebcbcb · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Successive Cancellation Ordered Search Decoding of Modified GN-Coset Codes,
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation de562067-97af-4622-a71b-51ac91014525 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel A RM-Polar Codes
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 15aa886c-7386-4176-aae8-32fd153d084d · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Transform domain characterization of abelian codes,
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f5fd2b33-fad2-4b6a-88bd-4c51d16ddeb5 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Reed–Muller codes achieve capacity on erasure channels,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c178dcf0-1ec9-4bee-a2b2-16dde96fd7af · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Polar codes for channel and source coding,
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 25f82278-027e-4216-acfd-b36e44e06566 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Complexity-adaptive maximum-likelihood decoding algorithms with a successive cancellation schedule,
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e3a3b08c-c45f-4471-b339-b04fe9067c66 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel List decoding of polar codes,
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dc6be65c-dd13-4d17-a990-0b963c5d2a18 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel From sequential decoding to channel polarization and back again
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b2d9779a-123b-4fde-84d5-8d7354aa0802 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Polar subcodes,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bb8c0c78-432f-42d7-8121-ba0e88c0f8b0 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel List Decoding of Arıkan’s PAC Codes,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ded4e9cb-59bc-4e09-8240-901f50cdaf53 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Polarization-adjusted convolu- tional (PAC) codes: Sequential decoding vs list decoding,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 98004fca-b98a-4e1e-8c9a-7d87a3b6552d · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel On Pre-transformed Polar Codes
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0a580014-5fd2-4d06-bd20-6029a138a767 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel On the weight spectrum of pre-transformed polar codes,
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 34988874-543f-4dcf-9153-460949ea01b5 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel On the Minimum Weight Codewords of PAC Codes: The Impact of Pre-Transformation,
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 14037b3e-74a1-4e11-a4e2-8b2988da701d · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Channel coding rate in the finite blocklength regime,
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c4588b17-69be-4ae1-975f-72b8a4fb5372 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Coding in the Finite-Blocklength Regime: Bounds Based on Laplace Integrals and Their Asymptotic Approximations,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6473c0c2-0db1-4f47-9c08-0fd24b472e7b · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel SPECTRE: Short-Packet Communication Toolbox,
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2d5c7de5-7a47-413a-92c7-802814854610 · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel Recursive projection-aggregation decoding of Reed- Muller codes,
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a7212b00-c7b6-47f6-8b8f-8336a124131e · outbound
BiD Codes: Algebraic Codes from $3 \times 3$ Kernel r1 ≤ mX i=1 Zi ≤ r2 # = P
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
No inbound Pith citation observations are available.