Information on Result #699390
Linear OA(8155, 6563, F81, 28) (dual of [6563, 6508, 29]-code), using construction X applied to Ce(27) ⊂ Ce(26) based on
- linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8153, 6561, F81, 27) (dual of [6561, 6508, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(9110, 13126, F9, 28) (dual of [13126, 13016, 29]-code) | [i] | Trace Code | |
| 2 | OA(2774, 6563, S27, 28) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8169, 6645, F81, 28) (dual of [6645, 6576, 29]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8170, 6663, F81, 28) (dual of [6663, 6593, 29]-code) | [i] | ||
| 5 | Linear OA(8171, 6679, F81, 28) (dual of [6679, 6608, 29]-code) | [i] | ||
| 6 | Linear OA(8172, 6681, F81, 28) (dual of [6681, 6609, 29]-code) | [i] | ||
| 7 | Linear OA(8173, 6713, F81, 28) (dual of [6713, 6640, 29]-code) | [i] | ||
| 8 | Linear OA(8174, 6723, F81, 28) (dual of [6723, 6649, 29]-code) | [i] | ||
| 9 | Linear OA(8175, 6725, F81, 28) (dual of [6725, 6650, 29]-code) | [i] | ||
| 10 | Linear OA(8176, 6735, F81, 28) (dual of [6735, 6659, 29]-code) | [i] | ||
| 11 | Linear OA(8177, 6745, F81, 28) (dual of [6745, 6668, 29]-code) | [i] | ||
| 12 | Linear OA(8178, 6763, F81, 28) (dual of [6763, 6685, 29]-code) | [i] | ||
| 13 | Linear OA(8179, 6779, F81, 28) (dual of [6779, 6700, 29]-code) | [i] | ||
| 14 | Linear OA(8180, 6977, F81, 28) (dual of [6977, 6897, 29]-code) | [i] | ||
| 15 | Linear OOA(8155, 3281, F81, 2, 28) (dual of [(3281, 2), 6507, 29]-NRT-code) | [i] | OOA Folding | |