Information on Result #699161
Linear OA(8155, 531444, F81, 19) (dual of [531444, 531389, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(8155, 531441, F81, 19) (dual of [531441, 531386, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(9110, 1062888, F9, 19) (dual of [1062888, 1062778, 20]-code) | [i] | Trace Code | |
| 2 | Linear OA(8164, 531526, F81, 19) (dual of [531526, 531462, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8165, 531544, F81, 19) (dual of [531544, 531479, 20]-code) | [i] | ||
| 4 | Linear OA(8166, 531560, F81, 19) (dual of [531560, 531494, 20]-code) | [i] | ||
| 5 | Linear OA(8167, 531562, F81, 19) (dual of [531562, 531495, 20]-code) | [i] | ||
| 6 | Linear OA(8168, 531608, F81, 19) (dual of [531608, 531540, 20]-code) | [i] | ||
| 7 | Linear OA(8169, 531626, F81, 19) (dual of [531626, 531557, 20]-code) | [i] | ||
| 8 | Linear OA(8170, 531772, F81, 19) (dual of [531772, 531702, 20]-code) | [i] | ||
| 9 | Linear OA(8171, 531775, F81, 19) (dual of [531775, 531704, 20]-code) | [i] | ||
| 10 | Linear OA(8172, 538007, F81, 19) (dual of [538007, 537935, 20]-code) | [i] | ||
| 11 | Linear OOA(8155, 265722, F81, 2, 19) (dual of [(265722, 2), 531389, 20]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(8155, 177148, F81, 3, 19) (dual of [(177148, 3), 531389, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(8155, 132861, F81, 4, 19) (dual of [(132861, 4), 531389, 20]-NRT-code) | [i] | ||