Information on Result #611678
Linear OA(371, 59049, F3, 11) (dual of [59049, 58978, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(376, 59055, F3, 11) (dual of [59055, 58979, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(377, 59061, F3, 11) (dual of [59061, 58984, 12]-code) | [i] | ||
| 3 | Linear OA(382, 59060, F3, 13) (dual of [59060, 58978, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(371, 59059, F3, 11) (dual of [59059, 58988, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(395, 59073, F3, 14) (dual of [59073, 58978, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(375, 59073, F3, 11) (dual of [59073, 58998, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(3109, 59087, F3, 16) (dual of [59087, 58978, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(3107, 59085, F3, 15) (dual of [59085, 58978, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(377, 59085, F3, 11) (dual of [59085, 59008, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(3106, 59077, F3, 15) (dual of [59077, 58971, 16]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |