Information on Result #617696
Linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
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(2796, 19711, F27, 29) (dual of [19711, 19615, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2797, 19721, F27, 29) (dual of [19721, 19624, 30]-code) | [i] | ||
| 3 | Linear OA(2798, 19731, F27, 29) (dual of [19731, 19633, 30]-code) | [i] | ||
| 4 | Linear OA(2799, 19735, F27, 29) (dual of [19735, 19636, 30]-code) | [i] | ||
| 5 | Linear OA(27100, 19747, F27, 29) (dual of [19747, 19647, 30]-code) | [i] | ||
| 6 | Linear OA(27101, 19751, F27, 29) (dual of [19751, 19650, 30]-code) | [i] | ||
| 7 | Linear OA(27102, 19759, F27, 29) (dual of [19759, 19657, 30]-code) | [i] | ||
| 8 | Linear OA(27103, 19765, F27, 29) (dual of [19765, 19662, 30]-code) | [i] | ||
| 9 | Linear OA(27104, 19767, F27, 29) (dual of [19767, 19663, 30]-code) | [i] | ||
| 10 | Linear OA(27105, 19771, F27, 29) (dual of [19771, 19666, 30]-code) | [i] | ||
| 11 | Linear OA(27106, 19788, F27, 29) (dual of [19788, 19682, 30]-code) | [i] | ||
| 12 | Linear OA(27108, 19866, F27, 29) (dual of [19866, 19758, 30]-code) | [i] | ||
| 13 | Linear OA(27108, 19710, F27, 29) (dual of [19710, 19602, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(27106, 19708, F27, 29) (dual of [19708, 19602, 30]-code) | [i] | ||
| 15 | Linear OA(27105, 19707, F27, 29) (dual of [19707, 19602, 30]-code) | [i] | ||
| 16 | Linear OA(27108, 19711, F27, 29) (dual of [19711, 19603, 30]-code) | [i] | ||
| 17 | Linear OA(27107, 19710, F27, 29) (dual of [19710, 19603, 30]-code) | [i] | ||
| 18 | Linear OA(27108, 19713, F27, 29) (dual of [19713, 19605, 30]-code) | [i] | ||
| 19 | Linear OA(27101, 19703, F27, 29) (dual of [19703, 19602, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(27102, 19705, F27, 29) (dual of [19705, 19603, 30]-code) | [i] | ||
| 21 | Linear OA(27103, 19707, F27, 29) (dual of [19707, 19604, 30]-code) | [i] | ||
| 22 | Linear OA(27104, 19709, F27, 29) (dual of [19709, 19605, 30]-code) | [i] | ||
| 23 | Linear OA(27105, 19739, F27, 29) (dual of [19739, 19634, 30]-code) | [i] | ||
| 24 | Linear OA(27106, 19749, F27, 29) (dual of [19749, 19643, 30]-code) | [i] | ||
| 25 | Linear OA(27107, 19759, F27, 29) (dual of [19759, 19652, 30]-code) | [i] | ||
| 26 | Linear OA(27108, 19769, F27, 29) (dual of [19769, 19661, 30]-code) | [i] | ||
| 27 | Linear OA(2785, 19686, F27, 30) (dual of [19686, 19601, 31]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 28 | Linear OA(2782, 19686, F27, 29) (dual of [19686, 19604, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(2789, 19690, F27, 31) (dual of [19690, 19601, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(2784, 19691, F27, 29) (dual of [19691, 19607, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(2793, 19694, F27, 32) (dual of [19694, 19601, 33]-code) | [i] | ✔ | |
| 32 | Linear OA(2785, 19695, F27, 29) (dual of [19695, 19610, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(2797, 19698, F27, 33) (dual of [19698, 19601, 34]-code) | [i] | ✔ | |
| 34 | Linear OA(2786, 19699, F27, 29) (dual of [19699, 19613, 30]-code) | [i] | ✔ | |
| 35 | Linear OA(27101, 19702, F27, 34) (dual of [19702, 19601, 35]-code) | [i] | ✔ | |
| 36 | Linear OA(2787, 19703, F27, 29) (dual of [19703, 19616, 30]-code) | [i] | ✔ | |
| 37 | Linear OA(27105, 19706, F27, 35) (dual of [19706, 19601, 36]-code) | [i] | ✔ | |
| 38 | Linear OA(2788, 19707, F27, 29) (dual of [19707, 19619, 30]-code) | [i] | ✔ | |
| 39 | Linear OA(27109, 19710, F27, 36) (dual of [19710, 19601, 37]-code) | [i] | ✔ | |
| 40 | Linear OA(2789, 19711, F27, 29) (dual of [19711, 19622, 30]-code) | [i] | ✔ | |
| 41 | Linear OA(2791, 19716, F27, 29) (dual of [19716, 19625, 30]-code) | [i] | ✔ | |
| 42 | Linear OA(2792, 19720, F27, 29) (dual of [19720, 19628, 30]-code) | [i] | ✔ | |
| 43 | Linear OA(2794, 19725, F27, 29) (dual of [19725, 19631, 30]-code) | [i] | ✔ | |
| 44 | Linear OA(2795, 19729, F27, 29) (dual of [19729, 19634, 30]-code) | [i] | ✔ | |
| 45 | Linear OA(2796, 19731, F27, 29) (dual of [19731, 19635, 30]-code) | [i] | ✔ | |
| 46 | Linear OA(2797, 19734, F27, 29) (dual of [19734, 19637, 30]-code) | [i] | ✔ | |
| 47 | Linear OA(2799, 19739, F27, 29) (dual of [19739, 19640, 30]-code) | [i] | ✔ | |
| 48 | Linear OA(27110, 19712, F27, 36) (dual of [19712, 19602, 37]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |