Information on Result #699396
Linear OA(8147, 6563, F81, 24) (dual of [6563, 6516, 25]-code), using construction X applied to Ce(23) ⊂ Ce(22) based on
- linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(994, 13126, F9, 24) (dual of [13126, 13032, 25]-code) | [i] | Trace Code | |
| 2 | OA(2763, 6563, S27, 24) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8159, 6645, F81, 24) (dual of [6645, 6586, 25]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8160, 6663, F81, 24) (dual of [6663, 6603, 25]-code) | [i] | ||
| 5 | Linear OA(8161, 6679, F81, 24) (dual of [6679, 6618, 25]-code) | [i] | ||
| 6 | Linear OA(8162, 6681, F81, 24) (dual of [6681, 6619, 25]-code) | [i] | ||
| 7 | Linear OA(8163, 6713, F81, 24) (dual of [6713, 6650, 25]-code) | [i] | ||
| 8 | Linear OA(8164, 6723, F81, 24) (dual of [6723, 6659, 25]-code) | [i] | ||
| 9 | Linear OA(8165, 6727, F81, 24) (dual of [6727, 6662, 25]-code) | [i] | ||
| 10 | Linear OA(8166, 6745, F81, 24) (dual of [6745, 6679, 25]-code) | [i] | ||
| 11 | Linear OA(8167, 6763, F81, 24) (dual of [6763, 6696, 25]-code) | [i] | ||
| 12 | Linear OA(8168, 6975, F81, 24) (dual of [6975, 6907, 25]-code) | [i] | ||
| 13 | Linear OOA(8147, 3281, F81, 2, 24) (dual of [(3281, 2), 6515, 25]-NRT-code) | [i] | OOA Folding | |