Information on Result #1577501
Linear OOA(9121, 186, F9, 3, 64) (dual of [(186, 3), 437, 65]-NRT-code), using construction X applied to AG(3;F,478P) ⊂ AG(3;F,486P) based on
- linear OOA(9114, 181, F9, 3, 64) (dual of [(181, 3), 429, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,478P) [i] based on function field F/F9 with g(F) = 50 and N(F) ≥ 182, using
- linear OOA(9106, 181, F9, 3, 56) (dual of [(181, 3), 437, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,486P) [i] based on function field F/F9 with g(F) = 50 and N(F) ≥ 182 (see above)
- linear OOA(97, 5, F9, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(97, 9, F9, 3, 7) (dual of [(9, 3), 20, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;20,9) [i]
- discarding factors / shortening the dual code based on linear OOA(97, 9, F9, 3, 7) (dual of [(9, 3), 20, 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 (57, 121, 184)-net over F9 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |