Information on Result #699384
Linear OA(8163, 6563, F81, 32) (dual of [6563, 6500, 33]-code), using construction X applied to Ce(31) ⊂ Ce(30) based on
- linear OA(8163, 6561, F81, 32) (dual of [6561, 6498, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(8161, 6561, F81, 31) (dual of [6561, 6500, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(9126, 13126, F9, 32) (dual of [13126, 13000, 33]-code) | [i] | Trace Code | |
| 2 | OA(2784, 6563, S27, 32) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8179, 6645, F81, 32) (dual of [6645, 6566, 33]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8180, 6663, F81, 32) (dual of [6663, 6583, 33]-code) | [i] | ||
| 5 | Linear OA(8181, 6679, F81, 32) (dual of [6679, 6598, 33]-code) | [i] | ||
| 6 | Linear OA(8182, 6681, F81, 32) (dual of [6681, 6599, 33]-code) | [i] | ||
| 7 | Linear OOA(8163, 3281, F81, 2, 32) (dual of [(3281, 2), 6499, 33]-NRT-code) | [i] | OOA Folding | |