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In coding theory, Justesen codes form a class of error-correcting codes that have a constant rate, constant relative distance, and a constant alphabet size.
An example of a Justesen code, Definition & Theorem
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code codes displaystyle distance justesen rate ensemble linear relative wozencraft constant delta -1 concatenation right length alphabet size varepsilon reed
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Justesen code | Alphabet size | 2 | 1.00 | infobox |
| Justesen code | Block length | n {\displaystyle n} | 1.00 | infobox |
| Justesen code | Distance | δ n {\displaystyle \delta n} where δ ≥ ( 1 − R − ϵ ) H 2 − 1 ( 1 2 − ϵ ) ∼ 0.11 ( 1 − R − ϵ ) {\displaystyle \delta \geq {\Big (}1-R-\epsilon {\Big )}H_{2}^{-1}{\big (}{\frac {1… | 1.00 | infobox |
| Justesen code | Message length | k {\displaystyle k} | 1.00 | infobox |
| Justesen code | Named after | Jørn Justesen | 1.00 | infobox |
| Justesen code | Notation | [ n , k / 2 , δ n ] 2 {\displaystyle \left[n,k/2,\delta n\right]_{2}} -code | 1.00 | infobox |
| Justesen code | Rate | = R 2 = k 2 n {\displaystyle {\frac {R}{2}}={\frac {k}{2n}}} | 1.00 | infobox |
| Justesen code | Type | Linear block code | 1.00 | infobox |
| Justesen code | is a | concatenation of an | 0.90 | text |
| Justesen code | is a | concatenated code C | 0.90 | text |
| Justesen code | is a | linear code containing all such c.The parameters of this code are length 2m N | 0.90 | text |
| in the construction of small-bias sample spaces.Justesen codes are derived as the code concatenation of a Reed | instance of | These codes have important applications in computer science | 0.80 | text |
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