Information on Result #656703
Linear OA(12875, 298, F128, 61) (dual of [298, 223, 62]-code), using construction X applied to AG(F,225P) ⊂ AG(F,231P) based on
- linear OA(12870, 287, F128, 61) (dual of [287, 217, 62]-code), using algebraic-geometric code AG(F,225P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12864, 287, F128, 55) (dual of [287, 223, 56]-code), using algebraic-geometric code AG(F,231P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1285, 11, F128, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,128)), using
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- Reed–Solomon code RS(123,128) [i]
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), 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(32105, 298, S32, 61) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6488, 298, S64, 61) | [i] | ||
| 3 | Linear OOA(12875, 149, F128, 2, 61) (dual of [(149, 2), 223, 62]-NRT-code) | [i] | OOA Folding | |