Information on Result #662399
Linear OA(4147, 16398, F4, 26) (dual of [16398, 16251, 27]-code), using (u, u+v)-construction based on
- linear OA(413, 14, F4, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,4)), using
- dual of repetition code with length 14 [i]
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(4147, 15005, F4, 2, 26) (dual of [(15005, 2), 29863, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4147, 15005, F4, 3, 26) (dual of [(15005, 3), 44868, 27]-NRT-code) | [i] | ||
| 3 | Digital (121, 147, 15005)-net over F4 | [i] | ||