Information on Result #662180
Linear OA(4100, 262154, F4, 14) (dual of [262154, 262054, 15]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(44, 5, F4, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,4)), using
- dual of repetition code with length 5 [i]
- linear OA(45, 5, F4, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,4)), using
- linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, 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(4100, 163385, F4, 2, 14) (dual of [(163385, 2), 326670, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4100, 163385, F4, 3, 14) (dual of [(163385, 3), 490055, 15]-NRT-code) | [i] | ||
| 3 | Digital (86, 100, 163385)-net over F4 | [i] | ||