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In coding theory, expander codes form a class of error-correcting codes that are constructed from bipartite expander graphs. Along with Justesen codes, expander codes are of particular interest since they have a constant positive rate, a constant positive relative distance, and a constant alphabet size. In fact, the alphabet contains only two elements…
Art, Expander codes & Distance
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displaystyle code varepsilon expander gamma word vertex distance time codes 1- vertices since 1-2 lemma rate number tfrac least block
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Expander code | Alphabet size | 2 {\displaystyle 2} | 1.00 | infobox |
| Expander code | Block length | n {\displaystyle n} | 1.00 | infobox |
| Expander code | Distance | 2 ( 1 − ϵ ) γ ⋅ n {\displaystyle 2(1-\epsilon )\gamma \cdot n} | 1.00 | infobox |
| Expander code | Message length | n − m {\displaystyle n-m} | 1.00 | infobox |
| Expander code | Notation | [ n , n − m , 2 ( 1 − ϵ ) γ ⋅ n ] 2 {\displaystyle [n,n-m,2(1-\epsilon )\gamma \cdot n]_{2}} -code | 1.00 | infobox |
| Expander code | Rate | 1 − m / n {\displaystyle 1-m/n} | 1.00 | infobox |
| Expander code | Type | Linear block code | 1.00 | infobox |
| Expander code | related to Decoding | Decoding | 0.60 | section |
| Expander code | related to Decoding | Let | 0.60 | section |
| Expander code | related to Decoding | Then | 0.60 | section |
| Expander code | related to Distance | Suppose | 0.60 | section |
| Expander code | related to Distance | Then | 0.60 | section |
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