Information on Result #695083
Linear OA(2758, 19686, F27, 20) (dual of [19686, 19628, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(2758, 19683, F27, 20) (dual of [19683, 19625, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2755, 19683, F27, 19) (dual of [19683, 19628, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 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(2770, 19734, F27, 20) (dual of [19734, 19664, 21]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2771, 19738, F27, 20) (dual of [19738, 19667, 21]-code) | [i] | ||
| 3 | Linear OA(2772, 19750, F27, 20) (dual of [19750, 19678, 21]-code) | [i] | ||
| 4 | Linear OA(2773, 19754, F27, 20) (dual of [19754, 19681, 21]-code) | [i] | ||
| 5 | Linear OA(2774, 19762, F27, 20) (dual of [19762, 19688, 21]-code) | [i] | ||
| 6 | Linear OA(2775, 19793, F27, 20) (dual of [19793, 19718, 21]-code) | [i] | ||
| 7 | Linear OA(2776, 19872, F27, 20) (dual of [19872, 19796, 21]-code) | [i] | ||
| 8 | OA(2772, 19768, S27, 20) | [i] | ||
| 9 | OA(2773, 19786, S27, 20) | [i] | ||
| 10 | OA(2774, 19802, S27, 20) | [i] | ||
| 11 | Linear OOA(2758, 9843, F27, 2, 20) (dual of [(9843, 2), 19628, 21]-NRT-code) | [i] | OOA Folding | |