Information on Result #657763
Linear OA(25611, 260, F256, 10) (dual of [260, 249, 11]-code), using construction X applied to AG(F,123P) ⊂ AG(F,124P) 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(2568, 257, F256, 8) (dual of [257, 249, 9]-code or 257-arc in PG(7,256)), using algebraic-geometric code AG(F,124P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 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 | Linear OA(1622, 520, F16, 10) (dual of [520, 498, 11]-code) | [i] | Trace Code | |
| 2 | OA(3218, 260, S32, 10) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6415, 260, S64, 10) | [i] | ||
| 4 | OA(12813, 260, S128, 10) | [i] | ||
| 5 | Linear OA(25633, 520, F256, 21) (dual of [520, 487, 22]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25634, 522, F256, 21) (dual of [522, 488, 22]-code) | [i] | ||
| 7 | Linear OA(25652, 65797, F256, 21) (dual of [65797, 65745, 22]-code) | [i] | ||
| 8 | Linear OA(25632, 520, F256, 20) (dual of [520, 488, 21]-code) | [i] | ||
| 9 | Linear OA(25650, 65796, F256, 20) (dual of [65796, 65746, 21]-code) | [i] | ||
| 10 | Linear OA(25652, 65798, F256, 21) (dual of [65798, 65746, 22]-code) | [i] | ||
| 11 | Linear OA(25653, 65802, F256, 21) (dual of [65802, 65749, 22]-code) | [i] | ||
| 12 | Linear OA(25655, 65808, F256, 21) (dual of [65808, 65753, 22]-code) | [i] | ||
| 13 | Linear OA(25650, 65798, F256, 20) (dual of [65798, 65748, 21]-code) | [i] | ||
| 14 | Linear OA(25651, 65801, F256, 20) (dual of [65801, 65750, 21]-code) | [i] | ||
| 15 | Linear OA(25652, 65804, F256, 20) (dual of [65804, 65752, 21]-code) | [i] | ||
| 16 | Linear OA(25653, 65807, F256, 20) (dual of [65807, 65754, 21]-code) | [i] | ||
| 17 | Linear OA(25659, 66054, F256, 21) (dual of [66054, 65995, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(25660, 66057, F256, 21) (dual of [66057, 65997, 22]-code) | [i] | ||
| 19 | Linear OA(25656, 66053, F256, 20) (dual of [66053, 65997, 21]-code) | [i] | ||
| 20 | Linear OA(25657, 66056, F256, 20) (dual of [66056, 65999, 21]-code) | [i] | ||