Information on Result #1070881
Linear OOA(12857, 4096, F128, 4, 29) (dual of [(4096, 4), 16327, 30]-NRT-code), using OOA 4-folding based on linear OA(12857, 16384, F128, 29) (dual of [16384, 16327, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(12871, 4225, F128, 4, 29) (dual of [(4225, 4), 16829, 30]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12872, 4246, F128, 4, 29) (dual of [(4246, 4), 16912, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(12874, 4288, F128, 4, 29) (dual of [(4288, 4), 17078, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(12876, 4312, F128, 4, 29) (dual of [(4312, 4), 17172, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(12878, 4354, F128, 4, 29) (dual of [(4354, 4), 17338, 30]-NRT-code) | [i] | ||
| 6 | Digital (28, 57, 3464)-net over F128 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |