Information on Result #611834
Linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(3108, 19683, F3, 18) (dual of [19683, 19575, 19]-code) | [i] | Truncation | |
| 2 | Linear OA(3118, 19694, F3, 19) (dual of [19694, 19576, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(3128, 19703, F3, 21) (dual of [19703, 19575, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(3110, 19703, F3, 17) (dual of [19703, 19593, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(3112, 19688, F3, 19) (dual of [19688, 19576, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3113, 19694, F3, 19) (dual of [19694, 19581, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3114, 19704, F3, 19) (dual of [19704, 19590, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(3115, 19708, F3, 19) (dual of [19708, 19593, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(3111, 19688, F3, 18) (dual of [19688, 19577, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(3112, 19697, F3, 18) (dual of [19697, 19585, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(3113, 19706, F3, 18) (dual of [19706, 19593, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(3153, 19712, F3, 25) (dual of [19712, 19559, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(3155, 19720, F3, 25) (dual of [19720, 19565, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(3156, 19725, F3, 25) (dual of [19725, 19569, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(3157, 19732, F3, 25) (dual of [19732, 19575, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(3153, 19725, F3, 24) (dual of [19725, 19572, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(3154, 19729, F3, 24) (dual of [19729, 19575, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(3117, 19712, F3, 19) (dual of [19712, 19595, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(3119, 19720, F3, 19) (dual of [19720, 19601, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(3120, 19725, F3, 19) (dual of [19725, 19605, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(3117, 19725, F3, 18) (dual of [19725, 19608, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(3118, 19729, F3, 18) (dual of [19729, 19611, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(3155, 19723, F3, 25) (dual of [19723, 19568, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(3156, 19731, F3, 25) (dual of [19731, 19575, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(3119, 19723, F3, 19) (dual of [19723, 19604, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(3120, 19731, F3, 19) (dual of [19731, 19611, 20]-code) | [i] | ✔ | |
| 27 | Linear OA(3179, 19754, F3, 27) (dual of [19754, 19575, 28]-code) | [i] | ✔ | |
| 28 | Linear OA(3110, 19704, F3, 17) (dual of [19704, 19594, 18]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 29 | Linear OOA(3109, 9842, F3, 2, 19) (dual of [(9842, 2), 19575, 20]-NRT-code) | [i] | OOA Folding | |
| 30 | Linear OOA(3109, 4921, F3, 4, 19) (dual of [(4921, 4), 19575, 20]-NRT-code) | [i] | ||
| 31 | Linear OOA(3109, 2187, F3, 19, 19) (dual of [(2187, 19), 41444, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |