Information on Result #699411
Linear OA(8127, 6563, F81, 14) (dual of [6563, 6536, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8125, 6561, F81, 13) (dual of [6561, 6536, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(954, 13126, F9, 14) (dual of [13126, 13072, 15]-code) | [i] | Trace Code | |
| 2 | OA(2736, 6563, S27, 14) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8134, 6645, F81, 14) (dual of [6645, 6611, 15]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8135, 6663, F81, 14) (dual of [6663, 6628, 15]-code) | [i] | ||
| 5 | Linear OA(8136, 6679, F81, 14) (dual of [6679, 6643, 15]-code) | [i] | ||
| 6 | Linear OA(8137, 6727, F81, 14) (dual of [6727, 6690, 15]-code) | [i] | ||
| 7 | Linear OA(8138, 6745, F81, 14) (dual of [6745, 6707, 15]-code) | [i] | ||
| 8 | Linear OOA(8127, 3281, F81, 2, 14) (dual of [(3281, 2), 6535, 15]-NRT-code) | [i] | OOA Folding | |