Information on Result #656943
Linear OA(12878, 312, F128, 57) (dual of [312, 234, 58]-code), using construction X applied to AG(F,229P) ⊂ AG(F,242P) based on
- linear OA(12866, 287, F128, 57) (dual of [287, 221, 58]-code), using algebraic-geometric code AG(F,229P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12853, 287, F128, 44) (dual of [287, 234, 45]-code), using algebraic-geometric code AG(F,242P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(12812, 25, F128, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,128)), using
- discarding factors / shortening the dual code based on linear OA(12812, 128, F128, 12) (dual of [128, 116, 13]-code or 128-arc in PG(11,128)), using
- Reed–Solomon code RS(116,128) [i]
- discarding factors / shortening the dual code based on linear OA(12812, 128, F128, 12) (dual of [128, 116, 13]-code or 128-arc in PG(11,128)), 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(12878, 156, F128, 2, 57) (dual of [(156, 2), 234, 58]-NRT-code) | [i] | OOA Folding | |