Information on Result #611612
Linear OA(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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 OA(350, 6570, F3, 10) (dual of [6570, 6520, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(341, 6569, F3, 8) (dual of [6569, 6528, 9]-code) | [i] | ✔ | |
| 3 | Linear OA(360, 6574, F3, 11) (dual of [6574, 6514, 12]-code) | [i] | ✔ | |
| 4 | Linear OA(361, 6581, F3, 11) (dual of [6581, 6520, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(344, 6574, F3, 8) (dual of [6574, 6530, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(370, 6585, F3, 12) (dual of [6585, 6515, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(369, 6583, F3, 12) (dual of [6583, 6514, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(359, 6572, F3, 11) (dual of [6572, 6513, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(362, 6583, F3, 11) (dual of [6583, 6521, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(351, 6572, F3, 10) (dual of [6572, 6521, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(352, 6573, F3, 10) (dual of [6573, 6521, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(342, 6571, F3, 8) (dual of [6571, 6529, 9]-code) | [i] | ✔ | |