Information on Result #619240
Linear OA(8122, 531441, F81, 8) (dual of [531441, 531419, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(944, 1062882, F9, 8) (dual of [1062882, 1062838, 9]-code) | [i] | Trace Code | |
| 2 | Linear OA(8126, 531523, F81, 8) (dual of [531523, 531497, 9]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8127, 531541, F81, 8) (dual of [531541, 531514, 9]-code) | [i] | ||
| 4 | Linear OA(8128, 537921, F81, 8) (dual of [537921, 537893, 9]-code) | [i] | ||
| 5 | Linear OA(8127, 531447, F81, 8) (dual of [531447, 531420, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(8128, 531605, F81, 8) (dual of [531605, 531577, 9]-code) | [i] | ||
| 7 | Linear OA(8125, 531444, F81, 9) (dual of [531444, 531419, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(8122, 531444, F81, 8) (dual of [531444, 531422, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(8129, 531448, F81, 10) (dual of [531448, 531419, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(8123, 531448, F81, 8) (dual of [531448, 531425, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(8133, 531452, F81, 11) (dual of [531452, 531419, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(8124, 531452, F81, 8) (dual of [531452, 531428, 9]-code) | [i] | ✔ | |
| 13 | Linear OA(8137, 531456, F81, 12) (dual of [531456, 531419, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(8125, 531456, F81, 8) (dual of [531456, 531431, 9]-code) | [i] | ✔ | |
| 15 | Linear OA(8141, 531460, F81, 13) (dual of [531460, 531419, 14]-code) | [i] | ✔ | |
| 16 | Linear OA(8145, 531464, F81, 14) (dual of [531464, 531419, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(8149, 531468, F81, 15) (dual of [531468, 531419, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(8153, 531472, F81, 16) (dual of [531472, 531419, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(8132, 531452, F81, 10) (dual of [531452, 531420, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |