Information on Result #2255797
Linear OA(2778, 19682, F27, 27) (dual of [19682, 19604, 28]-code), using 1 times truncation based on 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 [i]
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 | OA(9117, 19682, S9, 27) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(2791, 19710, F27, 27) (dual of [19710, 19619, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2792, 19720, F27, 27) (dual of [19720, 19628, 28]-code) | [i] | ||
| 4 | Linear OA(2793, 19730, F27, 27) (dual of [19730, 19637, 28]-code) | [i] | ||
| 5 | Linear OA(2794, 19734, F27, 27) (dual of [19734, 19640, 28]-code) | [i] | ||
| 6 | Linear OA(2795, 19746, F27, 27) (dual of [19746, 19651, 28]-code) | [i] | ||
| 7 | Linear OA(2796, 19750, F27, 27) (dual of [19750, 19654, 28]-code) | [i] | ||
| 8 | Linear OA(2797, 19758, F27, 27) (dual of [19758, 19661, 28]-code) | [i] | ||
| 9 | Linear OA(2798, 19764, F27, 27) (dual of [19764, 19666, 28]-code) | [i] | ||
| 10 | Linear OA(2799, 19766, F27, 27) (dual of [19766, 19667, 28]-code) | [i] | ||
| 11 | Linear OA(27100, 19787, F27, 27) (dual of [19787, 19687, 28]-code) | [i] | ||
| 12 | Linear OA(27102, 19865, F27, 27) (dual of [19865, 19763, 28]-code) | [i] | ||
| 13 | Linear OA(27103, 20412, F27, 27) (dual of [20412, 20309, 28]-code) | [i] | ||
| 14 | Linear OA(27100, 19788, F27, 27) (dual of [19788, 19688, 28]-code) | [i] | ||
| 15 | Linear OA(27101, 19791, F27, 27) (dual of [19791, 19690, 28]-code) | [i] | ||
| 16 | Linear OA(27102, 19868, F27, 27) (dual of [19868, 19766, 28]-code) | [i] | ||
| 17 | Linear OA(27103, 20414, F27, 27) (dual of [20414, 20311, 28]-code) | [i] | ||
| 18 | OA(2796, 19764, S27, 27) | [i] | ||
| 19 | OA(2797, 19782, S27, 27) | [i] | ||
| 20 | OA(2798, 19798, S27, 27) | [i] | ||
| 21 | OA(27101, 19832, S27, 27) | [i] | ||
| 22 | Linear OA(27103, 19710, F27, 27) (dual of [19710, 19607, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 23 | Linear OA(27102, 19709, F27, 27) (dual of [19709, 19607, 28]-code) | [i] | ||
| 24 | Linear OA(27103, 19712, F27, 27) (dual of [19712, 19609, 28]-code) | [i] | ||
| 25 | Linear OOA(2778, 10016, F27, 2, 27) (dual of [(10016, 2), 19954, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 26 | Digital (51, 78, 10016)-net over F27 | [i] | ||
| 27 | Linear OA(27100, 19738, F27, 27) (dual of [19738, 19638, 28]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 28 | Linear OA(27101, 19748, F27, 27) (dual of [19748, 19647, 28]-code) | [i] | ||
| 29 | Linear OA(27102, 19758, F27, 27) (dual of [19758, 19656, 28]-code) | [i] | ||
| 30 | Linear OA(27103, 19768, F27, 27) (dual of [19768, 19665, 28]-code) | [i] | ||
| 31 | Linear OOA(2778, 9841, F27, 2, 27) (dual of [(9841, 2), 19604, 28]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(2778, 1513, F27, 27, 27) (dual of [(1513, 27), 40773, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |