Information on Result #611609
Linear OA(326, 243, F3, 8) (dual of [243, 217, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(330, 248, F3, 8) (dual of [248, 218, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(332, 249, F3, 10) (dual of [249, 217, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(326, 248, F3, 8) (dual of [248, 222, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(339, 256, F3, 11) (dual of [256, 217, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(329, 256, F3, 8) (dual of [256, 227, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(348, 265, F3, 13) (dual of [265, 217, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(346, 263, F3, 12) (dual of [263, 217, 13]-code) | [i] | ✔ | |
| 8 | Linear OA(354, 271, F3, 14) (dual of [271, 217, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(345, 259, F3, 12) (dual of [259, 214, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(338, 251, F3, 11) (dual of [251, 213, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(333, 251, F3, 10) (dual of [251, 218, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(328, 251, F3, 8) (dual of [251, 223, 9]-code) | [i] | ✔ | |