Information on Result #665365
Linear OA(1618, 134931, F16, 5) (dual of [134931, 134913, 6]-code), using (u, u+v)-construction based on
- linear OA(164, 4369, F16, 2) (dual of [4369, 4365, 3]-code), using
- Hamming code H(4,16) [i]
- linear OA(1614, 130562, F16, 5) (dual of [130562, 130548, 6]-code), using
- trace code [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
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 | OA(824, 134931, S8, 5) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(1618, 134931, F16, 2, 5) (dual of [(134931, 2), 269844, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (13, 18, 134931)-net over F16 | [i] | ||
| 4 | Linear OOA(1618, 67465, F16, 2, 5) (dual of [(67465, 2), 134912, 6]-NRT-code) | [i] | OOA Folding | |