Information on Result #656496
Linear OA(12857, 290, F128, 47) (dual of [290, 233, 48]-code), using construction X applied to AG(F,239P) ⊂ AG(F,241P) based on
- linear OA(12856, 287, F128, 47) (dual of [287, 231, 48]-code), using algebraic-geometric code AG(F,239P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12854, 287, F128, 45) (dual of [287, 233, 46]-code), using algebraic-geometric code AG(F,241P) [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(3280, 290, S32, 47) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6467, 290, S64, 47) | [i] | ||
| 3 | Linear OOA(12857, 145, F128, 2, 47) (dual of [(145, 2), 233, 48]-NRT-code) | [i] | OOA Folding | |