Information on Result #658261
Linear OA(25615, 262, F256, 13) (dual of [262, 247, 14]-code), using construction X applied to AG(F,81P) ⊂ AG(F,82P) based on
- linear OA(25613, 257, F256, 13) (dual of [257, 244, 14]-code or 257-arc in PG(12,256)), using algebraic-geometric code AG(F, Q+120P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- linear OA(25610, 257, F256, 10) (dual of [257, 247, 11]-code or 257-arc in PG(9,256)), using algebraic-geometric code AG(F,123P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2562, 5, F256, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), 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 | Linear OA(1630, 524, F16, 13) (dual of [524, 494, 14]-code) | [i] | Trace Code | |
| 2 | OA(6420, 262, S64, 13) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(25644, 524, F256, 27) (dual of [524, 480, 28]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(25668, 65799, F256, 27) (dual of [65799, 65731, 28]-code) | [i] | ||
| 5 | Linear OA(25666, 65798, F256, 26) (dual of [65798, 65732, 27]-code) | [i] | ||
| 6 | Linear OA(25668, 65800, F256, 27) (dual of [65800, 65732, 28]-code) | [i] | ||
| 7 | Linear OA(25666, 65800, F256, 26) (dual of [65800, 65734, 27]-code) | [i] | ||
| 8 | Linear OA(25667, 65803, F256, 26) (dual of [65803, 65736, 27]-code) | [i] | ||
| 9 | Linear OA(25668, 65806, F256, 26) (dual of [65806, 65738, 27]-code) | [i] | ||