Information on Result #611677

Linear OA(364, 19683, F3, 11) (dual of [19683, 19619, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(369, 19689, F3, 11) (dual of [19689, 19620, 12]-code) [i](u, u+v)-Construction
2Linear OA(370, 19695, F3, 11) (dual of [19695, 19625, 12]-code) [i]
3Linear OA(374, 19693, F3, 13) (dual of [19693, 19619, 14]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(364, 19692, F3, 11) (dual of [19692, 19628, 12]-code) [i]✔
5Linear OA(385, 19696, F3, 14) (dual of [19696, 19611, 15]-code) [i]✔
6Linear OA(386, 19705, F3, 14) (dual of [19705, 19619, 15]-code) [i]✔
7Linear OA(367, 19696, F3, 11) (dual of [19696, 19629, 12]-code) [i]✔
8Linear OA(368, 19705, F3, 11) (dual of [19705, 19637, 12]-code) [i]✔
9Linear OA(398, 19710, F3, 16) (dual of [19710, 19612, 17]-code) [i]✔
10Linear OA(399, 19718, F3, 16) (dual of [19718, 19619, 17]-code) [i]✔
11Linear OA(397, 19716, F3, 15) (dual of [19716, 19619, 16]-code) [i]✔
12Linear OA(370, 19716, F3, 11) (dual of [19716, 19646, 12]-code) [i]✔
13Linear OA(3110, 19722, F3, 17) (dual of [19722, 19612, 18]-code) [i]✔
14Linear OA(396, 19709, F3, 15) (dual of [19709, 19613, 16]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(385, 19697, F3, 14) (dual of [19697, 19612, 15]-code) [i]✔
16Linear OA(376, 19697, F3, 13) (dual of [19697, 19621, 14]-code) [i]✔
17Linear OA(367, 19697, F3, 11) (dual of [19697, 19630, 12]-code) [i]✔