Information on Result #662102
Linear OA(330, 25928, F3, 5) (dual of [25928, 25898, 6]-code), using (u, u+v)-construction based on
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
- linear OA(328, 25924, F3, 5) (dual of [25924, 25896, 6]-code), using
- trace code [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 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 | Linear OOA(330, 25928, F3, 2, 5) (dual of [(25928, 2), 51826, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(330, 25928, F3, 3, 5) (dual of [(25928, 3), 77754, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(330, 25928, F3, 4, 5) (dual of [(25928, 4), 103682, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(330, 12964, F3, 2, 5) (dual of [(12964, 2), 25898, 6]-NRT-code) | [i] | OOA Folding | |