Information on Result #619243
Linear OA(819, 82, F81, 9) (dual of [82, 73, 10]-code or 82-arc in PG(8,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(918, 164, F9, 9) (dual of [164, 146, 10]-code) | [i] | Trace Code | |
| 2 | OA(2712, 82, S27, 9) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8129, 182, F81, 19) (dual of [182, 153, 20]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8146, 6644, F81, 19) (dual of [6644, 6598, 20]-code) | [i] | ||
| 5 | Linear OA(8164, 531524, F81, 19) (dual of [531524, 531460, 20]-code) | [i] | ||
| 6 | Linear OA(8128, 182, F81, 18) (dual of [182, 154, 19]-code) | [i] | ||
| 7 | Linear OA(8144, 6643, F81, 18) (dual of [6643, 6599, 19]-code) | [i] | ||
| 8 | Linear OA(8161, 531523, F81, 18) (dual of [531523, 531462, 19]-code) | [i] | ||
| 9 | Linear OA(8146, 6645, F81, 19) (dual of [6645, 6599, 20]-code) | [i] | ||
| 10 | Linear OA(8164, 531526, F81, 19) (dual of [531526, 531462, 20]-code) | [i] | ||
| 11 | Linear OA(8144, 6645, F81, 18) (dual of [6645, 6601, 19]-code) | [i] | ||
| 12 | Linear OA(8161, 531526, F81, 18) (dual of [531526, 531465, 19]-code) | [i] | ||
| 13 | Linear OA(8123, 6642, F81, 9) (dual of [6642, 6619, 10]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(8180, 6726, F81, 29) (dual of [6726, 6646, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(8181, 6744, F81, 29) (dual of [6744, 6663, 30]-code) | [i] | ||
| 16 | Linear OA(8178, 6725, F81, 28) (dual of [6725, 6647, 29]-code) | [i] | ||
| 17 | Linear OA(8179, 6743, F81, 28) (dual of [6743, 6664, 29]-code) | [i] | ||
| 18 | Linear OA(8175, 6726, F81, 27) (dual of [6726, 6651, 28]-code) | [i] | ||
| 19 | Linear OA(8176, 6744, F81, 27) (dual of [6744, 6668, 28]-code) | [i] | ||
| 20 | Linear OA(8152, 6726, F81, 19) (dual of [6726, 6674, 20]-code) | [i] | ||
| 21 | Linear OA(8170, 531606, F81, 19) (dual of [531606, 531536, 20]-code) | [i] | ||
| 22 | Linear OA(8150, 6725, F81, 18) (dual of [6725, 6675, 19]-code) | [i] | ||
| 23 | Linear OA(8167, 531605, F81, 18) (dual of [531605, 531538, 19]-code) | [i] | ||
| 24 | Linear OA(8112, 86, F81, 9) (dual of [86, 74, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |