Information on Result #612250

Linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40

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:

ResultThis
result
only		Method
1Linear OA(3234, 19682, F3, 39) (dual of [19682, 19448, 40]-code) [i]Truncation
2Linear OA(3244, 19692, F3, 41) (dual of [19692, 19448, 42]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3236, 19693, F3, 40) (dual of [19693, 19457, 41]-code) [i]✔
4Linear OA(3238, 19696, F3, 40) (dual of [19696, 19458, 41]-code) [i]✔
5Linear OA(3239, 19705, F3, 40) (dual of [19705, 19466, 41]-code) [i]✔
6Linear OA(3242, 19710, F3, 40) (dual of [19710, 19468, 41]-code) [i]✔
7Linear OA(3243, 19718, F3, 40) (dual of [19718, 19475, 41]-code) [i]✔
8Linear OA(3241, 19716, F3, 39) (dual of [19716, 19475, 40]-code) [i]✔
9Linear OA(3246, 19724, F3, 40) (dual of [19724, 19478, 41]-code) [i]✔
10Linear OA(3247, 19731, F3, 40) (dual of [19731, 19484, 41]-code) [i]✔
11Linear OA(3243, 19724, F3, 39) (dual of [19724, 19481, 40]-code) [i]✔
12Linear OA(3244, 19728, F3, 39) (dual of [19728, 19484, 40]-code) [i]✔
13Linear OA(3245, 19722, F3, 40) (dual of [19722, 19477, 41]-code) [i]✔
14Linear OA(3246, 19730, F3, 40) (dual of [19730, 19484, 41]-code) [i]✔
15Linear OA(3249, 19736, F3, 39) (dual of [19736, 19487, 40]-code) [i]✔
16Linear OA(3250, 19743, F3, 39) (dual of [19743, 19493, 40]-code) [i]✔
17Linear OA(3247, 19697, F3, 41) (dual of [19697, 19450, 42]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
18Linear OA(3238, 19697, F3, 40) (dual of [19697, 19459, 41]-code) [i]✔
19Linear OA(3240, 19709, F3, 39) (dual of [19709, 19469, 40]-code) [i]✔
20Linear OA(3239, 19707, F3, 39) (dual of [19707, 19468, 40]-code) [i]✔
21Linear OOA(3235, 9841, F3, 2, 40) (dual of [(9841, 2), 19447, 41]-NRT-code) [i]OOA Folding
22Linear OOA(3235, 6561, F3, 3, 40) (dual of [(6561, 3), 19448, 41]-NRT-code) [i]
23Linear OOA(3235, 4920, F3, 4, 40) (dual of [(4920, 4), 19445, 41]-NRT-code) [i]
24Linear OOA(3235, 3936, F3, 5, 40) (dual of [(3936, 5), 19445, 41]-NRT-code) [i]