Information on Result #611614
Linear OA(351, 59049, F3, 8) (dual of [59049, 58998, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, 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(355, 59054, F3, 8) (dual of [59054, 58999, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(362, 59060, F3, 10) (dual of [59060, 58998, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(351, 59059, F3, 8) (dual of [59059, 59008, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(375, 59073, F3, 11) (dual of [59073, 58998, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(355, 59073, F3, 8) (dual of [59073, 59018, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(387, 59085, F3, 12) (dual of [59085, 58998, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(386, 59077, F3, 12) (dual of [59077, 58991, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(362, 59061, F3, 10) (dual of [59061, 58999, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(352, 59061, F3, 8) (dual of [59061, 59009, 9]-code) | [i] | ✔ | |