Information on Result #611530
Linear OA(311, 243, F3, 4) (dual of [243, 232, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(316, 248, F3, 5) (dual of [248, 232, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(322, 254, F3, 6) (dual of [254, 232, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(324, 256, F3, 7) (dual of [256, 232, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(323, 251, F3, 7) (dual of [251, 228, 8]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(317, 250, F3, 5) (dual of [250, 233, 6]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(322, 255, F3, 6) (dual of [255, 233, 7]-code) | [i] | ✔ | |