Information on Result #1833727
OOA(4230, 244, S4, 2, 78), using trace code based on OOA(16115, 122, S16, 2, 78), using
- discarding parts of the base [i] based on linear OOA(3292, 122, F32, 2, 78) (dual of [(122, 2), 152, 79]-NRT-code), using
- construction X applied to AG(2;F,159P) ⊂ AG(2;F,163P) [i] based on
- linear OOA(3289, 119, F32, 2, 78) (dual of [(119, 2), 149, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,159P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- 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 (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,159P) ⊂ AG(2;F,163P) [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(4232, 245, S4, 2, 78) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(4234, 246, S4, 2, 78) | [i] | ||
| 3 | OOA(4231, 244, S4, 2, 78) | [i] | OOA Duplication | |