Information on Result #866084
Linear OOA(2776, 9843, F27, 2, 26) (dual of [(9843, 2), 19610, 27]-NRT-code), using OOA 2-folding based on linear OA(2776, 19686, F27, 26) (dual of [19686, 19610, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2773, 19683, F27, 25) (dual of [19683, 19610, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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 OOA(2789, 9871, F27, 2, 26) (dual of [(9871, 2), 19653, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2790, 9881, F27, 2, 26) (dual of [(9881, 2), 19672, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(2791, 9891, F27, 2, 26) (dual of [(9891, 2), 19691, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(2792, 9895, F27, 2, 26) (dual of [(9895, 2), 19698, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(2793, 9907, F27, 2, 26) (dual of [(9907, 2), 19721, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(2794, 9911, F27, 2, 26) (dual of [(9911, 2), 19728, 27]-NRT-code) | [i] | ||
| 7 | Linear OOA(2795, 9919, F27, 2, 26) (dual of [(9919, 2), 19743, 27]-NRT-code) | [i] | ||
| 8 | Linear OOA(2796, 9925, F27, 2, 26) (dual of [(9925, 2), 19754, 27]-NRT-code) | [i] | ||
| 9 | Linear OOA(2797, 9927, F27, 2, 26) (dual of [(9927, 2), 19757, 27]-NRT-code) | [i] | ||
| 10 | Linear OOA(2798, 9931, F27, 2, 26) (dual of [(9931, 2), 19764, 27]-NRT-code) | [i] | ||
| 11 | Linear OOA(2799, 9939, F27, 2, 26) (dual of [(9939, 2), 19779, 27]-NRT-code) | [i] | ||
| 12 | Linear OOA(27100, 9945, F27, 2, 26) (dual of [(9945, 2), 19790, 27]-NRT-code) | [i] | ||
| 13 | OOA(2794, 9925, S27, 2, 26) | [i] | ||
| 14 | OOA(2795, 9943, S27, 2, 26) | [i] | ||
| 15 | OOA(2796, 9959, S27, 2, 26) | [i] | ||
| 16 | OOA(2799, 9993, S27, 2, 26) | [i] | ||
| 17 | OOA(27100, 10003, S27, 2, 26) | [i] | ||