Information on Result #1469189
Linear OOA(736, 50, F7, 2, 20) (dual of [(50, 2), 64, 21]-NRT-code), using construction X applied to AG(2;F,73P) ⊂ AG(2;F,77P) based on
- linear OOA(733, 47, F7, 2, 20) (dual of [(47, 2), 61, 21]-NRT-code), using algebraic-geometric NRT-code AG(2;F,73P) [i] based on function field F/F7 with g(F) = 13 and N(F) ≥ 48, using
- linear OOA(729, 47, F7, 2, 16) (dual of [(47, 2), 65, 17]-NRT-code), using algebraic-geometric NRT-code AG(2;F,77P) [i] based on function field F/F7 with g(F) = 13 and N(F) ≥ 48 (see above)
- linear OOA(73, 3, F7, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(73, 7, F7, 2, 3) (dual of [(7, 2), 11, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;11,7) [i]
- discarding factors / shortening the dual code based on linear OOA(73, 7, F7, 2, 3) (dual of [(7, 2), 11, 4]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(736, 50, F7, 3, 20) (dual of [(50, 3), 114, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (16, 36, 50)-net over F7 | [i] | ||