Information on Result #656462
Linear OA(12874, 290, F128, 64) (dual of [290, 216, 65]-code), using construction X applied to AG(F,222P) ⊂ AG(F,224P) based on
- linear OA(12873, 287, F128, 64) (dual of [287, 214, 65]-code), using algebraic-geometric code AG(F,222P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12871, 287, F128, 62) (dual of [287, 216, 63]-code), using algebraic-geometric code AG(F,224P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(32104, 290, S32, 64) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6487, 290, S64, 64) | [i] | ||
| 3 | Linear OOA(12874, 145, F128, 2, 64) (dual of [(145, 2), 216, 65]-NRT-code) | [i] | OOA Folding | |