Information on Result #656567
Linear OA(12869, 292, F128, 58) (dual of [292, 223, 59]-code), using construction X applied to AG(F,228P) ⊂ AG(F,231P) based on
- linear OA(12867, 287, F128, 58) (dual of [287, 220, 59]-code), using algebraic-geometric code AG(F,228P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12864, 287, F128, 55) (dual of [287, 223, 56]-code), using algebraic-geometric code AG(F,231P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1282, 5, F128, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), 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(3297, 292, S32, 58) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6481, 292, S64, 58) | [i] | ||
| 3 | Linear OOA(12869, 146, F128, 2, 58) (dual of [(146, 2), 223, 59]-NRT-code) | [i] | OOA Folding | |