Information on Result #699402
Linear OA(8139, 6563, F81, 20) (dual of [6563, 6524, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(8137, 6561, F81, 19) (dual of [6561, 6524, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(978, 13126, F9, 20) (dual of [13126, 13048, 21]-code) | [i] | Trace Code | |
| 2 | OA(2752, 6563, S27, 20) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8149, 6645, F81, 20) (dual of [6645, 6596, 21]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8150, 6663, F81, 20) (dual of [6663, 6613, 21]-code) | [i] | ||
| 5 | Linear OA(8151, 6679, F81, 20) (dual of [6679, 6628, 21]-code) | [i] | ||
| 6 | Linear OA(8152, 6681, F81, 20) (dual of [6681, 6629, 21]-code) | [i] | ||
| 7 | Linear OA(8153, 6713, F81, 20) (dual of [6713, 6660, 21]-code) | [i] | ||
| 8 | Linear OA(8154, 6729, F81, 20) (dual of [6729, 6675, 21]-code) | [i] | ||
| 9 | Linear OA(8155, 6745, F81, 20) (dual of [6745, 6690, 21]-code) | [i] | ||
| 10 | Linear OA(8156, 6893, F81, 20) (dual of [6893, 6837, 21]-code) | [i] | ||
| 11 | Linear OOA(8139, 3281, F81, 2, 20) (dual of [(3281, 2), 6523, 21]-NRT-code) | [i] | OOA Folding | |