Information on Result #656546
Linear OA(12832, 290, F128, 22) (dual of [290, 258, 23]-code), using construction X applied to AG(F,264P) ⊂ AG(F,266P) based on
- linear OA(12831, 287, F128, 22) (dual of [287, 256, 23]-code), using algebraic-geometric code AG(F,264P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12829, 287, F128, 20) (dual of [287, 258, 21]-code), using algebraic-geometric code AG(F,266P) [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(6438, 290, S64, 22) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(12832, 145, F128, 2, 22) (dual of [(145, 2), 258, 23]-NRT-code) | [i] | OOA Folding | |