Information on Result #1070488
Linear OOA(12837, 4096, F128, 4, 19) (dual of [(4096, 4), 16347, 20]-NRT-code), using OOA 4-folding based on linear OA(12837, 16384, F128, 19) (dual of [16384, 16347, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(12846, 4225, F128, 4, 19) (dual of [(4225, 4), 16854, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12847, 4246, F128, 4, 19) (dual of [(4246, 4), 16937, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(12849, 4288, F128, 4, 19) (dual of [(4288, 4), 17103, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(12850, 4354, F128, 4, 19) (dual of [(4354, 4), 17366, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(12851, 4375, F128, 4, 19) (dual of [(4375, 4), 17449, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(12852, 4396, F128, 4, 19) (dual of [(4396, 4), 17532, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(12853, 4417, F128, 4, 19) (dual of [(4417, 4), 17615, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(12853, 4483, F128, 4, 19) (dual of [(4483, 4), 17879, 20]-NRT-code) | [i] | ||
| 9 | Digital (18, 37, 4096)-net over F128 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |