Information on Result #607021
Linear OA(816, 82, F81, 6) (dual of [82, 76, 7]-code or 82-arc in PG(5,81)), using extended Reed–Solomon code RSe(76,81)
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(912, 164, F9, 6) (dual of [164, 152, 7]-code) | [i] | Trace Code | |
| 2 | Linear OA(911, 82, F9, 6) (dual of [82, 71, 7]-code) | [i] | Base Reduction for Projective Spaces | |
| 3 | OA(278, 82, S27, 6) | [i] | Discarding Parts of the Base for OAs | |
| 4 | Linear OA(8120, 182, F81, 13) (dual of [182, 162, 14]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(8131, 6644, F81, 13) (dual of [6644, 6613, 14]-code) | [i] | ||
| 6 | Linear OA(8143, 531524, F81, 13) (dual of [531524, 531481, 14]-code) | [i] | ||
| 7 | Linear OA(8118, 164, F81, 12) (dual of [164, 146, 13]-code) | [i] | ||
| 8 | Linear OA(8119, 182, F81, 12) (dual of [182, 163, 13]-code) | [i] | ||
| 9 | Linear OA(8129, 6643, F81, 12) (dual of [6643, 6614, 13]-code) | [i] | ||
| 10 | Linear OA(8140, 531523, F81, 12) (dual of [531523, 531483, 13]-code) | [i] | ||
| 11 | Linear OA(8131, 6645, F81, 13) (dual of [6645, 6614, 14]-code) | [i] | ||
| 12 | Linear OA(8143, 531526, F81, 13) (dual of [531526, 531483, 14]-code) | [i] | ||
| 13 | Linear OA(8129, 6645, F81, 12) (dual of [6645, 6616, 13]-code) | [i] | ||
| 14 | Linear OA(8140, 531526, F81, 12) (dual of [531526, 531486, 13]-code) | [i] | ||
| 15 | Linear OA(8114, 6642, F81, 6) (dual of [6642, 6628, 7]-code) | [i] | Generalized (u, u+v)-Construction | |
| 16 | Linear OA(8155, 6725, F81, 20) (dual of [6725, 6670, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(8156, 6743, F81, 20) (dual of [6743, 6687, 21]-code) | [i] | ||
| 18 | Linear OA(8174, 531605, F81, 20) (dual of [531605, 531531, 21]-code) | [i] | ||
| 19 | Linear OA(8175, 531623, F81, 20) (dual of [531623, 531548, 21]-code) | [i] | ||
| 20 | Linear OA(8152, 6726, F81, 19) (dual of [6726, 6674, 20]-code) | [i] | ||
| 21 | Linear OA(8153, 6744, F81, 19) (dual of [6744, 6691, 20]-code) | [i] | ||
| 22 | Linear OA(8170, 531606, F81, 19) (dual of [531606, 531536, 20]-code) | [i] | ||
| 23 | Linear OA(8171, 531624, F81, 19) (dual of [531624, 531553, 20]-code) | [i] | ||
| 24 | Linear OA(8150, 6725, F81, 18) (dual of [6725, 6675, 19]-code) | [i] | ||
| 25 | Linear OA(8167, 531605, F81, 18) (dual of [531605, 531538, 19]-code) | [i] | ||
| 26 | Linear OA(8168, 531623, F81, 18) (dual of [531623, 531555, 19]-code) | [i] | ||
| 27 | Linear OA(8135, 6726, F81, 13) (dual of [6726, 6691, 14]-code) | [i] | ||
| 28 | Linear OA(8147, 531606, F81, 13) (dual of [531606, 531559, 14]-code) | [i] | ||
| 29 | Linear OA(8144, 531605, F81, 12) (dual of [531605, 531561, 13]-code) | [i] | ||
| 30 | Linear OA(8110, 219, F81, 6) (dual of [219, 209, 7]-code) | [i] | Varšamov–Edel Lengthening | |