Information on Result #617490
Linear OA(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(2747, 19711, F27, 14) (dual of [19711, 19664, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2748, 19721, F27, 14) (dual of [19721, 19673, 15]-code) | [i] | ||
| 3 | Linear OA(2749, 19731, F27, 14) (dual of [19731, 19682, 15]-code) | [i] | ||
| 4 | Linear OA(2750, 19739, F27, 14) (dual of [19739, 19689, 15]-code) | [i] | ||
| 5 | Linear OA(2751, 19747, F27, 14) (dual of [19747, 19696, 15]-code) | [i] | ||
| 6 | Linear OA(2752, 19788, F27, 14) (dual of [19788, 19736, 15]-code) | [i] | ||
| 7 | Linear OA(2751, 19749, F27, 14) (dual of [19749, 19698, 15]-code) | [i] | ||
| 8 | Linear OA(2751, 19695, F27, 14) (dual of [19695, 19644, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OA(2752, 19698, F27, 14) (dual of [19698, 19646, 15]-code) | [i] | ||
| 10 | Linear OA(2749, 19693, F27, 14) (dual of [19693, 19644, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 11 | Linear OA(2750, 19695, F27, 14) (dual of [19695, 19645, 15]-code) | [i] | ||
| 12 | Linear OA(2751, 19739, F27, 14) (dual of [19739, 19688, 15]-code) | [i] | ||
| 13 | Linear OA(2752, 19749, F27, 14) (dual of [19749, 19697, 15]-code) | [i] | ||
| 14 | Linear OA(2743, 19686, F27, 15) (dual of [19686, 19643, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(2740, 19686, F27, 14) (dual of [19686, 19646, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(2747, 19690, F27, 16) (dual of [19690, 19643, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(2741, 19690, F27, 14) (dual of [19690, 19649, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(2751, 19694, F27, 17) (dual of [19694, 19643, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(2742, 19694, F27, 14) (dual of [19694, 19652, 15]-code) | [i] | ✔ | |
| 20 | Linear OA(2755, 19698, F27, 18) (dual of [19698, 19643, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(2743, 19698, F27, 14) (dual of [19698, 19655, 15]-code) | [i] | ✔ | |
| 22 | Linear OA(2759, 19702, F27, 19) (dual of [19702, 19643, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(2744, 19702, F27, 14) (dual of [19702, 19658, 15]-code) | [i] | ✔ | |
| 24 | Linear OA(2763, 19706, F27, 20) (dual of [19706, 19643, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(2745, 19706, F27, 14) (dual of [19706, 19661, 15]-code) | [i] | ✔ | |
| 26 | Linear OA(2767, 19710, F27, 21) (dual of [19710, 19643, 22]-code) | [i] | ✔ | |
| 27 | Linear OA(2746, 19710, F27, 14) (dual of [19710, 19664, 15]-code) | [i] | ✔ | |
| 28 | Linear OA(2772, 19715, F27, 22) (dual of [19715, 19643, 23]-code) | [i] | ✔ | |
| 29 | Linear OA(2776, 19719, F27, 23) (dual of [19719, 19643, 24]-code) | [i] | ✔ | |
| 30 | Linear OA(2780, 19721, F27, 24) (dual of [19721, 19641, 25]-code) | [i] | ✔ | |
| 31 | Linear OA(2781, 19724, F27, 24) (dual of [19724, 19643, 25]-code) | [i] | ✔ | |
| 32 | Linear OA(2785, 19728, F27, 25) (dual of [19728, 19643, 26]-code) | [i] | ✔ | |
| 33 | Linear OA(2789, 19731, F27, 26) (dual of [19731, 19642, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(2790, 19733, F27, 26) (dual of [19733, 19643, 27]-code) | [i] | ✔ | |
| 35 | Linear OA(2796, 19739, F27, 28) (dual of [19739, 19643, 29]-code) | [i] | ✔ | |
| 36 | Linear OA(2771, 19712, F27, 22) (dual of [19712, 19641, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 37 | Linear OA(2747, 19712, F27, 14) (dual of [19712, 19665, 15]-code) | [i] | ✔ | |