Information on Result #619255
Linear OA(8128, 531441, F81, 10) (dual of [531441, 531413, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10
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(956, 1062882, F9, 10) (dual of [1062882, 1062826, 11]-code) | [i] | Trace Code | |
| 2 | Linear OA(8133, 531523, F81, 10) (dual of [531523, 531490, 11]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8134, 531541, F81, 10) (dual of [531541, 531507, 11]-code) | [i] | ||
| 4 | Linear OA(8135, 537922, F81, 10) (dual of [537922, 537887, 11]-code) | [i] | ||
| 5 | Linear OA(8136, 531450, F81, 10) (dual of [531450, 531414, 11]-code) | [i] | Generalized (u, u+v)-Construction | |
| 6 | Linear OA(8135, 531449, F81, 10) (dual of [531449, 531414, 11]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(8136, 531605, F81, 10) (dual of [531605, 531569, 11]-code) | [i] | ||
| 8 | Linear OA(8131, 531444, F81, 11) (dual of [531444, 531413, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(8128, 531444, F81, 10) (dual of [531444, 531416, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(8135, 531448, F81, 12) (dual of [531448, 531413, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(8129, 531448, F81, 10) (dual of [531448, 531419, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(8139, 531452, F81, 13) (dual of [531452, 531413, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(8130, 531452, F81, 10) (dual of [531452, 531422, 11]-code) | [i] | ✔ | |
| 14 | Linear OA(8143, 531456, F81, 14) (dual of [531456, 531413, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(8131, 531456, F81, 10) (dual of [531456, 531425, 11]-code) | [i] | ✔ | |
| 16 | Linear OA(8147, 531460, F81, 15) (dual of [531460, 531413, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(8132, 531460, F81, 10) (dual of [531460, 531428, 11]-code) | [i] | ✔ | |
| 18 | Linear OA(8151, 531464, F81, 16) (dual of [531464, 531413, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(8155, 531468, F81, 17) (dual of [531468, 531413, 18]-code) | [i] | ✔ | |
| 20 | Linear OA(8159, 531472, F81, 18) (dual of [531472, 531413, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(8163, 531476, F81, 19) (dual of [531476, 531413, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(8167, 531480, F81, 20) (dual of [531480, 531413, 21]-code) | [i] | ✔ | |
| 23 | Linear OOA(8128, 106288, F81, 10, 10) (dual of [(106288, 10), 1062852, 11]-NRT-code) | [i] | OA Folding and Stacking | |