Information on Result #611740
Linear OA(382, 19683, F3, 14) (dual of [19683, 19601, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, 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(389, 19691, F3, 14) (dual of [19691, 19602, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(392, 19693, F3, 16) (dual of [19693, 19601, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(382, 19692, F3, 14) (dual of [19692, 19610, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(3103, 19696, F3, 17) (dual of [19696, 19593, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(3104, 19705, F3, 17) (dual of [19705, 19601, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(385, 19696, F3, 14) (dual of [19696, 19611, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(386, 19705, F3, 14) (dual of [19705, 19619, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(3116, 19710, F3, 19) (dual of [19710, 19594, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(3117, 19718, F3, 19) (dual of [19718, 19601, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(3115, 19716, F3, 18) (dual of [19716, 19601, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(388, 19716, F3, 14) (dual of [19716, 19628, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(3129, 19724, F3, 20) (dual of [19724, 19595, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(3130, 19731, F3, 20) (dual of [19731, 19601, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(3128, 19722, F3, 20) (dual of [19722, 19594, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(3129, 19730, F3, 20) (dual of [19730, 19601, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(3114, 19709, F3, 18) (dual of [19709, 19595, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(3113, 19707, F3, 18) (dual of [19707, 19594, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(3103, 19697, F3, 17) (dual of [19697, 19594, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(394, 19697, F3, 16) (dual of [19697, 19603, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(385, 19697, F3, 14) (dual of [19697, 19612, 15]-code) | [i] | ✔ | |