Information on Result #617467
Linear OA(2734, 19683, F27, 12) (dual of [19683, 19649, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(2740, 19711, F27, 12) (dual of [19711, 19671, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2741, 19721, F27, 12) (dual of [19721, 19680, 13]-code) | [i] | ||
| 3 | Linear OA(2742, 19731, F27, 12) (dual of [19731, 19689, 13]-code) | [i] | ||
| 4 | Linear OA(2743, 19739, F27, 12) (dual of [19739, 19696, 13]-code) | [i] | ||
| 5 | Linear OA(2744, 19788, F27, 12) (dual of [19788, 19744, 13]-code) | [i] | ||
| 6 | Linear OA(2743, 19693, F27, 12) (dual of [19693, 19650, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(2744, 19739, F27, 12) (dual of [19739, 19695, 13]-code) | [i] | ||
| 8 | Linear OA(2737, 19686, F27, 13) (dual of [19686, 19649, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(2734, 19686, F27, 12) (dual of [19686, 19652, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(2741, 19690, F27, 14) (dual of [19690, 19649, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(2735, 19690, F27, 12) (dual of [19690, 19655, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(2745, 19694, F27, 15) (dual of [19694, 19649, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(2736, 19694, F27, 12) (dual of [19694, 19658, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(2749, 19698, F27, 16) (dual of [19698, 19649, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(2737, 19698, F27, 12) (dual of [19698, 19661, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(2753, 19702, F27, 17) (dual of [19702, 19649, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(2738, 19702, F27, 12) (dual of [19702, 19664, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(2757, 19706, F27, 18) (dual of [19706, 19649, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(2739, 19706, F27, 12) (dual of [19706, 19667, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(2761, 19710, F27, 19) (dual of [19710, 19649, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(2766, 19715, F27, 20) (dual of [19715, 19649, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(2770, 19719, F27, 21) (dual of [19719, 19649, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(2774, 19721, F27, 22) (dual of [19721, 19647, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(2775, 19724, F27, 22) (dual of [19724, 19649, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(2779, 19728, F27, 23) (dual of [19728, 19649, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(2783, 19731, F27, 24) (dual of [19731, 19648, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(2784, 19733, F27, 24) (dual of [19733, 19649, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(2765, 19712, F27, 20) (dual of [19712, 19647, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |