Information on Result #1575887
Linear OOA(875, 100, F8, 3, 41) (dual of [(100, 3), 225, 42]-NRT-code), using construction X applied to AG(3;F,243P) ⊂ AG(3;F,251P) based on
- linear OOA(868, 95, F8, 3, 41) (dual of [(95, 3), 217, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,243P) [i] based on function field F/F8 with g(F) = 27 and N(F) ≥ 96, using
- linear OOA(860, 95, F8, 3, 33) (dual of [(95, 3), 225, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,251P) [i] based on function field F/F8 with g(F) = 27 and N(F) ≥ 96 (see above)
- linear OOA(87, 5, F8, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;17,8) [i]
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-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 (34, 75, 99)-net over F8 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |