Wozencraft ensemble in coding theory
E608753
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.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Wozencraft ensemble | 0 |
Statements (25)
| Predicate | Object |
|---|---|
| instanceOf |
family of linear codes
ⓘ
random code ensemble ⓘ |
| analyzedUsing |
probabilistic methods
ⓘ
typicality arguments ⓘ |
| appliesTo |
discrete memoryless channels
ⓘ
noisy communication channels ⓘ |
| constructionType | probabilistic construction ⓘ |
| definedOver | finite fields ⓘ |
| field | coding theory ⓘ |
| hasProperty |
linear
ⓘ
randomly constructed ⓘ |
| hasRole |
benchmark for code performance
ⓘ
tool in information theory ⓘ |
| influenced | later random coding ensembles ⓘ |
| introducedBy | John Wozencraft NERFINISHED ⓘ |
| namedAfter | John Wozencraft NERFINISHED ⓘ |
| relatedTo |
Shannon capacity
ⓘ
channel coding theorem ⓘ random coding arguments ⓘ |
| studiedIn |
error-correcting codes
ⓘ
information theory ⓘ |
| supports | capacity-achieving coding schemes ⓘ |
| usedFor |
achieving capacity on noisy channels
ⓘ
analyzing performance limits of coding schemes ⓘ studying channel capacity ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.