Information on Result #1832923
OOA(16109, 125, S16, 2, 70), using discarding parts of the base based on linear OOA(3287, 125, F32, 2, 70) (dual of [(125, 2), 163, 71]-NRT-code), using
- construction X applied to AG(2;F,167P) ⊂ AG(2;F,174P) [i] based on
- linear OOA(3281, 119, F32, 2, 70) (dual of [(119, 2), 157, 71]-NRT-code), using algebraic-geometric NRT-code AG(2;F,167P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OOA(3274, 119, F32, 2, 63) (dual of [(119, 2), 164, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,174P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OOA(326, 6, F32, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(326, 32, F32, 2, 6) (dual of [(32, 2), 58, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;58,32) [i]
- discarding factors / shortening the dual code based on linear OOA(326, 32, F32, 2, 6) (dual of [(32, 2), 58, 7]-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(4218, 250, S4, 2, 70) | [i] | Trace Code for OOAs | |