Information on Result #658263
Linear OA(25612, 262, F256, 10) (dual of [262, 250, 11]-code), using construction X applied to AG(F,82P) ⊂ AG(F,83P) based on
- 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, using the rational function field F256(x) [i]
- linear OA(2567, 257, F256, 7) (dual of [257, 250, 8]-code or 257-arc in PG(6,256)), using algebraic-geometric code AG(F, Q+123P) with degQ = 3 and 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(1624, 524, F16, 10) (dual of [524, 500, 11]-code) | [i] | Trace Code | |
| 2 | OA(6416, 262, S64, 10) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(12814, 262, S128, 10) | [i] | ||
| 4 | Linear OA(25653, 65799, F256, 21) (dual of [65799, 65746, 22]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(25651, 65798, F256, 20) (dual of [65798, 65747, 21]-code) | [i] | ||
| 6 | Linear OA(25653, 65800, F256, 21) (dual of [65800, 65747, 22]-code) | [i] | ||
| 7 | Linear OA(25654, 65804, F256, 21) (dual of [65804, 65750, 22]-code) | [i] | ||
| 8 | Linear OA(25651, 65800, F256, 20) (dual of [65800, 65749, 21]-code) | [i] | ||
| 9 | Linear OA(25652, 65803, F256, 20) (dual of [65803, 65751, 21]-code) | [i] | ||
| 10 | Linear OA(25653, 65806, F256, 20) (dual of [65806, 65753, 21]-code) | [i] | ||