Information on Result #699399
Linear OA(8143, 6563, F81, 22) (dual of [6563, 6520, 23]-code), using construction X applied to Ce(21) ⊂ Ce(20) based on
- linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(8141, 6561, F81, 21) (dual of [6561, 6520, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(986, 13126, F9, 22) (dual of [13126, 13040, 23]-code) | [i] | Trace Code | |
| 2 | OA(2758, 6563, S27, 22) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8154, 6645, F81, 22) (dual of [6645, 6591, 23]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8155, 6663, F81, 22) (dual of [6663, 6608, 23]-code) | [i] | ||
| 5 | Linear OA(8156, 6679, F81, 22) (dual of [6679, 6623, 23]-code) | [i] | ||
| 6 | Linear OA(8157, 6681, F81, 22) (dual of [6681, 6624, 23]-code) | [i] | ||
| 7 | Linear OA(8158, 6713, F81, 22) (dual of [6713, 6655, 23]-code) | [i] | ||
| 8 | Linear OA(8159, 6727, F81, 22) (dual of [6727, 6668, 23]-code) | [i] | ||
| 9 | Linear OA(8160, 6745, F81, 22) (dual of [6745, 6685, 23]-code) | [i] | ||
| 10 | Linear OA(8161, 6763, F81, 22) (dual of [6763, 6702, 23]-code) | [i] | ||
| 11 | Linear OA(8162, 6973, F81, 22) (dual of [6973, 6911, 23]-code) | [i] | ||
| 12 | Linear OOA(8143, 3281, F81, 2, 22) (dual of [(3281, 2), 6519, 23]-NRT-code) | [i] | OOA Folding | |