Information on Result #607019
Linear OA(814, 82, F81, 4) (dual of [82, 78, 5]-code or 82-arc in PG(3,81)), using extended Reed–Solomon code RSe(78,81)
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(98, 164, F9, 4) (dual of [164, 156, 5]-code) | [i] | Trace Code | |
| 2 | Linear OA(97, 82, F9, 4) (dual of [82, 75, 5]-code) | [i] | Base Reduction for Projective Spaces | |
| 3 | Linear OA(8114, 182, F81, 9) (dual of [182, 168, 10]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8121, 6644, F81, 9) (dual of [6644, 6623, 10]-code) | [i] | ||
| 5 | Linear OA(8129, 531524, F81, 9) (dual of [531524, 531495, 10]-code) | [i] | ||
| 6 | Linear OA(8112, 164, F81, 8) (dual of [164, 152, 9]-code) | [i] | ||
| 7 | Linear OA(8113, 182, F81, 8) (dual of [182, 169, 9]-code) | [i] | ||
| 8 | Linear OA(8119, 6643, F81, 8) (dual of [6643, 6624, 9]-code) | [i] | ||
| 9 | Linear OA(8126, 531523, F81, 8) (dual of [531523, 531497, 9]-code) | [i] | ||
| 10 | Linear OA(8121, 6645, F81, 9) (dual of [6645, 6624, 10]-code) | [i] | ||
| 11 | Linear OA(8129, 531526, F81, 9) (dual of [531526, 531497, 10]-code) | [i] | ||
| 12 | Linear OA(8119, 6645, F81, 8) (dual of [6645, 6626, 9]-code) | [i] | ||
| 13 | Linear OA(8126, 531526, F81, 8) (dual of [531526, 531500, 9]-code) | [i] | ||
| 14 | Linear OA(8123, 6642, F81, 9) (dual of [6642, 6619, 10]-code) | [i] | Generalized (u, u+v)-Construction | |
| 15 | Linear OA(8120, 6642, F81, 8) (dual of [6642, 6622, 9]-code) | [i] | ||
| 16 | Linear OA(8121, 6660, F81, 8) (dual of [6660, 6639, 9]-code) | [i] | ||
| 17 | Linear OA(818, 6642, F81, 4) (dual of [6642, 6634, 5]-code) | [i] | ||
| 18 | Linear OA(8138, 6725, F81, 14) (dual of [6725, 6687, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 19 | Linear OA(8151, 531605, F81, 14) (dual of [531605, 531554, 15]-code) | [i] | ||
| 20 | Linear OA(8152, 531623, F81, 14) (dual of [531623, 531571, 15]-code) | [i] | ||
| 21 | Linear OA(8135, 6726, F81, 13) (dual of [6726, 6691, 14]-code) | [i] | ||
| 22 | Linear OA(8147, 531606, F81, 13) (dual of [531606, 531559, 14]-code) | [i] | ||
| 23 | Linear OA(8148, 531624, F81, 13) (dual of [531624, 531576, 14]-code) | [i] | ||
| 24 | Linear OA(8144, 531605, F81, 12) (dual of [531605, 531561, 13]-code) | [i] | ||
| 25 | Linear OA(8132, 531606, F81, 9) (dual of [531606, 531574, 10]-code) | [i] | ||
| 26 | Linear OA(8121, 6725, F81, 8) (dual of [6725, 6704, 9]-code) | [i] | ||
| 27 | Linear OA(8128, 531605, F81, 8) (dual of [531605, 531577, 9]-code) | [i] | ||