Information on Result #617624
Linear OA(2770, 19683, F27, 24) (dual of [19683, 19613, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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(2782, 19711, F27, 24) (dual of [19711, 19629, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2783, 19721, F27, 24) (dual of [19721, 19638, 25]-code) | [i] | ||
| 3 | Linear OA(2784, 19731, F27, 24) (dual of [19731, 19647, 25]-code) | [i] | ||
| 4 | Linear OA(2785, 19735, F27, 24) (dual of [19735, 19650, 25]-code) | [i] | ||
| 5 | Linear OA(2786, 19747, F27, 24) (dual of [19747, 19661, 25]-code) | [i] | ||
| 6 | Linear OA(2787, 19751, F27, 24) (dual of [19751, 19664, 25]-code) | [i] | ||
| 7 | Linear OA(2788, 19759, F27, 24) (dual of [19759, 19671, 25]-code) | [i] | ||
| 8 | Linear OA(2789, 19765, F27, 24) (dual of [19765, 19676, 25]-code) | [i] | ||
| 9 | Linear OA(2790, 19767, F27, 24) (dual of [19767, 19677, 25]-code) | [i] | ||
| 10 | Linear OA(2791, 19788, F27, 24) (dual of [19788, 19697, 25]-code) | [i] | ||
| 11 | Linear OA(2792, 19866, F27, 24) (dual of [19866, 19774, 25]-code) | [i] | ||
| 12 | Linear OA(2789, 19703, F27, 24) (dual of [19703, 19614, 25]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(2792, 19707, F27, 24) (dual of [19707, 19615, 25]-code) | [i] | ||
| 14 | Linear OOA(2770, 10733, F27, 2, 24) (dual of [(10733, 2), 21396, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 15 | Digital (46, 70, 10733)-net over F27 | [i] | ||
| 16 | Linear OA(2787, 19701, F27, 24) (dual of [19701, 19614, 25]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(2788, 19703, F27, 24) (dual of [19703, 19615, 25]-code) | [i] | ||
| 18 | Linear OA(2789, 19705, F27, 24) (dual of [19705, 19616, 25]-code) | [i] | ||
| 19 | Linear OA(2790, 19739, F27, 24) (dual of [19739, 19649, 25]-code) | [i] | ||
| 20 | Linear OA(2791, 19749, F27, 24) (dual of [19749, 19658, 25]-code) | [i] | ||
| 21 | Linear OA(2792, 19759, F27, 24) (dual of [19759, 19667, 25]-code) | [i] | ||
| 22 | Linear OA(2773, 19686, F27, 25) (dual of [19686, 19613, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(2770, 19686, F27, 24) (dual of [19686, 19616, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(2777, 19690, F27, 26) (dual of [19690, 19613, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(2771, 19690, F27, 24) (dual of [19690, 19619, 25]-code) | [i] | ✔ | |
| 26 | Linear OA(2782, 19695, F27, 28) (dual of [19695, 19613, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(2772, 19694, F27, 24) (dual of [19694, 19622, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(2786, 19699, F27, 29) (dual of [19699, 19613, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(2773, 19698, F27, 24) (dual of [19698, 19625, 25]-code) | [i] | ✔ | |
| 30 | Linear OA(2790, 19703, F27, 30) (dual of [19703, 19613, 31]-code) | [i] | ✔ | |
| 31 | Linear OA(2774, 19702, F27, 24) (dual of [19702, 19628, 25]-code) | [i] | ✔ | |
| 32 | Linear OA(2794, 19707, F27, 31) (dual of [19707, 19613, 32]-code) | [i] | ✔ | |
| 33 | Linear OA(2775, 19706, F27, 24) (dual of [19706, 19631, 25]-code) | [i] | ✔ | |
| 34 | Linear OA(2798, 19711, F27, 32) (dual of [19711, 19613, 33]-code) | [i] | ✔ | |
| 35 | Linear OA(2776, 19710, F27, 24) (dual of [19710, 19634, 25]-code) | [i] | ✔ | |
| 36 | Linear OA(27103, 19716, F27, 33) (dual of [19716, 19613, 34]-code) | [i] | ✔ | |
| 37 | Linear OA(2778, 19715, F27, 24) (dual of [19715, 19637, 25]-code) | [i] | ✔ | |
| 38 | Linear OA(27107, 19720, F27, 34) (dual of [19720, 19613, 35]-code) | [i] | ✔ | |
| 39 | Linear OA(2779, 19719, F27, 24) (dual of [19719, 19640, 25]-code) | [i] | ✔ | |
| 40 | Linear OA(2780, 19721, F27, 24) (dual of [19721, 19641, 25]-code) | [i] | ✔ | |
| 41 | Linear OA(2781, 19724, F27, 24) (dual of [19724, 19643, 25]-code) | [i] | ✔ | |
| 42 | Linear OA(2782, 19728, F27, 24) (dual of [19728, 19646, 25]-code) | [i] | ✔ | |
| 43 | Linear OA(2783, 19731, F27, 24) (dual of [19731, 19648, 25]-code) | [i] | ✔ | |
| 44 | Linear OA(2784, 19733, F27, 24) (dual of [19733, 19649, 25]-code) | [i] | ✔ | |
| 45 | Linear OA(2777, 19712, F27, 24) (dual of [19712, 19635, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 46 | Linear OOA(2770, 1640, F27, 24, 24) (dual of [(1640, 24), 39290, 25]-NRT-code) | [i] | OA Folding and Stacking | |