Information on Result #611741
Linear OA(391, 59049, F3, 14) (dual of [59049, 58958, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(398, 59057, F3, 14) (dual of [59057, 58959, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3102, 59060, F3, 16) (dual of [59060, 58958, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(391, 59059, F3, 14) (dual of [59059, 58968, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(3115, 59073, F3, 17) (dual of [59073, 58958, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(395, 59073, F3, 14) (dual of [59073, 58978, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(3129, 59087, F3, 19) (dual of [59087, 58958, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3127, 59085, F3, 18) (dual of [59085, 58958, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(397, 59085, F3, 14) (dual of [59085, 58988, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(3143, 59101, F3, 20) (dual of [59101, 58958, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(3142, 59100, F3, 20) (dual of [59100, 58958, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(3126, 59077, F3, 18) (dual of [59077, 58951, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |