Information on Result #611971
Linear OA(3145, 19684, F3, 25) (dual of [19684, 19539, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound)
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(3144, 19683, F3, 24) (dual of [19683, 19539, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(3157, 19697, F3, 25) (dual of [19697, 19540, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(3164, 19703, F3, 27) (dual of [19703, 19539, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(3146, 19703, F3, 23) (dual of [19703, 19557, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(3148, 19688, F3, 25) (dual of [19688, 19540, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(3149, 19694, F3, 25) (dual of [19694, 19545, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(3150, 19704, F3, 25) (dual of [19704, 19554, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(3151, 19708, F3, 25) (dual of [19708, 19557, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(3147, 19688, F3, 24) (dual of [19688, 19541, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(3148, 19697, F3, 24) (dual of [19697, 19549, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(3149, 19706, F3, 24) (dual of [19706, 19557, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(3189, 19712, F3, 31) (dual of [19712, 19523, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(3191, 19720, F3, 31) (dual of [19720, 19529, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(3192, 19725, F3, 31) (dual of [19725, 19533, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(3193, 19732, F3, 31) (dual of [19732, 19539, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(3189, 19725, F3, 30) (dual of [19725, 19536, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(3190, 19729, F3, 30) (dual of [19729, 19539, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(3187, 19726, F3, 29) (dual of [19726, 19539, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(3153, 19712, F3, 25) (dual of [19712, 19559, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(3155, 19720, F3, 25) (dual of [19720, 19565, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(3156, 19725, F3, 25) (dual of [19725, 19569, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(3157, 19732, F3, 25) (dual of [19732, 19575, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(3153, 19725, F3, 24) (dual of [19725, 19572, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(3154, 19729, F3, 24) (dual of [19729, 19575, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(3216, 19755, F3, 33) (dual of [19755, 19539, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(3191, 19723, F3, 31) (dual of [19723, 19532, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(3192, 19731, F3, 31) (dual of [19731, 19539, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(3155, 19723, F3, 25) (dual of [19723, 19568, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(3156, 19731, F3, 25) (dual of [19731, 19575, 26]-code) | [i] | ✔ | |
| 30 | Linear OA(3215, 19754, F3, 33) (dual of [19754, 19539, 34]-code) | [i] | ✔ | |
| 31 | Linear OOA(3145, 9842, F3, 2, 25) (dual of [(9842, 2), 19539, 26]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(3145, 4921, F3, 4, 25) (dual of [(4921, 4), 19539, 26]-NRT-code) | [i] | ||