Information on Result #1289100
Linear OA(997, 134, F9, 61) (dual of [134, 37, 62]-code), using construction X applied to AG(F,65P) ⊂ AG(F,69P) based on
- linear OA(994, 127, F9, 61) (dual of [127, 33, 62]-code), using algebraic-geometric code AG(F,65P) [i] based on function field F/F9 with g(F) = 33 and N(F) ≥ 128, using
- linear OA(990, 127, F9, 57) (dual of [127, 37, 58]-code), using algebraic-geometric code AG(F,69P) [i] based on function field F/F9 with g(F) = 33 and N(F) ≥ 128 (see above)
- linear OA(93, 7, F9, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,9) or 7-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
- Reed–Solomon code RS(6,9) [i]
- discarding factors / shortening the dual code based on linear OA(93, 9, F9, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
Mode: 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 OA(998, 137, F9, 61) (dual of [137, 39, 62]-code) | [i] | Varšamov–Edel Lengthening | |