Information on Result #675106
Linear OA(337, 19683, F3, 7) (dual of [19683, 19646, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(346, 19692, F3, 8) (dual of [19692, 19646, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(338, 19693, F3, 7) (dual of [19693, 19655, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(359, 19705, F3, 10) (dual of [19705, 19646, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(338, 19702, F3, 6) (dual of [19702, 19664, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(370, 19716, F3, 11) (dual of [19716, 19646, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(358, 19697, F3, 10) (dual of [19697, 19639, 11]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(349, 19697, F3, 8) (dual of [19697, 19648, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(340, 19697, F3, 7) (dual of [19697, 19657, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(347, 19694, F3, 8) (dual of [19694, 19647, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(338, 19694, F3, 7) (dual of [19694, 19656, 8]-code) | [i] | ✔ | |
| 11 | Linear OA(338, 19703, F3, 6) (dual of [19703, 19665, 7]-code) | [i] | ✔ | |
| 12 | Linear OOA(337, 6561, F3, 3, 7) (dual of [(6561, 3), 19646, 8]-NRT-code) | [i] | OOA Folding | |