Information on Result #611552
Linear OA(325, 6561, F3, 5) (dual of [6561, 6536, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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(325, 5959, F3, 2, 5) (dual of [(5959, 2), 11893, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(325, 5959, F3, 3, 5) (dual of [(5959, 3), 17852, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(325, 5959, F3, 4, 5) (dual of [(5959, 4), 23811, 6]-NRT-code) | [i] | ||
| 4 | Linear OA(334, 6570, F3, 7) (dual of [6570, 6536, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(325, 6569, F3, 5) (dual of [6569, 6544, 6]-code) | [i] | ✔ | |
| 6 | Linear OA(344, 6574, F3, 8) (dual of [6574, 6530, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(334, 6571, F3, 7) (dual of [6571, 6537, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |