Information on Result #674880
Linear OA(341, 59049, F3, 7) (dual of [59049, 59008, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(351, 59059, F3, 8) (dual of [59059, 59008, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(342, 59060, F3, 7) (dual of [59060, 59018, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(365, 59073, F3, 10) (dual of [59073, 59008, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(342, 59070, F3, 6) (dual of [59070, 59028, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(377, 59085, F3, 11) (dual of [59085, 59008, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(352, 59061, F3, 8) (dual of [59061, 59009, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(342, 59061, F3, 7) (dual of [59061, 59019, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(342, 59071, F3, 6) (dual of [59071, 59029, 7]-code) | [i] | ✔ | |
| 9 | Linear OOA(341, 19683, F3, 3, 7) (dual of [(19683, 3), 59008, 8]-NRT-code) | [i] | OOA Folding | |