Information on Result #607023
Linear OA(818, 82, F81, 8) (dual of [82, 74, 9]-code or 82-arc in PG(7,81)), using extended Reed–Solomon code RSe(74,81)
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(916, 164, F9, 8) (dual of [164, 148, 9]-code) | [i] | Trace Code | |
| 2 | Linear OA(915, 82, F9, 8) (dual of [82, 67, 9]-code) | [i] | Base Reduction for Projective Spaces | |
| 3 | OA(2711, 82, S27, 8) | [i] | Discarding Parts of the Base for OAs | |
| 4 | Linear OA(8126, 182, F81, 17) (dual of [182, 156, 18]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(8141, 6644, F81, 17) (dual of [6644, 6603, 18]-code) | [i] | ||
| 6 | Linear OA(8157, 531524, F81, 17) (dual of [531524, 531467, 18]-code) | [i] | ||
| 7 | Linear OA(8125, 182, F81, 16) (dual of [182, 157, 17]-code) | [i] | ||
| 8 | Linear OA(8139, 6643, F81, 16) (dual of [6643, 6604, 17]-code) | [i] | ||
| 9 | Linear OA(8154, 531523, F81, 16) (dual of [531523, 531469, 17]-code) | [i] | ||
| 10 | Linear OA(8112, 164, F81, 8) (dual of [164, 152, 9]-code) | [i] | ||
| 11 | Linear OA(8141, 6645, F81, 17) (dual of [6645, 6604, 18]-code) | [i] | ||
| 12 | Linear OA(8157, 531526, F81, 17) (dual of [531526, 531469, 18]-code) | [i] | ||
| 13 | Linear OA(8139, 6645, F81, 16) (dual of [6645, 6606, 17]-code) | [i] | ||
| 14 | Linear OA(8154, 531526, F81, 16) (dual of [531526, 531472, 17]-code) | [i] | ||
| 15 | Linear OA(8120, 6642, F81, 8) (dual of [6642, 6622, 9]-code) | [i] | Generalized (u, u+v)-Construction | |
| 16 | Linear OA(8172, 6725, F81, 26) (dual of [6725, 6653, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(8173, 6743, F81, 26) (dual of [6743, 6670, 27]-code) | [i] | ||
| 18 | Linear OA(8169, 6726, F81, 25) (dual of [6726, 6657, 26]-code) | [i] | ||
| 19 | Linear OA(8170, 6744, F81, 25) (dual of [6744, 6674, 26]-code) | [i] | ||
| 20 | Linear OA(8167, 6725, F81, 24) (dual of [6725, 6658, 25]-code) | [i] | ||
| 21 | Linear OA(8168, 6743, F81, 24) (dual of [6743, 6675, 25]-code) | [i] | ||
| 22 | Linear OA(8146, 6726, F81, 17) (dual of [6726, 6680, 18]-code) | [i] | ||
| 23 | Linear OA(8162, 531606, F81, 17) (dual of [531606, 531544, 18]-code) | [i] | ||
| 24 | Linear OA(8144, 6725, F81, 16) (dual of [6725, 6681, 17]-code) | [i] | ||
| 25 | Linear OA(8159, 531605, F81, 16) (dual of [531605, 531546, 17]-code) | [i] | ||