Information on Result #699407
Linear OA(8133, 6563, F81, 17) (dual of [6563, 6530, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(8133, 6561, F81, 17) (dual of [6561, 6528, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 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(966, 13126, F9, 17) (dual of [13126, 13060, 18]-code) | [i] | Trace Code | |
| 2 | OA(2744, 6563, S27, 17) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8141, 6645, F81, 17) (dual of [6645, 6604, 18]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8142, 6663, F81, 17) (dual of [6663, 6621, 18]-code) | [i] | ||
| 5 | Linear OA(8143, 6679, F81, 17) (dual of [6679, 6636, 18]-code) | [i] | ||
| 6 | Linear OA(8144, 6681, F81, 17) (dual of [6681, 6637, 18]-code) | [i] | ||
| 7 | Linear OA(8145, 6727, F81, 17) (dual of [6727, 6682, 18]-code) | [i] | ||
| 8 | Linear OA(8146, 6745, F81, 17) (dual of [6745, 6699, 18]-code) | [i] | ||
| 9 | Linear OA(8147, 6890, F81, 17) (dual of [6890, 6843, 18]-code) | [i] | ||
| 10 | Linear OA(8148, 13126, F81, 17) (dual of [13126, 13078, 18]-code) | [i] | ||