Information on Result #865831
Linear OOA(2767, 9843, F27, 2, 23) (dual of [(9843, 2), 19619, 24]-NRT-code), using OOA 2-folding based on linear OA(2767, 19686, F27, 23) (dual of [19686, 19619, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(2767, 19683, F27, 23) (dual of [19683, 19616, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2764, 19683, F27, 22) (dual of [19683, 19619, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(2778, 9871, F27, 2, 23) (dual of [(9871, 2), 19664, 24]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2779, 9881, F27, 2, 23) (dual of [(9881, 2), 19683, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(2780, 9891, F27, 2, 23) (dual of [(9891, 2), 19702, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(2781, 9895, F27, 2, 23) (dual of [(9895, 2), 19709, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(2782, 9907, F27, 2, 23) (dual of [(9907, 2), 19732, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(2783, 9911, F27, 2, 23) (dual of [(9911, 2), 19739, 24]-NRT-code) | [i] | ||
| 7 | Linear OOA(2784, 9919, F27, 2, 23) (dual of [(9919, 2), 19754, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(2785, 9925, F27, 2, 23) (dual of [(9925, 2), 19765, 24]-NRT-code) | [i] | ||
| 9 | Linear OOA(2786, 9929, F27, 2, 23) (dual of [(9929, 2), 19772, 24]-NRT-code) | [i] | ||
| 10 | Linear OOA(2787, 9939, F27, 2, 23) (dual of [(9939, 2), 19791, 24]-NRT-code) | [i] | ||
| 11 | OOA(2782, 9925, S27, 2, 23) | [i] | ||
| 12 | OOA(2783, 9943, S27, 2, 23) | [i] | ||
| 13 | OOA(2785, 9959, S27, 2, 23) | [i] | ||
| 14 | OOA(2787, 9993, S27, 2, 23) | [i] | ||