Information on Result #617553
Linear OA(2755, 19684, F27, 19) (dual of [19684, 19629, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound)
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(2764, 19712, F27, 19) (dual of [19712, 19648, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2765, 19722, F27, 19) (dual of [19722, 19657, 20]-code) | [i] | ||
| 3 | Linear OA(2766, 19732, F27, 19) (dual of [19732, 19666, 20]-code) | [i] | ||
| 4 | Linear OA(2767, 19736, F27, 19) (dual of [19736, 19669, 20]-code) | [i] | ||
| 5 | Linear OA(2768, 19748, F27, 19) (dual of [19748, 19680, 20]-code) | [i] | ||
| 6 | Linear OA(2769, 19752, F27, 19) (dual of [19752, 19683, 20]-code) | [i] | ||
| 7 | Linear OA(2770, 19789, F27, 19) (dual of [19789, 19719, 20]-code) | [i] | ||
| 8 | Linear OA(2771, 19867, F27, 19) (dual of [19867, 19796, 20]-code) | [i] | ||
| 9 | Linear OA(2772, 20414, F27, 19) (dual of [20414, 20342, 20]-code) | [i] | ||
| 10 | Linear OA(2772, 19704, F27, 19) (dual of [19704, 19632, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 11 | Linear OA(2771, 19702, F27, 19) (dual of [19702, 19631, 20]-code) | [i] | ||
| 12 | Linear OA(2772, 19705, F27, 19) (dual of [19705, 19633, 20]-code) | [i] | ||
| 13 | Linear OA(2769, 19700, F27, 19) (dual of [19700, 19631, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(2770, 19740, F27, 19) (dual of [19740, 19670, 20]-code) | [i] | ||
| 15 | Linear OA(2771, 19750, F27, 19) (dual of [19750, 19679, 20]-code) | [i] | ||
| 16 | Linear OA(2772, 19760, F27, 19) (dual of [19760, 19688, 20]-code) | [i] | ||
| 17 | Linear OA(2764, 19694, F27, 19) (dual of [19694, 19630, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 18 | Linear OA(2762, 19691, F27, 21) (dual of [19691, 19629, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(2756, 19691, F27, 19) (dual of [19691, 19635, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(2770, 19699, F27, 23) (dual of [19699, 19629, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(2758, 19699, F27, 19) (dual of [19699, 19641, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(2778, 19707, F27, 25) (dual of [19707, 19629, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(2760, 19707, F27, 19) (dual of [19707, 19647, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(2786, 19712, F27, 27) (dual of [19712, 19626, 28]-code) | [i] | ✔ | |
| 25 | Linear OA(2787, 19716, F27, 27) (dual of [19716, 19629, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(2785, 19712, F27, 26) (dual of [19712, 19627, 27]-code) | [i] | ✔ | |
| 27 | Linear OA(2762, 19712, F27, 19) (dual of [19712, 19650, 20]-code) | [i] | ✔ | |
| 28 | Linear OA(2763, 19716, F27, 19) (dual of [19716, 19653, 20]-code) | [i] | ✔ | |
| 29 | Linear OA(2761, 19712, F27, 18) (dual of [19712, 19651, 19]-code) | [i] | ✔ | |
| 30 | Linear OA(2795, 19722, F27, 29) (dual of [19722, 19627, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(2796, 19725, F27, 29) (dual of [19725, 19629, 30]-code) | [i] | ✔ | |
| 32 | Linear OA(2794, 19722, F27, 28) (dual of [19722, 19628, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(27104, 19732, F27, 31) (dual of [19732, 19628, 32]-code) | [i] | ✔ | |
| 34 | Linear OA(27105, 19734, F27, 31) (dual of [19734, 19629, 32]-code) | [i] | ✔ | |
| 35 | Linear OOA(2755, 2187, F27, 19, 19) (dual of [(2187, 19), 41498, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |