Information on Result #611549
Linear OA(316, 243, F3, 5) (dual of [243, 227, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, 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.
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(318, 247, F3, 5) (dual of [247, 229, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(322, 249, F3, 7) (dual of [249, 227, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(316, 248, F3, 5) (dual of [248, 232, 6]-code) | [i] | ✔ | |
| 4 | Linear OA(329, 256, F3, 8) (dual of [256, 227, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(328, 251, F3, 8) (dual of [251, 223, 9]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(323, 251, F3, 7) (dual of [251, 228, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(317, 250, F3, 5) (dual of [250, 233, 6]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |