Information on Result #656673
Linear OA(12860, 296, F128, 47) (dual of [296, 236, 48]-code), using construction X applied to AG(F,239P) ⊂ AG(F,244P) based on
- linear OA(12856, 287, F128, 47) (dual of [287, 231, 48]-code), using algebraic-geometric code AG(F,239P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12851, 287, F128, 42) (dual of [287, 236, 43]-code), using algebraic-geometric code AG(F,244P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1284, 9, F128, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,128)), using
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- Reed–Solomon code RS(124,128) [i]
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
Mode: Constructive and 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 | OA(3284, 296, S32, 47) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6470, 296, S64, 47) | [i] | ||
| 3 | Linear OOA(12860, 148, F128, 2, 47) (dual of [(148, 2), 236, 48]-NRT-code) | [i] | OOA Folding | |