Information on Result #611804
Linear OA(3100, 19683, F3, 17) (dual of [19683, 19583, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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, 19692, F3, 17) (dual of [19692, 19584, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3110, 19696, F3, 17) (dual of [19696, 19586, 18]-code) | [i] | ||
| 3 | Linear OA(3110, 19693, F3, 19) (dual of [19693, 19583, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3100, 19692, F3, 17) (dual of [19692, 19592, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(3121, 19696, F3, 20) (dual of [19696, 19575, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(3122, 19705, F3, 20) (dual of [19705, 19583, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(3103, 19696, F3, 17) (dual of [19696, 19593, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(3104, 19705, F3, 17) (dual of [19705, 19601, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(3134, 19710, F3, 22) (dual of [19710, 19576, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(3135, 19718, F3, 22) (dual of [19718, 19583, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(3133, 19716, F3, 21) (dual of [19716, 19583, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(3106, 19716, F3, 17) (dual of [19716, 19610, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(3147, 19724, F3, 23) (dual of [19724, 19577, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(3148, 19731, F3, 23) (dual of [19731, 19583, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(3146, 19722, F3, 23) (dual of [19722, 19576, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(3147, 19730, F3, 23) (dual of [19730, 19583, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(3110, 19722, F3, 17) (dual of [19722, 19612, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(3159, 19736, F3, 24) (dual of [19736, 19577, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(3132, 19709, F3, 21) (dual of [19709, 19577, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(3131, 19707, F3, 21) (dual of [19707, 19576, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(3121, 19697, F3, 20) (dual of [19697, 19576, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(3112, 19697, F3, 19) (dual of [19697, 19585, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(3103, 19697, F3, 17) (dual of [19697, 19594, 18]-code) | [i] | ✔ | |