Information on Result #656839
Linear OA(12858, 304, F128, 41) (dual of [304, 246, 42]-code), using construction X applied to AG(F,245P) ⊂ AG(F,254P) based on
- linear OA(12850, 287, F128, 41) (dual of [287, 237, 42]-code), using algebraic-geometric code AG(F,245P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12841, 287, F128, 32) (dual of [287, 246, 33]-code), using algebraic-geometric code AG(F,254P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1288, 17, F128, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,128)), using
- discarding factors / shortening the dual code based on linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), using
- Reed–Solomon code RS(120,128) [i]
- discarding factors / shortening the dual code based on linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), 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(6468, 304, S64, 41) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(12858, 152, F128, 2, 41) (dual of [(152, 2), 246, 42]-NRT-code) | [i] | OOA Folding | |