Information on Result #675442
Linear OA(333, 6561, F3, 7) (dual of [6561, 6528, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 OA(341, 6569, F3, 8) (dual of [6569, 6528, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(334, 6570, F3, 7) (dual of [6570, 6536, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(352, 6574, F3, 10) (dual of [6574, 6522, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(353, 6581, F3, 10) (dual of [6581, 6528, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(334, 6578, F3, 6) (dual of [6578, 6544, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(362, 6583, F3, 11) (dual of [6583, 6521, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(351, 6572, F3, 10) (dual of [6572, 6521, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(342, 6571, F3, 8) (dual of [6571, 6529, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(334, 6571, F3, 7) (dual of [6571, 6537, 8]-code) | [i] | ✔ | |
| 10 | Linear OA(334, 6579, F3, 6) (dual of [6579, 6545, 7]-code) | [i] | ✔ | |
| 11 | Linear OOA(333, 2187, F3, 3, 7) (dual of [(2187, 3), 6528, 8]-NRT-code) | [i] | OOA Folding | |