Information on Result #611933
Linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(3147, 19695, F3, 23) (dual of [19695, 19548, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3150, 19699, F3, 23) (dual of [19699, 19549, 24]-code) | [i] | ||
| 3 | Linear OA(3146, 19693, F3, 25) (dual of [19693, 19547, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3136, 19692, F3, 23) (dual of [19692, 19556, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(3157, 19696, F3, 26) (dual of [19696, 19539, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(3158, 19705, F3, 26) (dual of [19705, 19547, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(3139, 19696, F3, 23) (dual of [19696, 19557, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(3140, 19705, F3, 23) (dual of [19705, 19565, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(3170, 19710, F3, 28) (dual of [19710, 19540, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(3171, 19718, F3, 28) (dual of [19718, 19547, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(3169, 19716, F3, 27) (dual of [19716, 19547, 28]-code) | [i] | ✔ | |
| 12 | Linear OA(3142, 19716, F3, 23) (dual of [19716, 19574, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(3183, 19724, F3, 29) (dual of [19724, 19541, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(3184, 19731, F3, 29) (dual of [19731, 19547, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(3147, 19724, F3, 23) (dual of [19724, 19577, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(3148, 19731, F3, 23) (dual of [19731, 19583, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(3198, 19745, F3, 31) (dual of [19745, 19547, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(3182, 19722, F3, 29) (dual of [19722, 19540, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(3183, 19730, F3, 29) (dual of [19730, 19547, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(3146, 19722, F3, 23) (dual of [19722, 19576, 24]-code) | [i] | ✔ | |
| 21 | Linear OA(3147, 19730, F3, 23) (dual of [19730, 19583, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(3197, 19744, F3, 31) (dual of [19744, 19547, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(3195, 19736, F3, 30) (dual of [19736, 19541, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(3150, 19736, F3, 23) (dual of [19736, 19586, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(3168, 19709, F3, 27) (dual of [19709, 19541, 28]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 26 | Linear OA(3167, 19707, F3, 27) (dual of [19707, 19540, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(3157, 19697, F3, 26) (dual of [19697, 19540, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(3148, 19697, F3, 25) (dual of [19697, 19549, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(3139, 19697, F3, 23) (dual of [19697, 19558, 24]-code) | [i] | ✔ | |