Information on Result #612073
Linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
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(3186, 19698, F3, 29) (dual of [19698, 19512, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3190, 19703, F3, 29) (dual of [19703, 19513, 30]-code) | [i] | ||
| 3 | Linear OA(3182, 19693, F3, 31) (dual of [19693, 19511, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3172, 19692, F3, 29) (dual of [19692, 19520, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(3193, 19696, F3, 32) (dual of [19696, 19503, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(3194, 19705, F3, 32) (dual of [19705, 19511, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(3175, 19696, F3, 29) (dual of [19696, 19521, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(3176, 19705, F3, 29) (dual of [19705, 19529, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(3206, 19710, F3, 34) (dual of [19710, 19504, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(3207, 19718, F3, 34) (dual of [19718, 19511, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(3205, 19716, F3, 33) (dual of [19716, 19511, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(3178, 19716, F3, 29) (dual of [19716, 19538, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(3219, 19724, F3, 35) (dual of [19724, 19505, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(3220, 19731, F3, 35) (dual of [19731, 19511, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(3183, 19724, F3, 29) (dual of [19724, 19541, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(3184, 19731, F3, 29) (dual of [19731, 19547, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(3234, 19745, F3, 37) (dual of [19745, 19511, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(3188, 19744, F3, 29) (dual of [19744, 19556, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(3247, 19758, F3, 38) (dual of [19758, 19511, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(3218, 19722, F3, 35) (dual of [19722, 19504, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(3219, 19730, F3, 35) (dual of [19730, 19511, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(3182, 19722, F3, 29) (dual of [19722, 19540, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(3183, 19730, F3, 29) (dual of [19730, 19547, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(3233, 19744, F3, 37) (dual of [19744, 19511, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(3231, 19736, F3, 36) (dual of [19736, 19505, 37]-code) | [i] | ✔ | |
| 26 | Linear OA(3186, 19736, F3, 29) (dual of [19736, 19550, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(3187, 19743, F3, 29) (dual of [19743, 19556, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(3204, 19709, F3, 33) (dual of [19709, 19505, 34]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 29 | Linear OA(3203, 19707, F3, 33) (dual of [19707, 19504, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(3193, 19697, F3, 32) (dual of [19697, 19504, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(3184, 19697, F3, 31) (dual of [19697, 19513, 32]-code) | [i] | ✔ | |
| 32 | Linear OA(3175, 19697, F3, 29) (dual of [19697, 19522, 30]-code) | [i] | ✔ | |