Information on Result #662365
Linear OA(4187, 65558, F4, 29) (dual of [65558, 65371, 30]-code), using (u, u+v)-construction based on
- linear OA(418, 22, F4, 14) (dual of [22, 4, 15]-code), using
- 1 times truncation [i] based on linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using
- construction X applied to C1 ⊂ C2 with C1 a [17,1,16]-code [i] based on
- 1 times truncation [i] based on linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, 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(4187, 51124, F4, 2, 29) (dual of [(51124, 2), 102061, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4187, 51124, F4, 3, 29) (dual of [(51124, 3), 153185, 30]-NRT-code) | [i] | ||
| 3 | Digital (158, 187, 51124)-net over F4 | [i] | ||