Information on Result #656800
Linear OA(12860, 302, F128, 44) (dual of [302, 242, 45]-code), using construction X applied to AG(F,242P) ⊂ AG(F,250P) based on
- 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, using
- linear OA(12845, 287, F128, 36) (dual of [287, 242, 37]-code), using algebraic-geometric code AG(F,250P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1287, 15, F128, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), 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(6470, 302, S64, 44) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(12860, 151, F128, 2, 44) (dual of [(151, 2), 242, 45]-NRT-code) | [i] | OOA Folding | |