Information on Result #675090
Linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(3154, 19692, F3, 26) (dual of [19692, 19538, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3146, 19693, F3, 25) (dual of [19693, 19547, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(3166, 19696, F3, 28) (dual of [19696, 19530, 29]-code) | [i] | ✔ | |
| 4 | Linear OA(3167, 19705, F3, 28) (dual of [19705, 19538, 29]-code) | [i] | ✔ | |
| 5 | Linear OA(3146, 19702, F3, 24) (dual of [19702, 19556, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(3148, 19696, F3, 25) (dual of [19696, 19548, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3149, 19705, F3, 25) (dual of [19705, 19556, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(3178, 19716, F3, 29) (dual of [19716, 19538, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(3152, 19710, F3, 25) (dual of [19710, 19558, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(3153, 19718, F3, 25) (dual of [19718, 19565, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(3151, 19716, F3, 24) (dual of [19716, 19565, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(3206, 19744, F3, 32) (dual of [19744, 19538, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(3220, 19758, F3, 34) (dual of [19758, 19538, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(3204, 19736, F3, 32) (dual of [19736, 19532, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(3205, 19743, F3, 32) (dual of [19743, 19538, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(3159, 19736, F3, 24) (dual of [19736, 19577, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(3166, 19697, F3, 28) (dual of [19697, 19531, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(3168, 19709, F3, 27) (dual of [19709, 19541, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(3167, 19707, F3, 27) (dual of [19707, 19540, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(3157, 19697, F3, 26) (dual of [19697, 19540, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(3148, 19697, F3, 25) (dual of [19697, 19549, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(3150, 19709, F3, 24) (dual of [19709, 19559, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(3149, 19707, F3, 24) (dual of [19707, 19558, 25]-code) | [i] | ✔ | |
| 24 | Linear OOA(3145, 6561, F3, 3, 25) (dual of [(6561, 3), 19538, 26]-NRT-code) | [i] | OOA Folding | |
| 25 | Linear OOA(3145, 3936, F3, 5, 25) (dual of [(3936, 5), 19535, 26]-NRT-code) | [i] | ||
| 26 | Linear OOA(3145, 1640, F3, 25, 25) (dual of [(1640, 25), 40855, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |