Information on Result #662566
Linear OA(478, 16392, F4, 14) (dual of [16392, 16314, 15]-code), using (u, u+v)-construction based on
- linear OA(47, 8, F4, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,4)), using
- dual of repetition code with length 8 [i]
- linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(478, 12857, F4, 2, 14) (dual of [(12857, 2), 25636, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(478, 12857, F4, 3, 14) (dual of [(12857, 3), 38493, 15]-NRT-code) | [i] | ||
| 3 | Digital (64, 78, 12857)-net over F4 | [i] | ||