Information on Result #663049
Linear OA(570, 78132, F5, 12) (dual of [78132, 78062, 13]-code), using (u, u+v)-construction based on
- linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
- dual of repetition code with length 7 [i]
- linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(570, 75296, F5, 2, 12) (dual of [(75296, 2), 150522, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(570, 75296, F5, 3, 12) (dual of [(75296, 3), 225818, 13]-NRT-code) | [i] | ||
| 3 | Digital (58, 70, 75296)-net over F5 | [i] | ||