Information on Result #1833720
OOA(4220, 244, S4, 2, 74), using trace code based on OOA(16110, 122, S16, 2, 74), using
- discarding parts of the base [i] based on linear OOA(3288, 122, F32, 2, 74) (dual of [(122, 2), 156, 75]-NRT-code), using
- construction X applied to AG(2;F,163P) ⊂ AG(2;F,167P) [i] based on
- linear OOA(3285, 119, F32, 2, 74) (dual of [(119, 2), 153, 75]-NRT-code), using algebraic-geometric NRT-code AG(2;F,163P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- 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 (see above)
- linear OOA(323, 3, F32, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(323, 32, F32, 2, 3) (dual of [(32, 2), 61, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;61,32) [i]
- discarding factors / shortening the dual code based on linear OOA(323, 32, F32, 2, 3) (dual of [(32, 2), 61, 4]-NRT-code), using
- construction X applied to AG(2;F,163P) ⊂ AG(2;F,167P) [i] based on
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(4222, 245, S4, 2, 74) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(4224, 246, S4, 2, 74) | [i] | ||
| 3 | OOA(4221, 244, S4, 2, 74) | [i] | OOA Duplication | |