Information on Result #662348
Linear OA(4218, 262167, F4, 30) (dual of [262167, 261949, 31]-code), using (u, u+v)-construction 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
- linear OA(4199, 262144, F4, 30) (dual of [262144, 261945, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, 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(4218, 174499, F4, 2, 30) (dual of [(174499, 2), 348780, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4218, 174499, F4, 3, 30) (dual of [(174499, 3), 523279, 31]-NRT-code) | [i] | ||
| 3 | Digital (188, 218, 174499)-net over F4 | [i] | ||