Information on Result #1070944
Linear OOA(12861, 4096, F128, 4, 31) (dual of [(4096, 4), 16323, 32]-NRT-code), using OOA 4-folding based on linear OA(12861, 16384, F128, 31) (dual of [16384, 16323, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(12876, 4225, F128, 4, 31) (dual of [(4225, 4), 16824, 32]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(12877, 4246, F128, 4, 31) (dual of [(4246, 4), 16907, 32]-NRT-code) | [i] | ||
3 | Digital (30, 61, 3448)-net over F128 | [i] | Embedding of OOA with Gilbert–Varšamov Bound |