Information on Result #656763
Linear OA(12857, 300, F128, 42) (dual of [300, 243, 43]-code), using construction X applied to AG(F,244P) ⊂ AG(F,251P) based on
- linear OA(12851, 287, F128, 42) (dual of [287, 236, 43]-code), using algebraic-geometric code AG(F,244P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12844, 287, F128, 35) (dual of [287, 243, 36]-code), using algebraic-geometric code AG(F,251P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1286, 13, F128, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,128)), using
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- Reed–Solomon code RS(122,128) [i]
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), 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(6467, 300, S64, 42) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(12857, 150, F128, 2, 42) (dual of [(150, 2), 243, 43]-NRT-code) | [i] | OOA Folding | |