Information on Result #617725
Linear OA(2791, 19683, F27, 32) (dual of [19683, 19592, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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(27107, 19711, F27, 32) (dual of [19711, 19604, 33]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27108, 19721, F27, 32) (dual of [19721, 19613, 33]-code) | [i] | ||
| 3 | Linear OA(27109, 19731, F27, 32) (dual of [19731, 19622, 33]-code) | [i] | ||
| 4 | Linear OA(27110, 19735, F27, 32) (dual of [19735, 19625, 33]-code) | [i] | ||
| 5 | Linear OA(2794, 19686, F27, 33) (dual of [19686, 19592, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(2791, 19686, F27, 32) (dual of [19686, 19595, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(2798, 19690, F27, 34) (dual of [19690, 19592, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(2792, 19690, F27, 32) (dual of [19690, 19598, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(27102, 19694, F27, 35) (dual of [19694, 19592, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(2793, 19694, F27, 32) (dual of [19694, 19601, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(27106, 19698, F27, 36) (dual of [19698, 19592, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(2794, 19698, F27, 32) (dual of [19698, 19604, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(27110, 19702, F27, 37) (dual of [19702, 19592, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(2796, 19703, F27, 32) (dual of [19703, 19607, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(2797, 19707, F27, 32) (dual of [19707, 19610, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(2798, 19711, F27, 32) (dual of [19711, 19613, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(27100, 19716, F27, 32) (dual of [19716, 19616, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(27101, 19720, F27, 32) (dual of [19720, 19619, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(27103, 19725, F27, 32) (dual of [19725, 19622, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(27104, 19729, F27, 32) (dual of [19729, 19625, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(27105, 19731, F27, 32) (dual of [19731, 19626, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(27106, 19734, F27, 32) (dual of [19734, 19628, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(27108, 19739, F27, 32) (dual of [19739, 19631, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(27109, 19743, F27, 32) (dual of [19743, 19634, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(27110, 19747, F27, 32) (dual of [19747, 19637, 33]-code) | [i] | ✔ | |
| 26 | Linear OOA(2791, 1230, F27, 32, 32) (dual of [(1230, 32), 39269, 33]-NRT-code) | [i] | OA Folding and Stacking | |