Information on Result #1070913
Linear OOA(12859, 4096, F128, 4, 30) (dual of [(4096, 4), 16325, 31]-NRT-code), using OOA 4-folding based on linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(12874, 4225, F128, 4, 30) (dual of [(4225, 4), 16826, 31]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12875, 4246, F128, 4, 30) (dual of [(4246, 4), 16909, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(12877, 4288, F128, 4, 30) (dual of [(4288, 4), 17075, 31]-NRT-code) | [i] | ||
| 4 | Digital (29, 59, 3453)-net over F128 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |