Information on Result #1832917
OOA(16105, 124, S16, 2, 68), using discarding parts of the base based on linear OOA(3284, 124, F32, 2, 68) (dual of [(124, 2), 164, 69]-NRT-code), using
- construction X applied to AG(2;F,169P) ⊂ AG(2;F,175P) [i] based on
- linear OOA(3279, 119, F32, 2, 68) (dual of [(119, 2), 159, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,169P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OOA(3273, 119, F32, 2, 62) (dual of [(119, 2), 165, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,175P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OOA(325, 5, F32, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(325, 32, F32, 2, 5) (dual of [(32, 2), 59, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;59,32) [i]
- discarding factors / shortening the dual code based on linear OOA(325, 32, F32, 2, 5) (dual of [(32, 2), 59, 6]-NRT-code), using
Mode: Constructive.
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 | OOA(16107, 125, S16, 2, 68) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(16106, 124, S16, 2, 68) | [i] | OOA Duplication | |
| 3 | OOA(4210, 248, S4, 2, 68) | [i] | Trace Code for OOAs | |