Algebraic Coding Theory
E165812
Algebraic Coding Theory is a foundational mathematical text that systematically develops the theory and applications of error-correcting codes using algebraic methods.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Algebraic Codes for Data Transmission | 2 |
| Algebraic Coding Theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1451899 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Algebraic Coding Theory Context triple: [Elwyn R. Berlekamp, notableWork, Algebraic Coding Theory]
-
A.
Communication Theory of Secrecy Systems
Communication Theory of Secrecy Systems is Claude Shannon’s foundational paper that established the mathematical basis of modern cryptography and information-theoretic security.
-
B.
Scott encoding
Scott encoding is a method in lambda calculus for representing algebraic data types and their pattern matching behavior using higher-order functions.
-
C.
Elliptic Curve Cryptography
Elliptic Curve Cryptography is a public-key cryptographic approach that uses the mathematics of elliptic curves over finite fields to provide strong security with relatively small key sizes.
-
D.
Kailath factorization in linear systems
Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
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E.
An Introduction to Information Theory: Symbols, Signals and Noise
An Introduction to Information Theory: Symbols, Signals and Noise is a classic, accessible textbook that explains the fundamental concepts of information theory, communication, and coding for a broad scientific and engineering audience.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Algebraic Coding Theory Target entity description: Algebraic Coding Theory is a foundational mathematical text that systematically develops the theory and applications of error-correcting codes using algebraic methods.
-
A.
Communication Theory of Secrecy Systems
Communication Theory of Secrecy Systems is Claude Shannon’s foundational paper that established the mathematical basis of modern cryptography and information-theoretic security.
-
B.
Scott encoding
Scott encoding is a method in lambda calculus for representing algebraic data types and their pattern matching behavior using higher-order functions.
-
C.
Elliptic Curve Cryptography
Elliptic Curve Cryptography is a public-key cryptographic approach that uses the mathematics of elliptic curves over finite fields to provide strong security with relatively small key sizes.
-
D.
Kailath factorization in linear systems
Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
-
E.
An Introduction to Information Theory: Symbols, Signals and Noise
An Introduction to Information Theory: Symbols, Signals and Noise is a classic, accessible textbook that explains the fundamental concepts of information theory, communication, and coding for a broad scientific and engineering audience.
- F. None of above. chosen
Statements (33)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
textbook ⓘ |
| aimsTo |
connect algebra with coding applications
ⓘ
systematically develop theory of error-correcting codes ⓘ |
| appliesTo |
data storage
ⓘ
digital communication ⓘ error correction ⓘ error detection ⓘ |
| covers |
BCH codes
ⓘ
Reed–Solomon codes ⓘ bounds on code parameters ⓘ cyclic codes ⓘ finite fields ⓘ generator matrices ⓘ linear codes ⓘ minimum distance of codes ⓘ parity-check matrices ⓘ polynomial codes ⓘ syndrome decoding ⓘ weight distribution of codes ⓘ |
| field |
algebra
ⓘ
coding theory ⓘ |
| focusesOn |
analysis of error-correcting codes
ⓘ
applications of error-correcting codes ⓘ construction of error-correcting codes ⓘ |
| topic |
algebraic coding theory
ⓘ
error-correcting codes ⓘ |
| usedBy |
computer scientists
ⓘ
electrical engineers ⓘ mathematicians ⓘ |
| usedIn |
advanced undergraduate courses
ⓘ
graduate courses ⓘ |
| usesMethod | algebraic methods ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Algebraic Coding Theory Description of subject: Algebraic Coding Theory is a foundational mathematical text that systematically develops the theory and applications of error-correcting codes using algebraic methods.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Algebraic Coding Theory
linked to: Algebraic Coding Theory