Information on Result #675085
Linear OA(3181, 19683, F3, 31) (dual of [19683, 19502, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(3190, 19692, F3, 32) (dual of [19692, 19502, 33]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3182, 19693, F3, 31) (dual of [19693, 19511, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(3202, 19696, F3, 34) (dual of [19696, 19494, 35]-code) | [i] | ✔ | |
| 4 | Linear OA(3203, 19705, F3, 34) (dual of [19705, 19502, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(3182, 19702, F3, 30) (dual of [19702, 19520, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(3184, 19696, F3, 31) (dual of [19696, 19512, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(3185, 19705, F3, 31) (dual of [19705, 19520, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(3214, 19716, F3, 35) (dual of [19716, 19502, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(3188, 19710, F3, 31) (dual of [19710, 19522, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(3189, 19718, F3, 31) (dual of [19718, 19529, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(3187, 19716, F3, 30) (dual of [19716, 19529, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(3242, 19744, F3, 38) (dual of [19744, 19502, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(3198, 19745, F3, 31) (dual of [19745, 19547, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(3198, 19754, F3, 30) (dual of [19754, 19556, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(3240, 19736, F3, 38) (dual of [19736, 19496, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(3241, 19743, F3, 38) (dual of [19743, 19502, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(3197, 19744, F3, 31) (dual of [19744, 19547, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(3195, 19736, F3, 30) (dual of [19736, 19541, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(3197, 19753, F3, 30) (dual of [19753, 19556, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(3202, 19697, F3, 34) (dual of [19697, 19495, 35]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(3204, 19709, F3, 33) (dual of [19709, 19505, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(3203, 19707, F3, 33) (dual of [19707, 19504, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(3193, 19697, F3, 32) (dual of [19697, 19504, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(3184, 19697, F3, 31) (dual of [19697, 19513, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(3186, 19709, F3, 30) (dual of [19709, 19523, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(3185, 19707, F3, 30) (dual of [19707, 19522, 31]-code) | [i] | ✔ | |
| 27 | Linear OOA(3181, 6561, F3, 3, 31) (dual of [(6561, 3), 19502, 32]-NRT-code) | [i] | OOA Folding | |
| 28 | Linear OOA(3181, 3936, F3, 5, 31) (dual of [(3936, 5), 19499, 32]-NRT-code) | [i] | ||
| 29 | Linear OOA(3181, 1312, F3, 31, 31) (dual of [(1312, 31), 40491, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |