Information on Result #656976
Linear OA(12870, 314, F128, 48) (dual of [314, 244, 49]-code), using construction X applied to AG(F,238P) ⊂ AG(F,252P) based on
- linear OA(12857, 287, F128, 48) (dual of [287, 230, 49]-code), using algebraic-geometric code AG(F,238P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12843, 287, F128, 34) (dual of [287, 244, 35]-code), using algebraic-geometric code AG(F,252P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(12813, 27, F128, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,128)), using
- discarding factors / shortening the dual code based on linear OA(12813, 128, F128, 13) (dual of [128, 115, 14]-code or 128-arc in PG(12,128)), using
- Reed–Solomon code RS(115,128) [i]
- discarding factors / shortening the dual code based on linear OA(12813, 128, F128, 13) (dual of [128, 115, 14]-code or 128-arc in PG(12,128)), 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 | Linear OOA(12870, 157, F128, 2, 48) (dual of [(157, 2), 244, 49]-NRT-code) | [i] | OOA Folding | |