Information on Result #2245700
Linear OA(532, 390624, F5, 5) (dual of [390624, 390592, 6]-code), using 1 times truncation based on linear OA(533, 390625, F5, 6) (dual of [390625, 390592, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(532, 390624, F5, 2, 5) (dual of [(390624, 2), 781216, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(532, 390624, F5, 3, 5) (dual of [(390624, 3), 1171840, 6]-NRT-code) | [i] | ||
| 3 | Digital (27, 32, 390624)-net over F5 | [i] | ||
| 4 | Linear OOA(532, 195312, F5, 2, 5) (dual of [(195312, 2), 390592, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(532, 195311, F5, 3, 5) (dual of [(195311, 3), 585901, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(532, 195311, F5, 5, 5) (dual of [(195311, 5), 976523, 6]-NRT-code) | [i] | ||