Information on Result #1070813
Linear OOA(12853, 4096, F128, 4, 27) (dual of [(4096, 4), 16331, 28]-NRT-code), using OOA 4-folding based on linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using
- an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(12866, 4225, F128, 4, 27) (dual of [(4225, 4), 16834, 28]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12867, 4246, F128, 4, 27) (dual of [(4246, 4), 16917, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(12869, 4288, F128, 4, 27) (dual of [(4288, 4), 17083, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(12871, 4312, F128, 4, 27) (dual of [(4312, 4), 17177, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(12872, 4354, F128, 4, 27) (dual of [(4354, 4), 17344, 28]-NRT-code) | [i] | ||
| 6 | Linear OOA(12873, 4375, F128, 4, 27) (dual of [(4375, 4), 17427, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(12874, 4396, F128, 4, 27) (dual of [(4396, 4), 17510, 28]-NRT-code) | [i] | ||
| 8 | Linear OOA(12875, 4417, F128, 4, 27) (dual of [(4417, 4), 17593, 28]-NRT-code) | [i] | ||
| 9 | Linear OOA(12876, 4438, F128, 4, 27) (dual of [(4438, 4), 17676, 28]-NRT-code) | [i] | ||
| 10 | Linear OOA(12877, 4441, F128, 4, 27) (dual of [(4441, 4), 17687, 28]-NRT-code) | [i] | ||
| 11 | Linear OOA(12876, 4483, F128, 4, 27) (dual of [(4483, 4), 17856, 28]-NRT-code) | [i] | ||
| 12 | Linear OOA(12877, 4504, F128, 4, 27) (dual of [(4504, 4), 17939, 28]-NRT-code) | [i] | ||
| 13 | Digital (26, 53, 3509)-net over F128 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |