Information on Result #617676
Linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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(2778, 19682, F27, 27) (dual of [19682, 19604, 28]-code) | [i] | Truncation | |
| 2 | OA(9119, 19683, S9, 28) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(2793, 19711, F27, 28) (dual of [19711, 19618, 29]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(2794, 19721, F27, 28) (dual of [19721, 19627, 29]-code) | [i] | ||
| 5 | Linear OA(2795, 19731, F27, 28) (dual of [19731, 19636, 29]-code) | [i] | ||
| 6 | Linear OA(2796, 19735, F27, 28) (dual of [19735, 19639, 29]-code) | [i] | ||
| 7 | Linear OA(2797, 19747, F27, 28) (dual of [19747, 19650, 29]-code) | [i] | ||
| 8 | Linear OA(2798, 19751, F27, 28) (dual of [19751, 19653, 29]-code) | [i] | ||
| 9 | Linear OA(2799, 19759, F27, 28) (dual of [19759, 19660, 29]-code) | [i] | ||
| 10 | Linear OA(27100, 19765, F27, 28) (dual of [19765, 19665, 29]-code) | [i] | ||
| 11 | Linear OA(27101, 19767, F27, 28) (dual of [19767, 19666, 29]-code) | [i] | ||
| 12 | Linear OA(27102, 19771, F27, 28) (dual of [19771, 19669, 29]-code) | [i] | ||
| 13 | Linear OA(27103, 19788, F27, 28) (dual of [19788, 19685, 29]-code) | [i] | ||
| 14 | Linear OA(27103, 19790, F27, 28) (dual of [19790, 19687, 29]-code) | [i] | ||
| 15 | Linear OA(27104, 19793, F27, 28) (dual of [19793, 19689, 29]-code) | [i] | ||
| 16 | OA(2798, 19765, S27, 28) | [i] | ||
| 17 | OA(2799, 19783, S27, 28) | [i] | ||
| 18 | OA(27101, 19799, S27, 28) | [i] | ||
| 19 | OA(27102, 19801, S27, 28) | [i] | ||
| 20 | OA(27103, 19833, S27, 28) | [i] | ||
| 21 | Linear OA(27103, 19708, F27, 28) (dual of [19708, 19605, 29]-code) | [i] | Generalized (u, u+v)-Construction | |
| 22 | Linear OA(27102, 19707, F27, 28) (dual of [19707, 19605, 29]-code) | [i] | ||
| 23 | Linear OA(27104, 19710, F27, 28) (dual of [19710, 19606, 29]-code) | [i] | ||
| 24 | Linear OA(2798, 19703, F27, 28) (dual of [19703, 19605, 29]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 25 | Linear OA(2799, 19705, F27, 28) (dual of [19705, 19606, 29]-code) | [i] | ||
| 26 | Linear OA(27100, 19707, F27, 28) (dual of [19707, 19607, 29]-code) | [i] | ||
| 27 | Linear OA(27101, 19709, F27, 28) (dual of [19709, 19608, 29]-code) | [i] | ||
| 28 | Linear OA(27102, 19739, F27, 28) (dual of [19739, 19637, 29]-code) | [i] | ||
| 29 | Linear OA(27103, 19749, F27, 28) (dual of [19749, 19646, 29]-code) | [i] | ||
| 30 | Linear OA(27104, 19759, F27, 28) (dual of [19759, 19655, 29]-code) | [i] | ||
| 31 | Linear OA(2782, 19686, F27, 29) (dual of [19686, 19604, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 32 | Linear OA(2780, 19687, F27, 28) (dual of [19687, 19607, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(2786, 19690, F27, 30) (dual of [19690, 19604, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(2781, 19691, F27, 28) (dual of [19691, 19610, 29]-code) | [i] | ✔ | |
| 35 | Linear OA(2790, 19694, F27, 31) (dual of [19694, 19604, 32]-code) | [i] | ✔ | |
| 36 | Linear OA(2782, 19695, F27, 28) (dual of [19695, 19613, 29]-code) | [i] | ✔ | |
| 37 | Linear OA(2794, 19698, F27, 32) (dual of [19698, 19604, 33]-code) | [i] | ✔ | |
| 38 | Linear OA(2783, 19699, F27, 28) (dual of [19699, 19616, 29]-code) | [i] | ✔ | |
| 39 | Linear OA(2798, 19702, F27, 33) (dual of [19702, 19604, 34]-code) | [i] | ✔ | |
| 40 | Linear OA(2784, 19703, F27, 28) (dual of [19703, 19619, 29]-code) | [i] | ✔ | |
| 41 | Linear OA(27102, 19706, F27, 34) (dual of [19706, 19604, 35]-code) | [i] | ✔ | |
| 42 | Linear OA(2785, 19707, F27, 28) (dual of [19707, 19622, 29]-code) | [i] | ✔ | |
| 43 | Linear OA(27106, 19710, F27, 35) (dual of [19710, 19604, 36]-code) | [i] | ✔ | |
| 44 | Linear OA(2786, 19711, F27, 28) (dual of [19711, 19625, 29]-code) | [i] | ✔ | |
| 45 | Linear OA(2788, 19716, F27, 28) (dual of [19716, 19628, 29]-code) | [i] | ✔ | |
| 46 | Linear OA(2789, 19720, F27, 28) (dual of [19720, 19631, 29]-code) | [i] | ✔ | |
| 47 | Linear OA(2791, 19725, F27, 28) (dual of [19725, 19634, 29]-code) | [i] | ✔ | |
| 48 | Linear OA(2792, 19729, F27, 28) (dual of [19729, 19637, 29]-code) | [i] | ✔ | |
| 49 | Linear OA(2793, 19731, F27, 28) (dual of [19731, 19638, 29]-code) | [i] | ✔ | |
| 50 | Linear OA(2794, 19734, F27, 28) (dual of [19734, 19640, 29]-code) | [i] | ✔ | |
| 51 | Linear OA(2796, 19739, F27, 28) (dual of [19739, 19643, 29]-code) | [i] | ✔ | |
| 52 | Linear OA(27110, 19712, F27, 36) (dual of [19712, 19602, 37]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 53 | Linear OA(27108, 19713, F27, 35) (dual of [19713, 19605, 36]-code) | [i] | ✔ | |
| 54 | Linear OOA(2779, 9841, F27, 2, 28) (dual of [(9841, 2), 19603, 29]-NRT-code) | [i] | OOA Folding | |
| 55 | Linear OOA(2779, 1405, F27, 28, 28) (dual of [(1405, 28), 39261, 29]-NRT-code) | [i] | OA Folding and Stacking | |