Triple

T7115688
Position Surface form Disambiguated ID Type / Status
Subject Algebraic Coding Theory E165812 entity
Predicate covers P1393 FINISHED
Object Reed–Solomon codes
Reed–Solomon codes are a class of powerful error-correcting codes based on polynomial evaluation over finite fields, widely used in digital communications and data storage to detect and correct multiple symbol errors.
 E641825 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Reed–Solomon codes | Statement: [Algebraic Coding Theory, covers, Reed–Solomon codes]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Reed–Solomon codes
Context triple: [Algebraic Coding Theory, covers, Reed–Solomon codes]
  • A. Algebraic Coding Theory
    Algebraic Coding Theory is a foundational mathematical text that systematically develops the theory and applications of error-correcting codes using algebraic methods.
  • B. Error detecting and error correcting codes
    "Error detecting and error correcting codes" is a seminal 1950 paper by Richard W. Hamming that founded the modern theory of error-correcting codes in digital communication and data storage.
  • C. Wozencraft ensemble in coding theory
    The Wozencraft ensemble in coding theory is a family of randomly constructed linear codes introduced by John Wozencraft that plays a key role in analyzing the performance limits of coding schemes, particularly for achieving capacity on noisy channels.
  • D. Hamming code
    Hamming code is a family of error-detecting and error-correcting binary codes that enable the automatic detection and correction of single-bit errors in transmitted or stored data.
  • E. LDPC
    LDPC (Low-Density Parity-Check) is a powerful class of linear error-correcting codes known for near-Shannon-limit performance and widespread use in modern high-throughput communication systems.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Reed–Solomon codes
Triple: [Algebraic Coding Theory, covers, Reed–Solomon codes]
Generated description
Reed–Solomon codes are a class of powerful error-correcting codes based on polynomial evaluation over finite fields, widely used in digital communications and data storage to detect and correct multiple symbol errors.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Reed–Solomon codes
Target entity description: Reed–Solomon codes are a class of powerful error-correcting codes based on polynomial evaluation over finite fields, widely used in digital communications and data storage to detect and correct multiple symbol errors.
  • A. Algebraic Coding Theory
    Algebraic Coding Theory is a foundational mathematical text that systematically develops the theory and applications of error-correcting codes using algebraic methods.
  • B. Error detecting and error correcting codes
    "Error detecting and error correcting codes" is a seminal 1950 paper by Richard W. Hamming that founded the modern theory of error-correcting codes in digital communication and data storage.
  • C. Wozencraft ensemble in coding theory
    The Wozencraft ensemble in coding theory is a family of randomly constructed linear codes introduced by John Wozencraft that plays a key role in analyzing the performance limits of coding schemes, particularly for achieving capacity on noisy channels.
  • D. Hamming code
    Hamming code is a family of error-detecting and error-correcting binary codes that enable the automatic detection and correction of single-bit errors in transmitted or stored data.
  • E. LDPC
    LDPC (Low-Density Parity-Check) is a powerful class of linear error-correcting codes known for near-Shannon-limit performance and widespread use in modern high-throughput communication systems.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69c6888227bc8190a1394679e3116f90 completed March 27, 2026, 1:39 p.m.
NER Named-entity recognition batch_69c6e5f401b881909ef4c2ab1e0750db completed March 27, 2026, 8:17 p.m.
NED1 Entity disambiguation (via context triple) batch_69c79cbfc7a08190ab07f3d65aa79f16 completed March 28, 2026, 9:17 a.m.
NEDg Description generation batch_69c79d0215888190b0e59c2584358a05 completed March 28, 2026, 9:18 a.m.
NED2 Entity disambiguation (via description) batch_69c79d63b6dc8190b3b52ef6566ba490 completed March 28, 2026, 9:20 a.m.
Created at: March 27, 2026, 2:43 p.m.