Information on Result #611554
Linear OA(331, 59049, F3, 5) (dual of [59049, 59018, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(333, 59053, F3, 5) (dual of [59053, 59020, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(331, 53648, F3, 2, 5) (dual of [(53648, 2), 107265, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(331, 53648, F3, 3, 5) (dual of [(53648, 3), 160913, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(331, 53648, F3, 4, 5) (dual of [(53648, 4), 214561, 6]-NRT-code) | [i] | ||
| 5 | Linear OA(342, 59060, F3, 7) (dual of [59060, 59018, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(331, 59059, F3, 5) (dual of [59059, 59028, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(355, 59073, F3, 8) (dual of [59073, 59018, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(342, 59061, F3, 7) (dual of [59061, 59019, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(332, 59061, F3, 5) (dual of [59061, 59029, 6]-code) | [i] | ✔ | |