linear block code
C34799
concept
A linear block code is an error-correcting code that encodes fixed-length blocks of data into longer blocks using linear algebra over a finite field, enabling detection and correction of transmission errors.
All labels observed (9)
| Label | Occurrences |
|---|---|
| linear block code canonical | 2 |
| linear code | 2 |
| binary code | 1 |
| binary linear code | 1 |
| doubly-even code | 1 |
| family of linear codes | 1 |
| linear error-correcting code | 1 |
| random code ensemble | 1 |
| self-dual code | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: linear block code
Generated description
A linear block code is an error-correcting code that encodes fixed-length blocks of data into longer blocks using linear algebra over a finite field, enabling detection and correction of transmission errors.
Instances (6)
| Instance | Via concept surface |
|---|---|
| LDPC | — |
| Hamming code | — |
|
Wozencraft ensemble
linked to:
Wozencraft ensemble in coding theory
|
family of linear codes |
| Reed–Solomon codes | linear code |
| extended binary Golay code | linear error-correcting code |
| Golay code | linear code |