Information on Result #1577437
Linear OOA(9113, 184, F9, 3, 59) (dual of [(184, 3), 439, 60]-NRT-code), using construction X applied to AG(3;F,483P) ⊂ AG(3;F,488P) based on
- linear OOA(9109, 181, F9, 3, 59) (dual of [(181, 3), 434, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,483P) [i] based on function field F/F9 with g(F) = 50 and N(F) ≥ 182, using
- linear OOA(9104, 181, F9, 3, 54) (dual of [(181, 3), 439, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,488P) [i] based on function field F/F9 with g(F) = 50 and N(F) ≥ 182 (see above)
- linear OOA(94, 3, F9, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(94, 9, F9, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;23,9) [i]
- discarding factors / shortening the dual code based on linear OOA(94, 9, F9, 3, 4) (dual of [(9, 3), 23, 5]-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 (54, 113, 184)-net over F9 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |