Information on Result #1576357
Linear OOA(894, 132, F8, 3, 50) (dual of [(132, 3), 302, 51]-NRT-code), using construction X applied to AG(3;F,333P) ⊂ AG(3;F,340P) based on
- linear OOA(888, 128, F8, 3, 50) (dual of [(128, 3), 296, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,333P) [i] based on function field F/F8 with g(F) = 38 and N(F) ≥ 129, using
- linear OOA(881, 128, F8, 3, 43) (dual of [(128, 3), 303, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,340P) [i] based on function field F/F8 with g(F) = 38 and N(F) ≥ 129 (see above)
- linear OOA(86, 4, F8, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 3, 6) (dual of [(8, 3), 18, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;18,8) [i]
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 3, 6) (dual of [(8, 3), 18, 7]-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 | Digital (44, 94, 131)-net over F8 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |