Information on Result #1070698
Linear OOA(12847, 4096, F128, 4, 24) (dual of [(4096, 4), 16337, 25]-NRT-code), using OOA 4-folding based on linear OA(12847, 16384, F128, 24) (dual of [16384, 16337, 25]-code), using
- an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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 | Linear OOA(12859, 4225, F128, 4, 24) (dual of [(4225, 4), 16841, 25]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12860, 4246, F128, 4, 24) (dual of [(4246, 4), 16924, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(12862, 4288, F128, 4, 24) (dual of [(4288, 4), 17090, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(12864, 4312, F128, 4, 24) (dual of [(4312, 4), 17184, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(12865, 4354, F128, 4, 24) (dual of [(4354, 4), 17351, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(12866, 4375, F128, 4, 24) (dual of [(4375, 4), 17434, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(12867, 4396, F128, 4, 24) (dual of [(4396, 4), 17517, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(12868, 4417, F128, 4, 24) (dual of [(4417, 4), 17600, 25]-NRT-code) | [i] | ||
| 9 | Linear OOA(12869, 4438, F128, 4, 24) (dual of [(4438, 4), 17683, 25]-NRT-code) | [i] | ||
| 10 | Linear OOA(12869, 4483, F128, 4, 24) (dual of [(4483, 4), 17863, 25]-NRT-code) | [i] | ||
| 11 | Digital (23, 47, 3659)-net over F128 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |