Information on Result #699174
Linear OA(8128, 531444, F81, 10) (dual of [531444, 531416, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- 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 [i]
- linear OA(8125, 531441, F81, 9) (dual of [531441, 531416, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(956, 1062888, F9, 10) (dual of [1062888, 1062832, 11]-code) | [i] | Trace Code | |
| 2 | Linear OA(8133, 531526, F81, 10) (dual of [531526, 531493, 11]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8134, 531544, F81, 10) (dual of [531544, 531510, 11]-code) | [i] | ||
| 4 | Linear OA(8135, 537925, F81, 10) (dual of [537925, 537890, 11]-code) | [i] | ||
| 5 | Linear OOA(8128, 265722, F81, 2, 10) (dual of [(265722, 2), 531416, 11]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8128, 177148, F81, 3, 10) (dual of [(177148, 3), 531416, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(8128, 132861, F81, 4, 10) (dual of [(132861, 4), 531416, 11]-NRT-code) | [i] | ||