Information on Result #617755
Linear OA(2797, 19683, F27, 34) (dual of [19683, 19586, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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(27100, 19686, F27, 35) (dual of [19686, 19586, 36]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2797, 19686, F27, 34) (dual of [19686, 19589, 35]-code) | [i] | ✔ | |
| 3 | Linear OA(27104, 19690, F27, 36) (dual of [19690, 19586, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(2798, 19690, F27, 34) (dual of [19690, 19592, 35]-code) | [i] | ✔ | |
| 5 | Linear OA(27108, 19694, F27, 37) (dual of [19694, 19586, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2799, 19694, F27, 34) (dual of [19694, 19595, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(27100, 19698, F27, 34) (dual of [19698, 19598, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(27101, 19702, F27, 34) (dual of [19702, 19601, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(27102, 19706, F27, 34) (dual of [19706, 19604, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(27104, 19711, F27, 34) (dual of [19711, 19607, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(27106, 19716, F27, 34) (dual of [19716, 19610, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(27107, 19720, F27, 34) (dual of [19720, 19613, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(27109, 19725, F27, 34) (dual of [19725, 19616, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(27110, 19729, F27, 34) (dual of [19729, 19619, 35]-code) | [i] | ✔ | |